{"id":2050,"date":"2026-07-24T14:12:03","date_gmt":"2026-07-24T07:12:03","guid":{"rendered":"https:\/\/www.itera.ac.id\/blog\/?p=2050"},"modified":"2026-07-24T12:43:19","modified_gmt":"2026-07-24T05:43:19","slug":"contoh-soal-transformasi-geometri","status":"publish","type":"post","link":"https:\/\/www.itera.ac.id\/blog\/contoh-soal-transformasi-geometri\/","title":{"rendered":"Contoh Soal Transformasi Geometri Lengkap dengan Jawaban dan Pembahasan"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Contoh soal transformasi geometri<\/strong> sangat membantu siswa SMP, SMA, maupun peserta ujian dalam memahami perubahan posisi suatu titik atau bangun pada bidang koordinat. Materi ini mencakup translasi (pergeseran), refleksi (pencerminan), rotasi (perputaran), dan dilatasi (perkalian skala), yang sering muncul dalam soal matematika.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sebelum mengerjakan <strong>contoh soal transformasi geometri<\/strong>, pahami terlebih dahulu konsep dasar beserta rumus setiap jenis transformasi agar lebih mudah menyelesaikan soal perhitungan maupun analisis.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Transformasi yang paling sering dipelajari meliputi:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Translasi (Pergeseran):<\/strong> Titik <math><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)<\/annotation><\/semantics><\/math>(x,y) digeser sejauh <math><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>a<\/mi><mo separator=\"true\">,<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(a,b)<\/annotation><\/semantics><\/math>(a,b) menjadi <math><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>+<\/mo><mi>a<\/mi><mo separator=\"true\">,<\/mo><mtext>\u2005\u200a<\/mtext><mi>y<\/mi><mo>+<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x+a,\\;y+b)<\/annotation><\/semantics><\/math>(x+a,y+b).<\/li>\n\n\n\n<li><strong>Refleksi (Pencerminan):<\/strong> Posisi bayangan bergantung pada sumbu atau garis cermin, misalnya terhadap sumbu-X, sumbu-Y, atau garis <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=x<\/annotation><\/semantics><\/math>y=x.<\/li>\n\n\n\n<li><strong>Rotasi (Perputaran):<\/strong> Bangun diputar terhadap titik pusat dengan sudut tertentu, misalnya 90\u00b0, 180\u00b0, atau 270\u00b0.<\/li>\n\n\n\n<li><strong>Dilatasi (Perkalian Skala):<\/strong> Ukuran bangun diperbesar atau diperkecil dengan faktor skala tertentu terhadap suatu titik pusat.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Salah satu rumus dasar yang sering digunakan pada materi translasi adalah:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>+<\/mo><mi>a<\/mi><mo separator=\"true\">,<\/mo><mtext>\u2005\u200a<\/mtext><mi>y<\/mi><mo>+<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(x+a,\\;y+b)<\/annotation><\/semantics><\/math>(x,y)\u2192(x+a,y+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedangkan pada dilatasi dengan pusat di titik asal <math><semantics><mrow><mo stretchy=\"false\">(<\/mo><mn>0<\/mn><mo separator=\"true\">,<\/mo><mn>0<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(0,0)<\/annotation><\/semantics><\/math>(0,0) dan faktor skala <math><semantics><mrow><mi>k<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">k<\/annotation><\/semantics><\/math>k:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>k<\/mi><mi>x<\/mi><mo separator=\"true\">,<\/mo><mtext>\u2005\u200a<\/mtext><mi>k<\/mi><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(kx,\\;ky)<\/annotation><\/semantics><\/math>(x,y)\u2192(kx,ky)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dengan memahami konsep-konsep tersebut, Anda akan lebih mudah mengerjakan berbagai <strong>contoh soal transformasi geometri<\/strong>, baik yang berkaitan dengan koordinat titik, bayangan bangun, maupun penerapan transformasi pada bidang Kartesius.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 1<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik A(3, 2) ditranslasikan oleh vektor (4, -1). Koordinat bayangan titik A adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (7, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (6, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (7, 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (1, 7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (4, 2)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (7, 1)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Pada translasi berlaku:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>+<\/mo><mi>a<\/mi><mo separator=\"true\">,<\/mo><mtext>\u2005\u200a<\/mtext><mi>y<\/mi><mo>+<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(x+a,\\;y+b)<\/annotation><\/semantics><\/math>(x,y)\u2192(x+a,y+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A(3,2) \u2192 (3+4, 2\u22121) = <strong>(7,1)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pilihan lain tidak sesuai dengan aturan translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil translasi suatu titik.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat bayangan setelah translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 2<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik B(-5, 4) dicerminkan terhadap sumbu-X. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (5, 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-5, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (4, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (5, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-4, 5)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (-5, -4)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap sumbu-X mengubah koordinat:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(x,-y)<\/annotation><\/semantics><\/math>(x,y)\u2192(x,\u2212y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga titik (-5,4) menjadi <strong>(-5,-4)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap sumbu-X.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan koordinat hasil pencerminan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2 (Memahami)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 3<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik C(2, 5) diputar sebesar 90\u00b0 berlawanan arah jarum jam dengan pusat di titik O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (5, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-5, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (2, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-2, 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (5, -2)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (-5, 2)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 90\u00b0 berlawanan arah jarum jam terhadap titik asal menggunakan aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mi>y<\/mi><mo separator=\"true\">,<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(-y,x)<\/annotation><\/semantics><\/math>(x,y)\u2192(\u2212y,x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(2,5) \u2192 <strong>(-5,2)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil rotasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 4<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik D(4, -2) didilatasikan dengan faktor skala 3 terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (12, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (8, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (7, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (12, 6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (4, -6)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (12, -6)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Dilatasi dengan pusat O dan faktor skala k menggunakan aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>k<\/mi><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>k<\/mi><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(kx,ky)<\/annotation><\/semantics><\/math>(x,y)\u2192(kx,ky)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(4,-2) \u2192 (12,-6).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil dilatasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil dilatasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 5<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi titik E(6, -1) terhadap sumbu-Y menghasilkan koordinat \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-6, -1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (6, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-6, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (1, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-1, 6)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-6, -1)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap sumbu-Y menggunakan aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(-x,y)<\/annotation><\/semantics><\/math>(x,y)\u2192(\u2212x,y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka titik (6,-1) berubah menjadi <strong>(-6,-1)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap sumbu-Y.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan koordinat hasil pencerminan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2 (Memahami)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 6<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik F(-3, 5) diputar 180\u00b0 terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (3, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-5, 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (5, -3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (3, 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-3, -5)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (3, -5)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 180\u00b0 terhadap titik asal mengikuti aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(-x,-y)<\/annotation><\/semantics><\/math>(x,y)\u2192(\u2212x,\u2212y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-3,5) \u2192 <strong>(3,-5)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi 180\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil rotasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 7<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah titik P(2, 3) ditranslasikan sejauh (-4, 6). Koordinat bayangan titik P adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-2, 9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (6, 9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-2, -3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (2, 9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-4, 6)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-2, 9)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Koordinat baru diperoleh dengan menjumlahkan koordinat awal dengan vektor translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(2\u22124, 3+6) = <strong>(-2,9)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menggunakan konsep translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan bayangan titik setelah translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 8<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik Q(-4, 7) dicerminkan terhadap garis <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=x<\/annotation><\/semantics><\/math>y=x. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (7, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-7, 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (4, 7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-4, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (7, 4)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (7, -4)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap garis <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=x<\/annotation><\/semantics><\/math>y=x menggunakan aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mo separator=\"true\">,<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(y,x)<\/annotation><\/semantics><\/math>(x,y)\u2192(y,x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-4,7) \u2192 <strong>(7,-4)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap garis <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=x<\/annotation><\/semantics><\/math>y=x.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan aturan pencerminan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 9<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik R(5, -2) didilatasikan dengan faktor skala 2 terhadap titik asal. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (10, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (7, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (10, 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (5, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (8, -2)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (10, -4)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Dilatasi dengan faktor skala 2 berarti setiap koordinat dikalikan 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(5,-2) \u2192 <strong>(10,-4)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil dilatasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil pembesaran.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 10<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah titik S(1, 6) diputar sebesar 270\u00b0 berlawanan arah jarum jam terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (6, -1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-6, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (1, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-1, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (6, 1)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (6, -1)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 270\u00b0 berlawanan arah jarum jam menggunakan aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(y,-x)<\/annotation><\/semantics><\/math>(x,y)\u2192(y,\u2212x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(1,6) \u2192 <strong>(6,-1)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi 270\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil rotasi pada bidang Kartesius.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 11<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik A(6, 2) dicerminkan terhadap garis <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=-x<\/annotation><\/semantics><\/math>y=\u2212x. Koordinat bayangan titik A adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-2, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (2, 6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-6, -2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (2, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-6, 2)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-2, -6)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap garis <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=-x<\/annotation><\/semantics><\/math>y=\u2212x mengikuti aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mi>y<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(-y,-x)<\/annotation><\/semantics><\/math>(x,y)\u2192(\u2212y,\u2212x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(6,2) \u2192 <strong>(-2,-6)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap garis <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=-x<\/annotation><\/semantics><\/math>y=\u2212x.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil pencerminan terhadap garis tertentu.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 12<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik B(-4, 3) ditranslasikan oleh vektor (7, -5). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (3, -2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (11, -2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-11, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (3, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-3, -2)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (3, -2)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Hasil translasi diperoleh dengan menjumlahkan koordinat titik dengan vektor translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-4+7, 3\u22125) = <strong>(3,-2)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menggunakan konsep translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan koordinat hasil translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 13<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik C(5, -1) diputar sebesar 90\u00b0 searah jarum jam terhadap titik O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (1, 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-1, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-5, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (1, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (5, 1)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (-1, -5)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 90\u00b0 searah jarum jam menggunakan aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(y,-x)<\/annotation><\/semantics><\/math>(x,y)\u2192(y,\u2212x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(5,-1) \u2192 <strong>(-1,-5)?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Karena <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">y=-1<\/annotation><\/semantics><\/math>y=\u22121, maka:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mn>5<\/mn><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mn>5<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(5,-1)\\rightarrow(-1,-5)<\/annotation><\/semantics><\/math>(5,\u22121)\u2192(\u22121,\u22125)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi jawaban yang benar adalah <strong>B. (-1, -5)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi 90\u00b0 searah jarum jam.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan aturan rotasi pada bidang koordinat.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 14<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik D(2, -6) didilatasikan dengan faktor skala <math><semantics><mrow><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{1}{2}<\/annotation><\/semantics><\/math>21\u200b terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (1, -3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (4, -12)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (2, -3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (3, -1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (1, 3)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (1, -3)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Dilatasi dengan faktor skala <math><semantics><mrow><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{1}{2}<\/annotation><\/semantics><\/math>21\u200b:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mrow><mo fence=\"true\">(<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mi>x<\/mi><mo separator=\"true\">,<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mi>y<\/mi><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow\\left(\\frac12x,\\frac12y\\right)<\/annotation><\/semantics><\/math>(x,y)\u2192(21\u200bx,21\u200by)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(2,-6) \u2192 <strong>(1,-3)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menggunakan konsep dilatasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung hasil pengecilan bangun.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 15<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi titik E(-8, 5) terhadap sumbu-Y menghasilkan koordinat \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (8, 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-8, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (5, -8)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (8, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-5, 8)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (8, 5)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap sumbu-Y mengubah koordinat menjadi:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(-x,y)<\/annotation><\/semantics><\/math>(x,y)\u2192(\u2212x,y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-8,5) \u2192 <strong>(8,5)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil pencerminan terhadap sumbu-Y.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2 (Memahami)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 16<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik F(7, 4) diputar 180\u00b0 terhadap titik asal. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-7, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (7, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-4, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (4, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-7, 4)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-7, -4)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 180\u00b0 terhadap titik asal mengikuti aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(-x,-y)<\/annotation><\/semantics><\/math>(x,y)\u2192(\u2212x,\u2212y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(7,4) \u2192 <strong>(-7,-4)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi 180\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan koordinat hasil rotasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 17<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah titik G(-2, -3) didilatasikan dengan faktor skala 4 terhadap titik asal. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-6, -9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-8, -12)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (8, 12)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-4, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (8, -12)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (-8, -12)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Dilatasi dengan faktor skala 4 berarti setiap koordinat dikalikan 4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-2,-3) \u2192 <strong>(-8,-12)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menggunakan konsep dilatasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan hasil pembesaran bangun.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 18<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik H(9, -2) dicerminkan terhadap sumbu-X. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-9, -2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (9, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-9, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (2, 9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-2, 9)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (9, 2)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap sumbu-X mengikuti aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(x,-y)<\/annotation><\/semantics><\/math>(x,y)\u2192(x,\u2212y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(9,-2) \u2192 <strong>(9,2)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap sumbu-X.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil pencerminan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2 (Memahami)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 19<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik J(3, -7) diputar sebesar 270\u00b0 berlawanan arah jarum jam terhadap titik asal. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-7, -3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-7, -3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-3, 7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (7, 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (3, 7)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (-7, -3)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 270\u00b0 berlawanan arah jarum jam menggunakan aturan:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(y,-x)<\/annotation><\/semantics><\/math>(x,y)\u2192(y,\u2212x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(3,-7) \u2192 <strong>(-7,-3)?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Karena <math><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mn>7<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">y=-7<\/annotation><\/semantics><\/math>y=\u22127, maka hasilnya:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mn>3<\/mn><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mn>7<\/mn><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mo>\u2212<\/mo><mn>7<\/mn><mo separator=\"true\">,<\/mo><mo>\u2212<\/mo><mn>3<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(3,-7)\\rightarrow(-7,-3)<\/annotation><\/semantics><\/math>(3,\u22127)\u2192(\u22127,\u22123)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jadi jawaban yang benar adalah <strong>A. (-7, -3)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan aturan rotasi 270\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 20<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah titik K(-6, 1) ditranslasikan oleh vektor (5, 8). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-11, 9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-1, 9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-1, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (11, 9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (1, 14)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (-1, 9)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan rumus translasi:<math display=\"block\"><semantics><mrow><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo separator=\"true\">,<\/mo><mi>y<\/mi><mo stretchy=\"false\">)<\/mo><mo>\u2192<\/mo><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>+<\/mo><mi>a<\/mi><mo separator=\"true\">,<\/mo><mtext>\u2005\u200a<\/mtext><mi>y<\/mi><mo>+<\/mo><mi>b<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">(x,y)\\rightarrow(x+a,\\;y+b)<\/annotation><\/semantics><\/math>(x,y)\u2192(x+a,y+b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-6+5, 1+8) = <strong>(-1,9)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil translasi pada bidang Kartesius.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat bayangan hasil translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 21<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik L(4, 8) dicerminkan terhadap garis <strong>y = x<\/strong>. Koordinat bayangan titik L adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (8, 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-8, 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (4, -8)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-4, 8)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (8, -4)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (8, 4)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap garis <strong>y = x<\/strong> mengikuti aturan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (y, x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L(4, 8) \u2192 <strong>(8, 4)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap garis y = x.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan aturan refleksi pada bidang Kartesius.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 22<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik M(-5, 6) diputar 90\u00b0 berlawanan arah jarum jam terhadap titik O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-6, -5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (6, 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-6, 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (5, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (6, -5)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-6, -5)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 90\u00b0 berlawanan arah jarum jam mengikuti aturan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (-y, x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-5, 6) \u2192 <strong>(-6, -5)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi 90\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil rotasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 23<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik N(3, -4) didilatasikan dengan faktor skala 5 terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (15, -20)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (8, -9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (15, 20)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-15, -20)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (5, -20)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (15, -20)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Dilatasi dengan faktor skala 5 berarti setiap koordinat dikalikan 5.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(3, -4) \u2192 (3 \u00d7 5, -4 \u00d7 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= <strong>(15, -20)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menggunakan konsep dilatasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan hasil pembesaran bangun.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 24<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik P(-7, -2) dicerminkan terhadap sumbu-X. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (7, -2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-7, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (7, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-2, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-2, 7)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (-7, 2)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap sumbu-X mengikuti aturan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (x, -y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-7, -2) \u2192 <strong>(-7, 2)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap sumbu-X.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil pencerminan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2 (Memahami)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 25<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Sebuah titik Q(6, -3) ditranslasikan oleh vektor (-8, 4). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-2, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (14, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-2, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (2, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-14, 7)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-2, 1)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Gunakan rumus translasi:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (x + a, y + b)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(6 \u2013 8, -3 + 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= <strong>(-2, 1)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil translasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 26<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik R(2, 9) diputar 180\u00b0 terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-2, -9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (2, -9)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-9, -2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (9, 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-2, 9)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-2, -9)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 180\u00b0 mengikuti aturan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (-x, -y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(2, 9) \u2192 <strong>(-2, -9)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi 180\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan aturan rotasi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 27<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik S(-1, 5) didilatasikan dengan faktor skala <strong>3\/2<\/strong> terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-1,5 ; 7,5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (1,5 ; 7,5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-3 ; 15)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-1,5 ; 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-2 ; 10)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-1,5 ; 7,5)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Dilatasi dengan faktor skala <strong>3\/2<\/strong> berarti setiap koordinat dikalikan <strong>1,5<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = -1 \u00d7 1,5 = -1,5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y = 5 \u00d7 1,5 = 7,5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sehingga bayangan titik S adalah:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>(-1,5 ; 7,5)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menggunakan konsep dilatasi dengan faktor pecahan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung hasil dilatasi dengan faktor skala pecahan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sulit<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">4 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 28<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik T(8, -6) dicerminkan terhadap sumbu-Y. Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-8, -6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (8, 6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (-8, 6)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (6, -8)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-6, 8)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-8, -6)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap sumbu-Y mengikuti aturan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (-x, y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(8, -6) \u2192 <strong>(-8, -6)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap sumbu-Y.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menghitung koordinat hasil pencerminan.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C2 (Memahami)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 29<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik U(-4, 1) diputar 270\u00b0 berlawanan arah jarum jam terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-1, 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (1, 4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (1, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (-1, -4)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (4, 1)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>B. (1, 4)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Rotasi 270\u00b0 berlawanan arah jarum jam mengikuti aturan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (y, -x)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(-4, 1) \u2192 <strong>(1, 4)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil rotasi 270\u00b0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menerapkan aturan rotasi pada bidang Kartesius.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C4 (Menganalisis)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sedang<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3 menit<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Soal Nomor 30<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Pertanyaan<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Titik V(5, 7) dicerminkan terhadap titik asal O(0,0). Koordinat bayangannya adalah \u2026.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pilihan Jawaban<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">A. (-5, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B. (-5, 7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C. (5, -7)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D. (7, 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E. (-7, -5)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Jawaban Benar<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A. (-5, -7)<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Pembahasan Lengkap<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Refleksi terhadap titik asal mengikuti aturan:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(x, y) \u2192 (-x, -y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Maka:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(5, 7) \u2192 <strong>(-5, -7)<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Kompetensi yang Diukur<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Menentukan hasil refleksi terhadap titik asal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Indikator Pembelajaran<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Peserta didik mampu menentukan koordinat hasil pencerminan terhadap titik asal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Level Kognitif (Taksonomi Bloom C1\u2013C6)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C3 (Menerapkan)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Tingkat Kesulitan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mudah<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Estimasi Waktu Pengerjaan<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 menit<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Kesimpulan<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Contoh soal transformasi geometri<\/strong> merupakan media belajar yang efektif untuk memahami konsep translasi, refleksi, rotasi, dan dilatasi. Dengan memahami aturan setiap jenis transformasi serta sering berlatih mengerjakan soal, peserta didik akan lebih mudah menentukan koordinat bayangan suatu titik maupun bangun pada bidang Kartesius.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Melalui latihan yang konsisten, <strong>contoh soal transformasi geometri<\/strong> juga dapat meningkatkan kemampuan berpikir logis, analitis, dan ketelitian dalam menyelesaikan permasalahan matematika. Penguasaan materi ini sangat bermanfaat untuk menghadapi ulangan harian, ujian sekolah, TKA, hingga berbagai seleksi akademik yang menguji kemampuan geometri.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Contoh soal transformasi geometri sangat membantu siswa SMP, SMA, maupun peserta ujian dalam memahami perubahan posisi suatu titik atau bangun&hellip;<\/p>\n","protected":false},"author":3,"featured_media":2051,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-2050","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pendidikan"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Contoh Soal Transformasi Geometri Lengkap dengan Jawaban dan Pembahasan<\/title>\n<meta name=\"description\" content=\"Contoh soal transformasi geometri lengkap dengan jawaban. 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