{"id":2144,"date":"2026-04-02T17:58:47","date_gmt":"2026-04-02T17:58:47","guid":{"rendered":"https:\/\/rumahpintar.co.id\/blog\/?p=2144"},"modified":"2026-04-09T04:05:10","modified_gmt":"2026-04-09T04:05:10","slug":"kekongruenan-dan-kesebangunan-bangun-datar","status":"publish","type":"post","link":"https:\/\/rumahpintar.co.id\/blog\/kekongruenan-dan-kesebangunan-bangun-datar\/","title":{"rendered":"Mengenal Konsep Kekongruenan dan Kesebangunan Bangun Datar"},"content":{"rendered":"

Bimbel Rumah Pintar<\/strong><\/a> – <\/span>Kekongruenan dan Kesebangunan Bangun Datar <\/b>adalah kunci untuk menaklukkan soal-soal geometri yang sering muncul dalam ujian Asesmen TKA Matematika SMP. Banyak siswa merasa kesulitan membedakan keduanya, padahal dengan memahami prinsip perbandingan dan kesamaan, soal yang terlihat rumit bisa diselesaikan dalam hitungan detik.<\/span><\/p>\n

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Artikel ini akan mengupas tuntas konsep objek geometri tersebut, mulai dari syarat-syarat dasar, rumus segitiga siku-siku, hingga strategi jitu menyelesaikan soal tipe TKA agar Anda siap meraih skor maksimal.<\/p>\n

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Apa Itu Kekongruenan dan Kesebangunan Bangun Datar?<\/h2>\n

Dalam dunia geometri, dua bangun datar bisa memiliki hubungan spesial. Memahami hubungan ini sangat penting karena soal TKA sering kali meminta kita mencari panjang sisi atau besar sudut yang “tersembunyi”.<\/p>\n

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      Kekongruenan (Kongruen):<\/b> Dua bangun disebut kongruen jika mereka identik<\/b>. Bayangkan Anda memfotokopi sebuah kertas; hasilnya memiliki bentuk dan ukuran yang sama persis. Notasi: \u2245<\/span><\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n

    • \n

      Kesebangunan (Sebangun):<\/b> Dua bangun disebut sebangun jika mereka memiliki bentuk yang sama<\/b>, tetapi ukurannya diperbesar atau diperkecil secara proporsional. Notasi: \u223c<\/span><\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

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      \"Kekongruenan<\/div>\n<\/div>\n<\/div>\n<\/div>\n

      <\/h3>\n

      Tabel Perbedaan Kongruensi dan Kesebangunan Bangun Datar<\/h3>\n

       <\/p>\n

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      \n\n\n\n\n\n\n\n\n
      Aspek<\/span><\/th>\nKongruen (\u2245<\/span><\/span><\/span><\/span><\/span>)<\/span><\/th>\nSebangun (\u223c<\/span><\/span><\/span><\/span><\/span>)<\/span><\/th>\n<\/tr>\n<\/thead>\n
      Bentuk<\/b><\/span><\/td>\nSama<\/span><\/td>\nSama<\/span><\/td>\n<\/tr>\n
      Ukuran<\/b><\/span><\/td>\nSama persis<\/span><\/td>\nBerbeda (Proporsional)<\/span><\/td>\n<\/tr>\n
      Perbandingan Sisi<\/b><\/span><\/td>\n1<\/span>:<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/span><\/td>\nk<\/span>:<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u00a0(Konstan)<\/span><\/td>\n<\/tr>\n
      Sudut<\/b><\/span><\/td>\nSama besar<\/span><\/td>\nSama besar<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
      <\/div>\n<\/div>\n<\/div>\n<\/div>\n
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      Syarat-Syarat Khusus pada Segitiga<\/h2>\n

      Segitiga adalah objek yang paling sering muncul dalam soal Kekongruenan dan Kesebangunan Bangun Datar<\/b>. Berikut adalah syarat yang harus dipenuhi:<\/p>\n

      1. Syarat Kekongruenan Segitiga<\/h3>\n

      Dua segitiga dikatakan kongruen jika memenuhi salah satu kriteria:<\/p>\n

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        Sisi-Sisi-Sisi (SSS):<\/b> Ketiga pasang sisi sama panjang.<\/p>\n<\/li>\n

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        Sisi-Sudut-Sisi (SAS):<\/b> Dua sisi sama panjang dan sudut yang diapitnya sama besar.<\/p>\n<\/li>\n

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        Sudut-Sisi-Sudut (ASA):<\/b> Dua sudut sama besar dan sisi di antaranya sama panjang.<\/p>\n<\/li>\n<\/ul>\n

        2. Syarat Kesebangunan Segitiga<\/h3>\n

        Dua segitiga dikatakan sebangun hanya dengan syarat yang lebih ringan:<\/p>\n

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          Sudut-Sudut (AA):<\/b> Dua sudut yang bersesuaian sama besar (otomatis sudut ketiga juga sama).<\/p>\n<\/li>\n

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          Sisi-Sisi-Sisi (SSS):<\/b> Perbandingan sisi-sisi yang bersesuaian nilainya sama.<\/p>\n<\/li>\n<\/ul>\n

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          Rumus “Sakti” Segitiga Siku-Siku dengan Garis Tinggi<\/h2>\n

          Salah satu tipe soal TKA yang paling menantang adalah segitiga siku-siku yang ditarik garis tinggi ke sisi miringnya. Di sini, terdapat tiga segitiga yang saling sebangun.<\/p>\n

          Gunakan rumus cepat berikut untuk menghitung sisi-sisinya:<\/p>\n

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          1. \n

            Mencari Garis Tinggi:<\/b> A<\/span>D<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>B<\/span>D<\/span>\u00d7<\/span><\/span>D<\/span>C<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

          2. \n

            Mencari Sisi Tegak Kiri:<\/b> A<\/span>B<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>B<\/span>D<\/span>\u00d7<\/span><\/span>BC<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

          3. \n

            Mencari Sisi Tegak Kanan:<\/b> A<\/span>C<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>C<\/span>D<\/span>\u00d7<\/span><\/span>CB<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n

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            Strategi Menyelesaikan Soal TKA<\/h2>\n

            Agar tidak terjebak saat ujian, ikuti langkah sistematis berikut:<\/p>\n

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            1. \n

              Identifikasi Hubungan:<\/b> Lihat apakah bangun tersebut \u2245<\/span><\/span><\/span><\/span><\/span> atau \u223c<\/span><\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n

            2. \n

              Perhatikan Notasi:<\/b> Urutan huruf pada \u25b3<\/span>A<\/span>BC<\/span>\u223c<\/span><\/span>\u25b3<\/span>D<\/span>EF<\/span><\/span><\/span><\/span><\/span> menunjukkan sisi mana yang bersesuaian (misal: A<\/span>B<\/span><\/span><\/span><\/span><\/span> pasangannya D<\/span>E<\/span><\/span><\/span><\/span><\/span>).<\/p>\n<\/li>\n

            3. \n

              Gunakan Faktor Skala (k<\/span><\/span><\/span><\/span><\/span>):<\/b> Untuk kesebangunan, cari perbandingan sisi yang sudah diketahui angkanya.<\/p>\n

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              a<\/span>2<\/span><\/span>\u200b<\/span><\/span><\/span>a<\/span>1<\/span><\/span>\u200b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>b<\/span>2<\/span><\/span>\u200b<\/span><\/span><\/span>b<\/span>1<\/span><\/span>\u200b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>k<\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<\/li>\n
            4. \n

              Cek Kewajaran:<\/b> Pada kesebangunan, jika bangun diperbesar, pastikan hasil hitunganmu memang lebih besar dari sisi asalnya.<\/p>\n<\/li>\n<\/ol>\n

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              Contoh Soal Kekongruenan dan Kesebangunan Bangun Datar dan Pembahasannya<\/h2>\n

              Soal 1: Mencari Sisi Tersembunyi<\/b> Diketahui \u25b3<\/span>A<\/span>BC<\/span>\u223c<\/span><\/span>\u25b3<\/span>D<\/span>EF<\/span><\/span><\/span><\/span><\/span>. Jika A<\/span>B<\/span>=<\/span><\/span>6<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>, D<\/span>E<\/span>=<\/span><\/span>9<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>, dan BC<\/span>=<\/span><\/span>8<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>, berapakah panjang EF<\/span><\/span><\/span><\/span><\/span>?<\/p>\n

              Pembahasan:<\/b><\/p>\n

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                Faktor Skala (k<\/span><\/span><\/span><\/span><\/span>) = A<\/span>B<\/span><\/span><\/span><\/span>D<\/span>E<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>6<\/span><\/span><\/span>9<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>1<\/span>,<\/span>5<\/span><\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n

              • \n

                Maka, EF<\/span>=<\/span><\/span>BC<\/span>\u00d7<\/span><\/span>k<\/span>=<\/span><\/span>8<\/span>\u00d7<\/span><\/span>1<\/span>,<\/span>5<\/span>=<\/span><\/span>12<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n<\/ul>\n

                Soal 2: Teorema Garis Tinggi<\/b> Pada segitiga siku-siku A<\/span>BC<\/span><\/span><\/span><\/span><\/span> (siku-siku di A<\/span><\/span><\/span><\/span><\/span>), ditarik garis tinggi A<\/span>D<\/span><\/span><\/span><\/span><\/span>. Jika B<\/span>D<\/span>=<\/span><\/span>9<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span> dan D<\/span>C<\/span>=<\/span><\/span>16<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>, hitunglah panjang A<\/span>D<\/span><\/span><\/span><\/span><\/span>.<\/p>\n

                Pembahasan:<\/b><\/p>\n

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                  Gunakan rumus: A<\/span>D<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>B<\/span>D<\/span>\u00d7<\/span><\/span>D<\/span>C<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

                • \n

                  A<\/span>D<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>9<\/span>\u00d7<\/span><\/span>16<\/span>=<\/span><\/span>144<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

                • \n

                  A<\/span>D<\/span>=<\/span><\/span>144<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span>=<\/span><\/span>12<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n<\/ul>\n

                  Kesalahan Umum yang Harus Dihindari<\/h2>\n
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                    Tertukar Sisi Bersesuaian:<\/b> Selalu gambar ulang bangun secara terpisah dengan posisi yang searah untuk memudahkan melihat pasangan sisinya.<\/p>\n<\/li>\n

                  • \n

                    Salah Hitung Skala:<\/b> Pastikan perbandingannya konsisten (Atas\/Bawah = Atas\/Bawah).<\/p>\n<\/li>\n

                  • \n

                    Mengabaikan Sudut:<\/b> Ingat, meski ukurannya berbeda, sudut pada bangun yang sebangun tetap sama besar<\/b>. Jangan dikalikan dengan faktor skala!<\/p>\n<\/li>\n<\/ul>\n

                    Latihan Mandiri<\/h2>\n

                    Coba kerjakan soal berikut untuk menguji pemahamanmu:<\/p>\n

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                    1. \n

                      Sebuah foto berukuran 8<\/span>\u00a0cm<\/span><\/span>\u00d7<\/span><\/span>6<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span> dipasang pada bingkai yang sebangun. Jika lebar bingkai 12<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>, berapa panjang bingkai tersebut?<\/p>\n<\/li>\n

                    2. \n

                      Jika \u25b3<\/span>PQR<\/span>\u2245<\/span><\/span>\u25b3<\/span>ST<\/span>U<\/span><\/span><\/span><\/span><\/span> dan panjang PQ<\/span>=<\/span><\/span>10<\/span>\u00a0cm<\/span><\/span><\/span><\/span><\/span><\/span>, berapakah panjang ST<\/span><\/span><\/span><\/span><\/span>?<\/p>\n<\/li>\n<\/ol>\n

                      Menguasai Kekongruenan dan Kesebangunan Bangun Datar<\/b> bukan hanya tentang menghafal rumus, tapi tentang ketelitian melihat pola. Dengan latihan rutin, Anda akan mampu mengenali “kesebangunan tersembunyi” dalam soal-soal TKA yang kompleks sekalipun. Selamat belajar!<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

                      Bimbel Rumah Pintar – Kekongruenan dan Kesebangunan Bangun Datar adalah kunci untuk menaklukkan soal-soal geometri yang sering muncul dalam ujian Asesmen TKA Matematika SMP. Banyak siswa merasa kesulitan membedakan keduanya, padahal dengan memahami prinsip perbandingan dan kesamaan, soal yang terlihat […]<\/p>\n","protected":false},"author":1,"featured_media":2146,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[36],"tags":[207],"class_list":["post-2144","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-konsep-dan-pelajaran","tag-tka-matematika-smp"],"_links":{"self":[{"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/posts\/2144","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/comments?post=2144"}],"version-history":[{"count":1,"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/posts\/2144\/revisions"}],"predecessor-version":[{"id":2148,"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/posts\/2144\/revisions\/2148"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/media\/2146"}],"wp:attachment":[{"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/media?parent=2144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/categories?post=2144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rumahpintar.co.id\/blog\/wp-json\/wp\/v2\/tags?post=2144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}