個別指導塾スタンダードのお役立ち情報
三角形の「合同条件」とは!?直角三角形の2つも覚えて証明問題を攻略しよう!!
中学校の数学は暗記で差がつきます。問題にはパターンがあり、新しく出てくる公式や定理などと合わせて覚えてないと解けない(回答するのに時間がかかる)場合が多いです。
とくに照明問題では基本事項の暗記をできているかが出来・不出来に大きく関わります。今回は三角形の合同条件について覚えておきたい要点をまとめました。しっかり頭に入っているか確認してみてください。
三角形の合同とは大きさも形も同じ図形同士の関係性
![三角形の合同とは大きさも形も同じ図形同士の関係性](data:image/webp;base64,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合同とは、形や大きさが全く同じ図形同士の関係性を表す言葉です。向きや位置の関係で違う図形のように見えたとしても、紙で図形2つを切り出してみたら重なり合います。
「≡」の記号を使って合同な三角形同士を示します。上の画像にある2つの三角形であれば「△ABC≡△DEF」と書くと覚えてください。このとき“対応する”頂点の並びと同じ順番で書くのも覚えましょう。上の画像で表せば、△ABC≡△FEDでは対応する点の順番になっていないため間違いで、△ABC≡△DEFと書くのが正解です。
また「対応する」とは、図形で同じ位置にくる点や辺のペアの関係を示す際に使われる表現です。合わせて覚えておきましょう。
3つある三角形の合同条件とは
![3つある三角形の合同条件とは](data:image/webp;base64,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)
合同な三角形同士には一定の条件が3つ当てはまります。決まり文句としてそのまま書くようにしてください。
●3組の辺がそれぞれ等しい
※上の三角形ABCと三角形DEFでいえばAB=DE、BC=EF、CA=FD
●2組の辺とその間の角がそれぞれ等しい
※上の三角形ABCと三角形DEFでいえばAB=DE、BC=EF、∠ABC=∠DEF
●1組の辺とその両端の角がそれぞれ等しい
※上の三角形ABCと三角形DEFでいえばAC=DF、∠ACB=∠DFE、∠BAC=∠EDF)
三角形の合同条件で間違いやすいポイント
![三角形の合同条件で間違いやすいポイント](data:image/webp;base64,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「対応する頂点を同じ順番で書く」と「合同条件は決まり文句としてそのまま書く」を合同条件に関する問題での注意点として紹介しました。加えて、相似と混同する場合があるためしっかり区別しましょう。形も大きさも同じ関係を表す合同に対して、相似とは形は同じだが大きさが違う図形同士の関係を表す言葉です。
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【△ABC∽△DEFになる相似条件】
■3組の辺の比がすべて等しい
※上の三角形ABCと三角形DEFでいえばAC:DF=CB:FE= BA:ED
■2組の辺の比とその間の角がそれぞれ等しい
※上の三角形ABCと三角形DEFでいえばAB:DE=BC:EF、∠ABC=∠DEF)
■2つの角が等しい
※上の三角形ABCと三角形DEFでいえば∠ABC=∠DEF、∠ACB=∠DFE)
-------------------------------
相似の条件を3つ上にまとめましたが、合同条件と似ていて混同するかもしれません。「合同=形・大きさともに同じ」と「相似=形が同じだが大きさは違う」のそもそもの違いを理解して、合同条件や記号の書き間違いに注意しましょう。
三角形の合同条件を使う問題にチャレンジ!
![三角形の合同条件を使う問題にチャレンジ!](data:image/webp;base64,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)
基本を覚えたら、練習問題に挑戦しましょう。合同条件を一言一句正確に書くのはもちろん、与えられた問題の文章や図形からどの合同条件に導けばいいのかを意識して問題を解いてみてください。
■基礎問題
【1】下の図で、2つの三角形は合同です。このとき次の問いに答えなさい。
![三角形の合同条件を使う問題にチャレンジ!](data:image/webp;base64,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)
(1)この2つの三角形が合同であることを、記号≡を使って表しなさい。
(2)辺DEの長さを求めなさい。
(3) ∠Dの大きさを求めなさい。
【2】任意の△ABCと△DEFにおいて、次の条件にそれぞれどのような条件を加えると△ABC≡△DEFになりますか。
(1)AB=DE、AC=DF →→ ___ または ___
(2)BC=EF、∠C=∠F →→ ___ または ___
■応用問題
【3】下の図で、線分ABとCDがおたがいの中点Oで交わっています。この図で合同な三角形の組を記号≡を使って表しなさい。またそのとき使った合同条件をいいなさい。
![三角形の合同条件を使う問題にチャレンジ!](data:image/webp;base64,UklGRioZAABXRUJQVlA4WAoAAAAoAAAAbwIAXgEASUNDUOABAAAAAAHgbGNtcwQgAABtbnRyUkdCIFhZWiAH4gADABQACQAOAB1hY3NwTVNGVAAAAABzYXdzY3RybAAAAAAAAAAAAAAAAAAA9tYAAQAAAADTLWhhbmR56b9WWj4BtoMjhVVG90+qAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAApkZXNjAAAA/AAAACRjcHJ0AAABIAAAACJ3dHB0AAABRAAAABRjaGFkAAABWAAAACxyWFlaAAABhAAAABRnWFlaAAABmAAAABRiWFlaAAABrAAAABRyVFJDAAABwAAAACBnVFJDAAABwAAAACBiVFJDAAABwAAAACBtbHVjAAAAAAAAAAEAAAAMZW5VUwAAAAgAAAAcAHMAUgBHAEJtbHVjAAAAAAAAAAEAAAAMZW5VUwAAAAYAAAAcAEMAQwAwAABYWVogAAAAAAAA9tYAAQAAAADTLXNmMzIAAAAAAAEMPwAABd3///MmAAAHkAAA/ZL///uh///9ogAAA9wAAMBxWFlaIAAAAAAAAG+gAAA48gAAA49YWVogAAAAAAAAYpYAALeJAAAY2lhZWiAAAAAAAAAkoAAAD4UAALbEcGFyYQAAAAAAAwAAAAJmaQAA8qcAAA1ZAAAT0AAACltWUDggYhYAALB6AJ0BKnACXwE+bTaYSSQjIqEhtBjYgA2JZ278bBnI6ZYBi/swk0zi26vQV5Z3Qc8w3mv/8T1r/7//C+wB//+py/sn/S9hf+M/8nrbf7F/2+D/6U/pd/mOyP/Sf1bvLfMf6f+x/uP6qX7T4HPL/6L/cf0f1H/j33j/Pf3n8Y/Yr9ZPEv5U6gv5D/Rf9R+ZP9T4UEAH1071L089kvrN+ofwAfrb/tf6953Pgw0AP5n/a/179gzOL9N/+73Ff10/6Xq+///3HftL////P8KX7ef/8OXifE+J8T4nxPifE+J8T4nxPifE+J8T4nxPifE+J8S+jb0PMqThE4qs6IGYwxhjDGGMMYYwxhjDCyKz6eAJUZtto+yCeGMMYYwxhjDGGMMYYwxhhbLswZsKikdJ17p4dojUQMxhjDGGMMYYwxhjDC4F2vRQ6DAYnAk3qyzyyTEmJMSYkxJiTEmJMSYeRSQOWRawDmpTucHLHlxPifE+J8S+AJ+3CJmlKCTifE+JfUNusnWrBV6ZOuumLAK0TH2nG2NsbY2xtfKntEohftWbfNZ56HERhGBI29GtuCDFfmlcywJ3qFK0el8xF+16foXWKj57VAzGGMMYYwxdmK5lWpU3BcGiD5l4zJV2fEqk6PME8E1iinWApNL+GKgxIIWq1zY+wg1rNdKx1QMxhjDGGMMYTzlwaLAKfqfA7ruF/x2lckmoNzne1JkUKGiMwhge2OASyMd+dPNCQ4Gp0s/8188jhYcCrWSYkxJiTEmHnNiyOPRa/CO4PmMhMQ16FhJmz1SVtXuMDwgy5DESd8ScT4nxPifE+EPO6W7JgjTKWyLM0hmdC1cfMnHRu1IKb0Chb74rhqSCj0jdsmFWIIB4nxPifE+J6J88xXJWrJuDERq0fekwdP+q08XVMkxhwrgDu7pcvBHKxlLXgVaVkmJMSYkxJiQ9VdfkSvNn1o9QJBvWWIT3nhvKPLF2QISf8BuXUXwb5wwueYZj+NTam1NqbU2ptMFR+v0HyjjJF9SUXFjTKdzRLS0QPE+rB4FPmhxJGbhzu4u8/RJiTEmJMSXTFsLIJmrD2wCERzJNbTY2xtja+CiTfnR1KABJW1jxpfE+J8T4nxMDycaFGiMibkeL2KzhMVwDxPifE+EzztBIiREiJEQfnWg9HiJPkcldk6TifE+J8T4nxPifE+J8Tz+8twDdHiq7FtvpmEc/IC2gkRIiREiJESIkRIiREh/SR1ATxOZWqo6s6JmCNRAzGGMMYYwxhjDGGMJuhWPyISkxJiTEmJMSYkxJiTEmJMSYkxJiTEmJMSYkxJiTEmJDAAD+/9k0AAACc+if+kmTL3ZdPiJ7ix/pUwpPVnVzGH1TeccrbMRAt6J/H2IenSXI/AB+N7HwnFbYv+1xacoXeOGEYjYv8imUzgA2h09ZvE9unYLvYy9eAADpq6PLGs6v4oH5s2TfpZUFByyKJj3s2SP0+BbqXaC/ff0jU5fJ1nBZdUgepoov1WeWrV8jrw72I13itrx5FHLzUMReG51LpEisXwTJEzUZd/Mf+60/6UL34jfumGo8zbFH9Ef+b1IuDTuoUgmwM3Ww3zYhwYUG5dWwme2o8bxQY16CiKIf/rw8DNx0AByx9c/Vc1rksswLK0b2ntGQZhdJUZ/366AUuR8BtChjT+Jwb/Gi4gJ03UEBoNArvV+YFAUqSttm/2skZepn5N9AlZCX6PMjbOEtShe7Cg6fNIob7NaEFBnX1mBP3KBTBIfhZ8kWV9Hgc6D3KUM4os+svPrmGROd4fOkE13wUxigCSmkMRsRH3RHn8rDoW7nZjv+i+GE8H2Q53xD95jXUNIPPbYnjZcD6IE7fzeWJ98ZgZJa6TU/wTxPBWQy0hrccY0Na/IKO7WwoIQdAjZWjqb2CRRSz4LHBaQPJkeRXoRf8EZF4uW/vod9oqc304RdhD7cdNdxFViDrzz+HHK8U75trReebEWI5/n3QGrGAAaldSpY1nXb8E3s3ANWqDl5R7CSGVJCfSOhrm7kIy1JLJYV1GohS4/+Pt9DXXc2Ti6E4Unca+ay7yRT0s+hVxCsCnQ6mVFH4+EDir/bS6b7i5NsXFdmvKqquDmyr//cn3p/1lUFROjdqFAxvhX9O5gbSculD6c8qMxO5CwRaTohHaVitV7npugrnu42LMYnA8EprTNtqKuuWMzbcb+nWe0VgqaOLS9f/8jJvzVYVhWkV6pdsuzmrpB5XfspHA2fX4jM2S4wTpg1k4gRgsGc5+mCsoqdnLkF6tNPxXUQt/3svX9nHbI5wi8lz2RfeyZitdw+4NipJ6Nw2FqJyeWNFO+kGIueQNUO2OpsTLQ21hpLjn24Ag2rZBR3923ElQ+yZvdpJI+Lc7FbJRvYOiONcl8lICrRQgh60LC3DWVgJjOrgtpNTS7QdTA+wERdWZm+AalbspjiJsRqIaNScB8TchXJkPHAZtdB1ZqdndI7MktOD8vQFdDyua9Hkd9L4EUWS6AGXCREgrRAcGpUnHvgYuzfZpDnYB3hK9Dv/wSGa+WMvMfaSILd4Tn71E6GouImoC56nQ7nDPSs2Ey0dy8i2ZvnVjPxw8N4+is2uTgdJAU77d51m+tOn4C7xj1RD8FSfEfJ042ubj7Ex+sFGAWxUjf1l1NiuZ9yn69+FqheIKU6tjjw9h9xYd5kwT5RVzBUxve/0L4/rgbb3qdxari7r3v9hxcvO25IR4i8HWZdND5sVRjFJboy7ikAx3ej5sbjiGU/AQ308hcaQmE+aUlN7VmpDlCCmm7ybW9pk/M/scKkmbcTb4P0LGWtAYA40XSs/apf3GM4Rp0wst0fd7bq6RYF0JZ0LdeEqiIoznXGUF9bttFagrPjyyzhIGaP2WKKdz7DSs6wdBZCVzueASlHaZJu4g2UZ7Q1QZwVC7rpTGZ5wp92qBiEJ6zO6AI6q4YP/hHPXb2bC9hjPuvbYPa2/aKzH3AG6DU5RjT5I4195NeM4bwewWFiFBvl5i6/iOrUPSmbJDd0JFds1teso744kke2x56fCuTmRJ/WT8w4nnTb9y/OlE+CJa6wrxr8fwDh63GFsK8ouDvVeIkaNndrWCldd2e6ifE4mZeiroggPal+4guidpOJcGMug9XEPiSHOrLiPONsaF7GEoi+Iovmg6VKMlPGnrBpDrZ2bCwcIr+9eqQ48Ug3kb3/LDiM6k0EGkKR6MovnEVpoyNhuG4X3q4LwEm6esAR94oZ+PlDjBL67vM1ELWZvM09qen+qUqN6oWHgs9SKi65c8d/uKXFg38rEj1ksOdaAVlkgaQaP7zD1CZuz2hrCYcaAufbfcd6n7Fkxd47wf3EqMRV3LBmJEZIMY2k9XDqL+2Pw8/mtlwf5g8edDbUAsGSDwVLwDxrEnscrXHoDdqnuYVc/zMheXG3oRFMHPr7aqu5HeP7JauOFJalIi8a8YyZGx+MeJMvYMo0WRBcqlDz4Nqb0prd36GWCIwa89jLNo+etWGufWGHrLtV7FE5YiaoQ9PsUi3s4c79WbOqMEUDP6w2H5mtOvJjUVx538YlPjKeXeXIwFhvFr019VBGI4mmsynJOrAOeCGX15rWUq/fY0Qhx/J+zrUUKBqnbODhCSKUqOJWAhbicEXXa9O0djY8RZQGTWk3535LpqQk0um9UT6jPPn4cWGeiFNZz4//s8aPoGSNPdrINBRgoNAN3loereeWy1C0sKXVrgDCGFtJDKKZ/1QqOj8AB1L6uN+z9bLeU3Kp2FAtMtSD2823uHmRZ9c8BB0rPW+FcsaZe8mu089+4vLx+xNntnsRPV8areGww8Wes1M3stjlOj7ilGIkBKag33IFKHgPNbfTXu7GwlLcH+bIzIVU36xiFCmroTRh5+1djT93J9eDugwXX45vCGnnGEQ8vrmphYv6qn9yuBajan746RWf9ruvhS1CWvHssjMMEpdfJqNlkvE0OjFM1BXUBymp3PaRd64AoVfRjI9Skfc4BdhnZ6wvBm1hUD5rVa+/8UE2H/82UzcAzAUUMuBylVDG9rYa00IhGRU6MYvJMYXv8FTLJhmIBMuLlG+pzVsPydLA3LGuMW08KQgdx6+lbWHtuRtIrIAy9ZQawCFahMH3JGPN+x3sCEnHWV4d6QOZyXjz2mqlme1FD1j0Cpb/YUXX8+MyKKGzlLjrRd3j2mHIIlr4ouqkWQgYOSI3U6ut+FIfroD0EE8ezSU4N1/XTN/FHCmuLlY3/+rHQRQaZAUd2XZXsv4xWnRcyyQIYbrcrzxyeyyjhHW0TdPAR/Jan7hYy5uqc8mIcfeAlUKACqmhNyjXWtqBIvI06gUV1kPYv7XAt8zgdvEywdQJAT/kQ95Nb5og0zdHyHjP3YmhzTcDHO4AVHxSY0i+qfKZp3kl/HaHm84mK+L5tOo7DlnkkotYk6hJgUWmSMbMbUHQp7yiC4ATd3wlTolifmO7fXo2bmEwDbBHpKtIWQ8z2dSStEmnIdqCvS6rvw1KWDnlwAUswIlAp9aPDrEyqHxK0IHtXhXCylE9Xnzd0yJbGOptTNzXHCP0yoapo/UZK/071Upy6PFKQEN7bWVWfYtj9pXDvZbysJrjK8/sxh2aK4nGtMLoRD5s+CURJvCAD+lkbHxYJSWWTURrxr/vLq7Rby2CC2EAE8HX/zZbsq+LHz4IKEPtnKK86SQm4Jo8kSTg6M6ARo4q0OMBeVzfVQbDLD/k0ZJhrG5wHfYksVN8g4FI1UfDQNKeywakb9Vgi3CGyPgMT+Bx/D6N/vxlNKHM0E4DQ7WoMXLrt6hxPlPOlJEvEfJ7tAhbTyJ7bYjTJT4uQUQN/NawiYyH1AJKFrvEVSLQV7G5VFzt8OCduksshfgK8T7JJIaKBccnqQ/6ynPbYE5799nDbPheSGd1/vq5z7u9HjY7yGupE/CL/uHkCsNu+fqFxkyaCYx07QyxL11TuYzCXGTh5jNqQWGCMOe7Bzi+wbfBEeE/G7hov67qC5qhOdJ8/jfANWLzyXbwEmH1ZJSm3F8vpfWey2Pte1FQSsXeHQ92hnayAopOWaX5ImINHCSLF7YIlanXB9DcGyCuY6x/uDBosJHj98D1qSuxHjFsvib2KjMraRXY+Qd6ulOmmeej0wzuJhT8W6TQHeZjAwFdfu9JFWN1wL5ljJmmcPpFfrYN4+LCZSkbch5KeXzmK0NvHX6QjMQxdhv/igmdxTFmFMl4IBnTRL0LFN5kolEpHbo+TIMhE+OhEkSq4I3+QmTL0e3X4j+uTAlO7trmGhU4ZogA1xfRYoNSZ+DDvGw1CCO9rZBDJ+kn+9HOMhQA4eeHAWgmezi/c8mpsyHFdsa49NGPFq3+6aqaIvuP14l/fjcrknrCbeTkUw+6l/MDwrYviKnzC/Vkor0Q6n4uQdEanPDOHL0+AICJeJaCGMFAnEmPv34fcIIA2b2vY0cqQQEw4Bn/tnYks3WhkexRR2EOHE1OuRNPKpAr29IW+wUVhmizaf4paW8ToWVtwK5rAcaaCgeJ4EcsdxT12oXxN5WmSFzyiMaydkE++hmOzVD6KvZtIX60JTzMiDjtXv3lunrw7gnGPWtxpB4RYa+MkwxZjuVONr6ZgOyJAeOfQht8UjTcGCOq5IQAAS+IHVIuXAihrjhsmZim/vp1/RzlMLXcVsWTEC+FqCXQ2yKHk3+nyMcMT0E3Xgzc0EeoZ5a/yx+Mueh5S1lWl9a9JtxY+zqjvqwS0s89BBZBI3SrOrSq/M4HbxMsBhwlmnNSIN/RzCmLDnGvZE6HF/AEQkrydEo+K3xC6uKZXI+M7PulzJujkQ37vbi+cG9USb1W6uL6mKrqsEW4FwjxD3szHF79Fv98LZvfSmSMqJmB3hAUld/9MNkyUzkPQKcQsdtzBPWbs7EeCnm5voIGyXAktIe3gG1SYZJwt4IY8zMCWRt+2PKVto79FqTYDQ9Koxyrjr07U+vAAwIv/D+AQ5S9lh9XZS1h4e8sDPZyWIirKHAP00NNhvWBgvLWTANF3J+IxqVkTv661GrqfZ2NOoxNmWyHgxQ/+g2vB2qCaHSCFcOgdOb9fjJJqOUHYSXd+v/hrwTaJQOB3Vzj8arq63wzLQuILUoZ5DJkQeV8j1X15pqwh0dK6ZDfBtzEYzG9NahGtsFmeKaulEuvo7eScJfGS78+Kuv86Bf/QBjRaqK7Gr6dcwz+JN0TRWKdfOz6badE5ayEHLhKL/RaK/Oz109Fm2dclqVaCh25HKYTtHY2PEvmhvp0BCr93C8ljRlJ27bU08WW2eRdxoVc/fimnyrLdrXji9xjh07ZlyWtn8ZPxeQUGjkq8UfgEa6lPT/YLy8xEu4f07JHXuMxwvAT1o6lqXKnyqniayRnHcVH2Np75rC7QwjuGbjg7uExxcKTU4Xrt/cd7Q3r0Agi2gMmvZyWZGOQAd9kvYhz/3+n2+WKl1FtVuWiXxxY21zlLRStHY2ZqPmSsyLVJbD/ELT8TWMXMKVP2Oah7KeqnN/BcCIXNcgnZ3dls4HVhoySky4BgmyUq0oTBnQhWV+n2x+0t2XGgYxAhbTKAWJnt/rCmRVFImOLHy1NaxTKzTbJJF/jBX+vs/n+Kds3tNFpEOSmLTj8OGc23/G6Lky9tcKZFq6b9VapdlAYgv/cE8h0o/XcWuhqQlDMlplzPRVN354+5CMtSUEwCRpDaqxNXigf3AvhubJxdCidkHouE14RQ0s+hVyrP2a7aMBF5VMkxVVPTmqaHbtl2lK8ge53Btsie4kd1LvnbER9d1MLjIAQH47LLUJzWQwl2xP2sOc2z866K+p3kE/75fKfWVRMp/nSfPJhKXZFn2QxDRRsjJy2hfGMtouoYLEPkOyUdNc1XShG1CP683ZS3XFEeGKyGlzd+Lza3qkM9rN7tYzZBMzxJd09GnwrEenM5ILwh2ALG1f3gr0FEjektiQavNt8tbLojcTaHzCUhtAwNKiuo70AwswP8xLo5E+dkX32ABAjbZFu9BlcoHe7Q7N/OK4O7ckdj1JnpU8Fdt63KYzKvmjyH7f6qQM7RZZdBGJROj067pOe2wJz9ZlgkzBYyFdh6dwYcEk7ftzhLVQ0NwbpLxNJkU96tSPa7ZAsEYicAAPc3Gd/OKUokq1w4FpuxAAsVe/BvBB0m3fl+oXzG8fChxG1pXiLyuHSujzvFpIZR2WyffJK0RTFkXRCZyJ2jaJJdpn7WKVHS34GJlfnGkKlbyLgSttiOmc2er06bFA+CMCdKswJTKkzegu//2ipPuJz9n55F7+ad5/MjWWnlrAWm+PFd2m8AdbwluLJJOdomF1b8AGp+wBIt2bWPhARhfx3Tcx1mRPhWIl0NygVBNVZL8yv/a/9n29Q1nvulFbweJ8Xl287TvMiz3Qy3O3KvdzoxaJjtRuSczsRqbD/Kwu2WMGDMQzSEScV5LemaGoPNkGVhiRWcB1/WwlwUesiSc3HMLfgTHt9sOviXJ5gV2C5jSPwAtPorf/rxJYxTX0PNH/jGK+9Hw023qbbt9lbl4yX597UiY2CaEROA+lQhX6qi5TvDE6I9INf7Rk7JUbDChEiPfpkKLu3q/rStzsn5ErhBX2PHhrtsasgfxrB/NAAACRhCuJBulisUlJRwX+BW0oeJwdXzEwvrVO+/QwAAAAAAEVYSUa6AAAARXhpZgAASUkqAAgAAAAGABIBAwABAAAAAQAAABoBBQABAAAAVgAAABsBBQABAAAAXgAAACgBAwABAAAAAgAAABMCAwABAAAAAQAAAGmHBAABAAAAZgAAAAAAAABIAAAAAQAAAEgAAAABAAAABgAAkAcABAAAADAyMTABkQcABAAAAAECAwAAoAcABAAAADAxMDABoAMAAQAAAP//AAACoAQAAQAAAHACAAADoAQAAQAAAF8BAAAAAAAA)
(1)三角形の組
(2)合同条件
【4】次の△ABCと△DEFは、かならず合同であるといえますか。
(1)等しい2辺の長さが8cmになるようにかいた二等辺三角形ABCと二等辺三角形DEF
(2)1辺の長さが10cmになるようにかいた正三角形ABCと正三角形DEF
(3)3つの内角が90°・20°・70°になるようにかいた直角三角形ABCと直角三角形DEF
直角三角形の合同条件は2つ
![直角三角形の合同条件は2つ](data:image/webp;base64,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三角形のなかでも直角三角形だけに当てはまる合同条件があります。直角のサインを見つけたら、下の2つの合同条件が使えないか確認するようにしましょう。
●斜辺と1つの鋭角がそれぞれ等しい
※上の三角形ABCと三角形DEFでいえばAB=DE、∠ABC=∠DEF
●斜辺と他の1辺がそれぞれ等しい
※上の三角形ABCと三角形DEFでいえばAB=DE、BC=EF
直角三角形の合同条件を使って問題を解いてみよう
![直角三角形の合同条件を使って問題を解いてみよう](data:image/webp;base64,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)
直角三角形の合同条件が出てくる問題にも挑戦しましょう。ほかの三角形の場合と同じく、合同条件の文言は一言一句間違えないように書くのを忘れないように注意してチャレンジしてみてください。
■基礎問題
【5】下の図の2つの直角三角形が合同になることを、次のように証明しました。[ア]〜[ウ]にあてはまるものを答えなさい。
![直角三角形の合同条件は2つ](data:image/webp;base64,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)
[証明]
△ABCと△DEFで、仮定より、AB=DE…① ∠B=∠E=60°…②
三角形の3つの内角の和は180°だから、∠A=∠D=180°―(60°+[ア])=[イ]…③
①②③から、[ウ]がそれぞれ等しいので、△ABC≡△DEF
【6】AB=ACの二等辺三角形ABCで、頂点Bから辺ACに垂線をひき、その交点をEとします。このとき、AD=AEになることを証明しなさい。
![直角三角形の合同条件は2つ](data:image/webp;base64,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)
■応用問題
【7】AB=ACの二等辺三角形ABCで、頂点Bを通り辺ABに垂直な直線と、頂点Cを通り辺ACに垂直な直線との交点をDとし、AとDを結びます。このとき∠ADB=∠ADCとなることを次のように証明しました。[ア]〜[オ]にあてはまるものを答えなさい。
![応用問題](data:image/webp;base64,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[証明]
△ABDと△[ア]で、仮定よりAB=[イ]…① ∠[ウ]=∠ACD=90°…②
ADは共通だからAD=[エ]…③
①②③から直角三角形の[オ]がそれぞれ等しいので△ABD≡△[ア]
合同な図形では対応する角は等しいので∠ADB=∠ADC
【8】AB=ACの二等辺三角形ABCで、底辺BCの中点Mから辺AB・ACに垂線をひき、その交点をそれぞれD・Eとします。このときMD=MEとなることを証明しなさい。
![直角三角形の合同条件は2つ](data:image/webp;base64,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演習をかさねて合同条件に関する問題のパターンを覚えよう
![演習をかさねて合同条件に関する問題のパターンを覚えよう](data:image/webp;base64,UklGRkAXAABXRUJQVlA4WAoAAAAoAAAAbwIAXgEASUNDUOABAAAAAAHgbGNtcwQgAABtbnRyUkdCIFhZWiAH4gADABQACQAOAB1hY3NwTVNGVAAAAABzYXdzY3RybAAAAAAAAAAAAAAAAAAA9tYAAQAAAADTLWhhbmR56b9WWj4BtoMjhVVG90+qAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAApkZXNjAAAA/AAAACRjcHJ0AAABIAAAACJ3dHB0AAABRAAAABRjaGFkAAABWAAAACxyWFlaAAABhAAAABRnWFlaAAABmAAAABRiWFlaAAABrAAAABRyVFJDAAABwAAAACBnVFJDAAABwAAAACBiVFJDAAABwAAAACBtbHVjAAAAAAAAAAEAAAAMZW5VUwAAAAgAAAAcAHMAUgBHAEJtbHVjAAAAAAAAAAEAAAAMZW5VUwAAAAYAAAAcAEMAQwAwAABYWVogAAAAAAAA9tYAAQAAAADTLXNmMzIAAAAAAAEMPwAABd3///MmAAAHkAAA/ZL///uh///9ogAAA9wAAMBxWFlaIAAAAAAAAG+gAAA48gAAA49YWVogAAAAAAAAYpYAALeJAAAY2lhZWiAAAAAAAAAkoAAAD4UAALbEcGFyYQAAAAAAAwAAAAJmaQAA8qcAAA1ZAAAT0AAACltWUDggeBQAADB7AJ0BKnACXwE+bTaZSSQjIqEh9LjYgA2JZ27hdgEIHHsjdCox/0v//6F/QR+/t5X/3+j/9Kv/w9QD/Xen/6iG8p/4npAP//wK/jn/G/1z9gO/L/ef1Dp9/VPtV602K/w/+F/Vr1R/j/3d/Y/mT+SHyN3n8AL8l/pX+X3h0AH51/bf+Z3RHoX4gH8v4SKgB+dv+J/Vfdd/n//h/if9P6L/q32Bv5z/dP+J6wH///83vG/bD///+74Pv3UD18n5Pyfk/J+T0uYj783DL3SdcOnIZ+T8n5Pyfk+CLAoeXMaQ1HEJ1w6chn5Pyfk/J+T8n5PyfCOi967tcMm2xkDfE2u3k/J+T8n5Pyfk/J+T8mDAqS8x6j52yMMZ7Ux7wy90nXDpyGfk/J+T8n4oIjVtvCMdrPf+mdicDM+ZuGXuk64dOQz8n5Pyfkv2J3ciZvxipiQlLma5jxEGJe6Trh05DPyfk/J+T8PTAjWt4tvFP9FDwx68Wt9T6RLAWAsBYCwFgLAWAsA8r5Ymj5Ef2OczANY/4Ma++BpyGfk/J+T8n5PyfiH5jNWJagHbyfh5HWzIC4wcEBn5Pyfk/J+T8n5PgICoedy/+yPKgqcywIRh0taQ3WSoKnNrt5Pyfk/ELwM9DuBY1+bXbyfoKk77vBCsmyGfk/J+T8n5PgO5U3zxq5JGGo5Rv2h7Nrt5PyfASGHKAmNyjbASHSH64DlqRL3SdcOnIUVm7oYpcOuindENBkNIJOrb2fk/J+T8RKP0I9hNEJjrFS2IhPJxoFgLAWAsBYCrQO59MYDWLM7CN4HBaKu3iVdSPa9vJ+T8mGsB0c8rP5lhXlwntrmoEsrph9kBn5Pyfk/J+HpgNI+FvbsdHQqIqz+H/OBCDNwy9Ylyrua5Z3g0g8pKwpIM1A2HTkM/J+T4FOHIzRfQSI1IzmtA/kUghWEdwz38GvFcE1glHFw1YOQotZEe4Ze6TrhwHtrHko4cUWu3kv19JPICKa6Iym0q5Tlp8eUPPL3RqvNwA+jaQAVIl7pOtWBUyDNhvDeT8nwP066BIb56RcY1YJyMoh4xIrSe53hvV1LT64AjjltyZuGXujUUhNfzVoRHZ9t1tgm5JJUr2mVewuh3FKTLYAc/dNv7ZMm7pMUrlyIAwXUeSwuh3JJKle0kVLQ1W0t1Z6dm0qNXDPyX9RFOj4c9w4Z/MX6UDDrucDJNxD2YRyzA5IPj0zSLjDHuIJy781Z8WZ2zBSuzNaZjiXhEYBJM3DL1YNedy90nXDpx0ewPUGoMLam3jjNpyGfk/eZFdWoAsBYw4CwFgLAWAsBYCwFgLAWAcAAA/v/GhAIlOCqQoQEgAAGLQTYVDzArYu5pGsE0fLsRPA6NYVNh9+gnn715Ev8INy8+8j/l0gTLwaAjgrOLPVsq+nmX3pWvtDp++uAfrY2A2jm+NQg9oP9Xdr6qoBszXXf3tv3QjJpO53+vF/6oOT64okkIbekWf0F3ZBoEluaOu8D1sQsAE9rjEJqnKg4gVdqRowkmSyUli08Cz16ToTzy3123/dOaCUbhrGyaJFvias39GLmJRwtjV/ZGK/gkvOYT7fr5jssh7PYVvn2pJtw67EY4WFCItziribuZI3cAAhhyrVko+Q9goODlQT+NtvKrzUyA/sQyMzojjTO20jZAhTzM7L5Sa/uJ3gXzMiIruizWHakjbGU7YNzsGPl85v5ojQqVVqhLNWqqtmmUOSN2hLPzHo5b++8fZ7S1muXwNFFXDwp3gv7FG70OcSeSJl4Qey5zu9pWLwb5yUFHcAA0R9yhcP1pxFTb16lzmtanG5ywo+t8vRuCINySkzlZjeruLKhLWwYEyJOz4lG0pXf4Fa26ZpEz5+RXZm5OGmxRaVxRAE0P+IyZ+VeH1spUlnRt4KIz27sQVpw8J98yZw7cFjceFcZo8JZE3fOKgJjNKqAULRCtmh3WAeuzmp3jAASrjsqBd2k4EmVu29biF0VNiUTsdkISVL4zjtqUyNv2uOASWGmeoTZv2rd8JD0pvQagqxpQkv9I2sHCwTX0xvQsF9UvYWi4+Pg2BHNYJ43/ZEAUrn2IJNJs4nYnvGEZqpPyBnHk09owR2jeooJnTj7teCQ44SBgAA7NtKTJO46BTpc8/gyMeIVMGv/D83NAxiCQWf8wom7ANde5Ylwo4eeAFbup+lyFUVGkhSD5BqkSTQ2Gvu1o0EgdCDeo+gos2PErAqnKtLF6gxfqcpezNeSOUOh99H3MNP6JZkQohunMNaXL6IeYQoW64kK5OzTstpF9Z0EseOWB/lodyF/QAH9inYO33/LbzwoPfrSW8+iywQd+MQQmaA7vJ5nolSyXdZ6kdaRU1DJw4y5Xcs/HuVFjDsO/eSIFI5ilVAGkV23LM2mvaMgN1kmOGj+s+0N13WWqTtODhVd52ND44T/88NSvo/XzJQgDkI0ecKDIWM9/jay+U4LbBPP3p4W9r3qAEkFXBGl+O9eSLE0D2xIMCRV02ZXWEVblki6fH0WxiAyF5dm8U7bj7Pn0jl0Q313EG8iwceQhCkw783cDNs/wNQqIau4UQyNuBocgTjdkIjN7KuEXKyW78S8RwhRZCThDfu9CuHz8rQKrSDV79boPzCuW0ynJOskFwtjSroXXSSya6ACTI3z0q3dqzQvJghL1qT4zsc8Bg6qsrCiQxRbMKUHsUwpNFQmYmPP8VAvB1LOK3egH+caTWSS/qr3WdKc+i4VgrkqtyV/JrRCP8chA3/7AGXIhyVnpT8nrPfL5AgmrEUkVOj7hfr3j3OFjP834aYY7oXHCOYs9rPxulAFAPldYRNdJ/b/TmKW6JtJ/OSb9aabePA+xSG++Tu3zboSVc9lZ8bp1/NwCMS5E85sErAfhSwoOBj0EZfrpCcTEv0cMaKDsurriRLGIqvNQtJUIC4OQQCgTuW8yBTHZlf+gPglGXprCoa+6NIqnfRxVLHOyCb6DhPq6inNGokImACd8r1UMX/46+SQvSgvkbwB/5D4rqMakGFE4h0B5grqfX0e+zdGGJ2V2PxLajpI1rnIRlvQ94UivFiwoNw4KGsPEWnKEBVTD6DRRXxnNFl+ElbRPt/ABp/3paNGgIfw9dqevulCJHbxMn4qpqYoEHMlBBIP4ov3BlvQKAueS48Y6nuEmXtNSUeXfByz035U8bk/F9JcI7GhPywfz1ye0gdZxO7T57k4jwRUcvYeQCqwkDbVjNTItPw9n/OyWm4L5cwik5/+tYlfeJiT9l2VJhqmIcGBlwiBO3Oi6KS+N+v41SwOK0CABM5nYuJQd73YAjZNdmP0u0s/+W9nOMsXLApYlJ25y8z3+zuYL/6j4rbp8o/twQUMU4P/XcNZ/EgfADW9CBQbLue97/gVn/derszgSXn0Qo+6MCN/0vd405Ot+Mg0LxXp8Qeh0ukJVUTGUFQxM6PbRRZeYIVDdvhEvZrMZq3p6FLHffox8qd2JimidVBUBfJwECa5T/ot+3W1Wfem/Pn7BADmSkB6EJGk3/xgvRjIdVnJkPCv+U6kx0HfSGiBtr2hTf6I4DDZvx3kMk4xEIBFo1AIx+2dBlZ4syktvwj/qDOSnHBpQU+TQD0lfQ4ia+0/XMCEv0Nsw9N0vKoHTcTORdw+RXnipBhyVUbqZhUrzgsvgfXDn8lT0JhCUm/3jagvwSX3a34ABL69JjQ6QP7p1cdyg8qEk7PqQzlCkNG5UHlMaTmPiDLABsSIqTRB+lt/HJO3cS9eqhkKzL7idfi5ypRu0nJ8qMTUrC8vodc2CY/iyObdLCLvsa10njvQ62Z9B5uhOdPp/KFMUmTQ0xFX93JTjhXLu00lRQiFd9EcAvlxBxKiS1KAJnKKUwfIhMDjQzHaytguEfdE0+cqrxZQDFQ8idmw2sPqunOoLym6reQUY6yrudKreqVx/8311JpQhvmQRwJP77OUdFhdWhj0vHPAS4RnfoEkS9ftbnADb5DDzlJR4+gkCXvh1gZucxI1kA5y4sOMEGLTxlHKe/vT7lTzK9L3JMPhM0lmfRZcT54hUqfroQCETW9ZOCFNCdOaR1nSIlXCi11GPwSvgUo1V5hk1w0DCGHmOjoYUX3AsZTsUUcPWjfFKZxlcBbNmnpq1mY62usXSVe/EacxKa+tjplhigqXg8njF8XRd3AtsnkjXbN/NGEGYognOqZtoAzNvOIXbMvZGHqIMCL9LVd7h4A64TH26gLQRccgk4ayuPRLBPadNIjs13KhOUehDCOjTmABiYxC1WeNlmJW9gPJjxeX1mmgezhXU7wZkitxrCODmkUDQyihNkyuKfEqN9cWb1rkgrHyQqx+QcUE9jgQf3pphUQKgVGrfL7hvNN7v6fASJPYKcxXUIVMLVIepYU5B8VRudWGxiaDQXgRmK+z2WMbvHmWHZ6dP40g5Su7ry8hfyGP1Ra2Zs1vGEiuj/UDQtITYSXJl4WaphCjlziHa3dojtDEf4sQmMEk03WyIptBeAa2JNRHeYY8xgX+4DYhYQZlBzPZjaF3Npe7WVUmZsmY26ODzyuP2EFzv5OG9L5ztwhIVD1KBeIkyXsgOhYa9ypArdsSDvpOTAv3DhRwVXIPQBqZGkrC+DTkhNolbVGEZseqx2mjtZ32vVlK5iwrTBQo2UFUlVjev0B+GOf6D//UcByHz4gnCpqxqb/LOJOt7Of+Z2pzZRg+xVtdZo+574aZ4FQIIcEF7JPAvWxqU6lxFeHG350Sfq/Z936eQl7xG/x/QHTScg+a8nWEY279VeWU3JTISDOqjuk/irqQWHQ6PxGj4h+5eh3S/iOojpruBz0miTPjSH+iUZjsYf5tumPyrah6PR0NfpZdYE4q09Y/Rl55YjJDfCrgOQc2cxoMQw4DkovzGznKgX7MBDSFbeubo0qtsn0XKscMe1Q8mNrGzwouMbrLsDS9XbOdHJHY3TDJkz+XLaSRYK8/FxpR6sjBlytSnA4th4Yky8dvw1bwSePmCcJxGcczHmQpc4EDqMsz9576aEU2Zjzk1w0QO/LFyyfEyUY4uTMPlcLtKXL7dvJgpAPQlqWRayvx8FQuZh8wWLQBJdfKGEEiuMQt1ttoxoCCeGaKVZxxA3nJLMcgnjQtoTbjyC8HUFZz8l4ZRcOl++wdLaiqUwiOU8ARtetME/QWOaJQdScDhWcvWta65ovH8a8ofFtEK0sWJW+Dk03F3OCcLRnHbOJKCTRHzFQribGCqHm8PL6dg3hG1LT/e8t6ectSoVx6RE94ZRLcjnIWigjXJBIPDlJR4+gjuKoVUKD3vbkNOjjX94IRNOJ+JxopV0FtIENPqrnbpz6/e7Oqud7vtGwjy/xG+5J6blBdtsrw78wJ5jvwN2azbqA6TXepHy58mPlAO8o1uSaC4rQ03tTzABpePOdR89FDRRd1JIm137g1L5ojFqzWj3DzU0+WxvUfjOyR0CJvIdtIOE+ZDJxP+CVBIcdqxhx9whVJ2v8q0D3mmOqb4tuPTbkwcRw/UQajRHk7PPQDj2bribDCX9DZkwGCq69B2BSQWKw9aNTmoOjIGhGTJQL0ZCHeX/xhkAYl2k7AXJABDtHMa3jVaoAd4kmsiRLzN6MlLucq6t/Pz0LdyCg0TlewT+aX9CWs4uBKWyNlkP8lVITXXAGWWnuCmwYdQSV8OnPi6cWM3l0LotC5xPAIU9AtH8ssxanIe2NFvbcy0fDV2tW7KTkqN2mjEXCQoz2a6mhZN/Nrnuk1txlSJOtzpjyGdui1GBM5PVyZIaNqnXGPULmphRP4cCjcRMIx/cFpWGerzukQO3056ucboXz42Aj9v6mUjkDo04UKry60vGMm0IzvivHAtAbrpum4CCb0pWlmUKNKKP4vfKc/7TAm/FYl/QgPm0Nu7cDEzPa9K2CUU/Zn204qAQ2PJ6/nbFzy/U4gFVafvcaHWXYBYs2ljS7o+KkrSFidsYceYNSDP14B+802ArPcatk0QfG4djRJZQLkWWY7jd5Ib6qSOy3ULZ9jKuMDaxFjnWDZ0W8Mq4zUIXkc9lFEXAE4PlaDgV+8rQDJzQuSWpBp5yItO+TrleaoZBtn0sB07fi6X7q4ItmDOnpmWPIbHRRaIPulmQebMuhZcQunFaOuYLReoP6YWfg10aYm+dOHbgRmnWcCy+FruZ8+OuCAo8SyMrjhE5/te8c4l2pLBnGbiVUCKw4sMPRQWst4SnGs0p0wxON3kAH50Bppcma8HGI/ZufsYDAMISYMwceRZcttUnnelpLicBtFXwlUgwDUY8+/rot7RJlU5XSXGLhcwjLAtUMcf15k1Q9IQomDiW7aUBhDU69PDUDiFWqZH6loDkqiuFu0/2/9PtXzPAn5a/yD21Erkvy4XL8Zrn3D/Wy3F7AHBnQ5LU821hFCGRr/8L59PIdBFWZfUslE28+YMD6P+ZFM43dixptubf3QklKhp/oW7Ab+fygHP6nl/4NDoX+ez02E90QIo7W/8bIot3ypBuH2AE/9N6qSAk+88dJR2kw1eue2NEYnAW/LTs3W9RRNAAARZngaWXf3GTIBJpU2yKZP5fbM7fO3jAx+oK+wIJKlOoKU3CeSUhOLL3Oi483Tz8jvj2PpoPdMCa9e3b2BDRt9ry20Gj4d6WRUaRoBMlbctyVlNk0NKZvz8yKB3oBrf+NpMPY/HKk6JLc1eZ65+vZrlr/YyX0nOEbAhcTgAMqmJ87W5gSK1ARkTXVaPBFjnRvlB1/4xfvLv13pNYz2jOOK1JZPHfDDRgvE8EAci1w7QqJ6H3DXTl+S5+pgdaxssESH/0DZPADBDy7+jYcB+H0fqVG0KZIZYl7TblGiUGFq29bS/UdSQbrZzW71o7iylcAsGCQfN/ZkACwNIkK0isdvaHDKRyPBzn8xAgSDKtNtGVYk0tbu55fVw6v8ot8m3p6tmDh8QBU9hsNQnGdsgyW/T9lvAFEo5AmpFwh0c+ERTgEu8KrmP4AL1nBjclTrlHUyv0L0oAAAAAAAARVhJRroAAABFeGlmAABJSSoACAAAAAYAEgEDAAEAAAABAAAAGgEFAAEAAABWAAAAGwEFAAEAAABeAAAAKAEDAAEAAAACAAAAEwIDAAEAAAABAAAAaYcEAAEAAABmAAAAAAAAAEgAAAABAAAASAAAAAEAAAAGAACQBwAEAAAAMDIxMAGRBwAEAAAAAQIDAACgBwAEAAAAMDEwMAGgAwABAAAA//8AAAKgBAABAAAAcAIAAAOgBAABAAAAXwEAAAAAAAA=)
図形の証明問題に合同条件はよく使われます。問題によって図形はことなりますが、合同条件の文言だけでなく、文章の書き方にも型があって、型にはめていく要素が分かれば機械的な作業で解けます。
要素を見つけられるようになるには多くの問題に挑戦して、問題のパターンを理解しておくのが重要です。ぜひ基本をしっかり押さえながら多くの問題にチャレンジしてみてください。
[練習問題の解答]
▼三角形の合同条件
*基礎問題*
【1】(1)△ABC≡△FDE (2)4cm (3)110°
【2】(1)BC=EFまたは ∠A=∠D (2)AC=DFまたは ∠B=∠E (∠A=∠D)
*応用問題*
【3】(1)△OAC≡△OBD (2) 2組の辺とその間の角がそれぞれ等しい
【4】(1)いえない (2)いえる (3)いえない
▼直角三角形の合同条件
*基礎問題*
【5】[ア]90° [イ]30° [ウ]1組の辺とその両端の角
【6】△ABDと△ACEで、仮定より、AB=AC…① ∠ADB=∠AEC=90°…②
共通な角だから、∠BAD=∠CAE…③
①②③から、直角三角形の斜辺と1つの鋭角がそれぞれ等しいので、△ABD≡△ACE
合同な図形では、対応する辺は等しいので、AD=AE
*応用問題*
【7】[ア]ACD [イ]AC [ウ]ABD [エ]AD [オ]斜辺と他の1辺
【8】△DBMと△ECMで、仮定より、BM=CM…① ∠MDB=∠MEC=90°…②
二等辺三角形の底辺は等しいので、∠DBM=∠ECM…③
①②③から直角三角形の斜辺と1つの鋭角がそれぞれ等しいので、△DBM≡△ECM
合同な図形では対応する辺は等しいので、MD=ME