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初中数学八年级上册试题库(555题)


如图,点\(M\)\(N\)分别是正五边形\(ABCDE\)的边\(BC\)\(CD\)上的点,且满足\(BM = CN\)\(AM\)\(BN\)于点\(P\)

图片 9

求证:\(\Delta ABM \cong \Delta BCN\)



知识点:第十二章 全等三角形


参考答案:证明:正五边形\(ABCDE\)中,\(AB = BC\),\(\angle ABM = \angle C\),在\(\Delta ABM\)和\(\Delta BCN\)中\(\left\{ {\begin{array}{*{20}{l}}
{AB = BC} \\
{\angle ABM = \angle C} \\
{BM = CN}
\end{array}} \right.\),\(\therefore \Delta ABM \cong \Delta BCN(SAS)\);

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