题干

如图,在边长为6的正方形ABCD中,E是边CD的中点,将△ADE沿AE对折至△AFE,延长交BC于点G.连接AG.求证:△ABG≌△AFG.

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答案(点此获取答案解析)

证明:∵四边形ABCD是正方形,

∴∠B=∠D=90°,AD=AB,

由折叠的性质可知:AD=AF,∠AFG=∠D=90°,

∴∠AFG=90°=∠B,AB=AF,

在Rt△ABG和Rt△AFG中

{AG

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