如图，已知四边形ABCD是菱形，DE⊥AB，DF⊥BC，求证：△ADE≌△CDF．

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证明：∵四边形ABCD是菱形，∴∠A=∠C，AD=CD，又∵DE⊥AB，DF⊥BC，∴∠AED=∠CFD=90°，在△ADE和△CDF中，

{\begin{matrix} ∠ A = ∠ C \end{matrix}

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