△ABF≌△GED证明:∵矩形ABCD∴AB=CD,∠B=90,AB∥CD∴∠BAF=∠G∵DE⊥AG∴∠DEG=∠B=90∵EG=CD∴AB=EG∴△ABF≌△GED (ASA)
解:△ABF≌△DEA.证明:矩形ABCD中,∠B=90°,AD∥CB,AB=CD.∵DE=DC,∴AB=DE.∵AD∥CB,∴∠BFA=∠EAD.又∵DE⊥AG,∴∠AED=∠B.∴△BFA≌△EAD.(AAS)
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