已知,AE=DF,BF=CE,AE//DF,问AB=CD吗
2个回答
∵BF=CE即BE+EF=EF+CF
∴BE=CF
∵AE∥DF
∴∠AEF=∠DFE
∴∠AEB=∠DFC(补角相等)
∵AE=DF
∴△AEB≌△CDF(SAS)
∴AB=CD
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