如图,已知AB平行DE,AB等于DE,AF等于DC,求证△ABC全等于△DEF.

题目

如图,已知AB平行DE,AB等于DE,AF等于DC,求证△ABC全等于△DEF.

答案

∵AB平行DE,∴∠A=∠D,又∵AF等于DC,∴AC=DF,AB=DE,∴△ABC全等于△DEF（SAS)