题目
如图,AB∥DE,AC∥DF,AC=DF,下列条件中不能判断△ABC≌△DEF的是( ) A. AB=DE B. ∠B=∠E C. EF=BC D. EF∥BC
答案:D解:∵AB∥DE,AC∥DF,∴∠A=∠D, (1)AB=DE,则△ABC和△DEF中,,∴△ABC≌△DEF,故A选项错误; (2)∠B=∠E,则△ABC和△DEF中,,∴△ABC≌△DEF,故B选项错误; (3)EF=BC,无法证明△ABC≌△DEF(ASS);故C选项正确; (4)∵EF∥BC,AB∥DE,∴∠B=∠E,则△ABC和△DEF中,,∴△ABC≌△DEF