如圖,已知點E,C在線段BF上,BE=CF,AB‖DE,∠ACB=∠F.求證:△ABC≌△DEF.

如圖,已知點E,C在線段BF上,BE=CF,AB‖DE,∠ACB=∠F.求證:△ABC≌△DEF.


證明:∵AB‖DE,∴∠B=∠DEF.∵BE=CF,∴BC=EF.∵∠ACB=∠F,∴∠B=∠DEFBC=EF∠ACB=∠F,∴△ABC≌△DEF(ASA).



已知△ABC全等於△DEF,∠A=52°,∠B=32°12‘,DE=10cm,求∠DFE的度數和AB的長度.


AB=10,∠DFE=95°48′