如圖,已知A,F,C,D四點在同一條直線上,AF=CD,AB‖BC,EF‖BC,式說明(1)△ABC≌△DEF;(2)角CBF=角FEC.

如圖,已知A,F,C,D四點在同一條直線上,AF=CD,AB‖BC,EF‖BC,式說明(1)△ABC≌△DEF;(2)角CBF=角FEC.

(1)∵AB//DE∴∠EDF=∠BAC∵EF//BC∴∠EFD=∠BCA∵AF=DC∴AF+FC=FC+CD∴AC=DF∵∠EDF=∠BACDF=AC∠EFD=∠BCA∴△ABC≌△DEF(角邊角)(2):∵△ABC≌△DEF∴BC=EF,∠EFC=∠BCF∵BC=EF∠EFC=∠BCFCF=CF∴△CFE…