题目内容
如图,AB∥DE,AC∥DF,BE=CF.求证:△ABC≌△DEF.
证明:∵AB∥DE,AC∥DF,
∴∠B=∠DEF,∠F=∠ACB.
∵BE=CF,
∴BE+CE=CF+EC.
∴BC=EF.
∴△ABC≌△DEF (ASA).
∴∠B=∠DEF,∠F=∠ACB.
∵BE=CF,
∴BE+CE=CF+EC.
∴BC=EF.
∴△ABC≌△DEF (ASA).
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