题目内容

已知:,点C、D在BE上,BC=DE,AB∥EF,AD∥CF.求证:AD=CF.

                                                                                 

证明:∵AB∥EF;AD∥CF             

           ∴∠E=∠B                                

             ∠ADB=∠FCE                             

           ∵BC=DE                                              

 BC+DC=DE+DC                                      

∴EC=BD

           ∴△BDE≌△ECF    ∴AD=CF .

 

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