∵AE=DF,
AB=DC,
BE=CF
∴△ABE≌△DCF﹙SSS﹚
∴∠A=∠D
∵AE=DF
∴AE﹢EF=DF+EF
即AF=CE
∴在△ABF与△DCE中
AB=DC,
∠A=∠D,
AF=CE
∴△ABF≌△DCE﹙SAS﹚
∴BF=CE
∠BFE=∠CEF
∴BF∥CE
∵AE=DF,
AB=DC,
BE=CF
∴△ABE≌△DCF﹙SSS﹚
∴∠A=∠D
∵AE=DF
∴AE﹢EF=DF+EF
即AF=CE
∴在△ABF与△DCE中
AB=DC,
∠A=∠D,
AF=CE
∴△ABF≌△DCE﹙SAS﹚
∴BF=CE
∠BFE=∠CEF
∴BF∥CE