(1)如图所示:(2)证明:∵四边形ABCD是平行四边形,∴AB=CD,∠B=∠D,∠BAD=∠BCD,∵AE平分∠BAD,CF平分∠BCD,∴∠BAE=∠DCF,在△ABE和△CDF中 ∠B=∠D AB=CD ∠BAE=∠FDC ,∴△ABE≌△CDF.