如图：AD=CB,AE⊥BD,CF⊥BD,E和F是垂足,AE=CF.求证：AB=CD

如图：AD=CB,AE⊥BD,CF⊥BD,E和F是垂足,AE=CF.求证：AB=CD
如图：AD=CB,AE⊥BD,CF⊥BD,E和F是垂足,AE=CF.求证：AB=CD

如图：AD=CB,AE⊥BD,CF⊥BD,E和F是垂足,AE=CF.求证：AB=CD
∵AD=CB , AE=CF
又AE⊥BD,CF⊥BD
∴△AED≌△CFB(HL)
∠ADE=∠CBF
又BD=BD,AD=CB
∴△BAD≌△BCD(ASS)
AB=CD