如圖,已知四邊形ABCD是菱形,DE⊥AB,DF⊥BC,請說明BE與BF的數量關係.

如圖,已知四邊形ABCD是菱形,DE⊥AB,DF⊥BC,請說明BE與BF的數量關係.

EB=BF.在△ADE和△CDF中,∵四邊形ABCD是菱形,∴∠A=∠C,AD=CD.又DE⊥AB,DF⊥BC,∴∠AED=∠CFD=90◦.∴△ADE≌△CDF.∴AE=CF.∴EB與BF相等.