Verification: AB=DE

Proof: ∵AB⊥BD, ED⊥BD (known)

∴∠ABC=∠EDC (vertical definition)

At △ABC and △EDC

∠ABC=∠EDB (certification)

CB=DC (known)

∠ACB=∠ECD (equal to vertex angle)

∴△ABC≌△EDC (American Soybean Association)

∴AB=ED (the corresponding sides of congruent triangles are equal)