Question

It is given that AB=BC and AD=EC.Prove that triangle ABE is congurent with triangle CBD​

Answer 1

Step-by-step explanation:

Given, AD=EC

⇒ AD+DE=DE+EC

⇒ AE=DC

Also, AB=BC

⇒ ∠BCA=∠BAC (isos. △ property)

⇒ ∠BCD=∠BAE

∴ In △s ABE and CBD,

AB=CB (Given)

AE=DC (proved above)

∠BAE=∠BCD (Proved above)

∴ △ABE≅△CBD (SAS)

hope it helps