Question

In Fig., if AB = AC and ∠B = ∠C. Prove that BQ = CP.

Answer 1

Given, 

∠B = ∠C

AB = AC

To Prove:

BQ = CP

Proof: In ABQ and ACP

∠B = ∠C (Given)

AB = AC (Given)

∠A = ∠A (Common)

Hence, by A.S.A. Theorem

ABQ ACP

BQ = CP (By c.p.c.t)