Q10 of 76 Page 11

In Fig. 10.134, if AB = AC and ∠B = ∠C. Prove that BQ = CP.

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)


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