Question

ln ∆ABC and ∆PQR, ∠ A =∠ P, ∠C= ∠ R and AB = PQ.
Prove that ∆ABC ≈APQR.

Answer 1

Given :

∠A= ∠P

∠C= ∠R

AB= PQ


To prove:

∆ABC≅∆PQR


Proof:

In ∆ABC & ∆PQR


∠A= ∠P              ( Given)

∠C= ∠R               ( Given)

AB= PQ                   ( Given)


∆ABC≅∆PQR      (by ASA Congruence rule)

==================================================================================

Hope this will help you....

Answer 2

< A = < P (given)
< C = < R (given)
AB = PQ (given)
So, according to Angle Side Angle (ASA) property it is proved.
Hence, triangle ABC is congruent to triangle PQR.

Hope it helps you.
With regards@
Tanisha