In triangles ABC and PQR , if ∠ A = ∠ R , ∠ B = ∠ P and AB = RP , then which one of the following congruence conditions applies:

Question

In triangles ABC and PQR , if &#x2220; A = &#x2220; R , &#x2220; B = &#x2220; P and AB = RP , then which one of the following congruence conditions applies:

Philoid · Accepted Answer

Since, the two adjacent angles and the contained side are shown equal while proving the two triangles congruent. Hence, by A.S.A. theorem the two triangles can be proved congruent.

In triangles ABC and PQR, if ∠A=∠R, ∠B=∠P and AB=RP, then which one of the following congruence conditions applies: