Question

In triangles ABC and PQR, ∠A = ∠P, AB = PQ and ∠B = ∠Q; then by which congruency criterion are these two triangles congruent?

Answer 1

In $△$ABC and $△$PQR,
∠A = ∠P ... (Given)
AB = PQ ... (Given)
∠B = ∠Q ... (Given)
$\therefore$ $△$ABC $\cong$ $△$PQR
[ASA congruence rule]

ASA congruence rule: Two triangles are congruent, if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle.