Question

In triangles ABC and PQR, ∠C = ∠R, BC = QR and ∠B = ∠Q, then by which congruency criteria are these two triangles congruent?

• A. A.S.A. criterion
• B. S.A.S. criterion
• C. A.A.A. criterion
• D. S.S.S. criterion

Answer 1

The correct option is A A.S.A. criterion

Given, in triangles ABC and PQR,
∠C = ∠R, BC = QR and ∠B = ∠Q.
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent by ASA rule.