Mathematics Multiple Choice Questions on “Criteria for Congruence of Triangles”.
1. From the given diagram below, what can be said about two triangles ABC and PQR?
a) Triangles ABC and PQR are not congruent
b) Triangles ABC and PQR are congruent
c) AB = QR
d) ∠A = ∠R
Answer: b
Clarification: We can see that AB = PQ, ∠A = ∠P and BC = QR (All these things are given in the diagram).
Therefore, according to SAS (Side-Angle-Side) congruent rule, triangles ABC and PQR are congruent.
2. From the given diagram below, we can say that triangles ABC and PQR are congruent.
a) True
b) False
Answer: a
Clarification: It is given in the diagram that ∠B = ∠Q, BC = QR and ∠C = ∠R.
Hence, according to ASA (Angle-Side-Angle) rule, two triangles ABC and PQR are congruent.