Mathematics Questions and Answers – Criteria for Congruence of Triangles


This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses 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
View Answer

Answer: b
Explanation: 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
View Answer

Answer: a
Explanation: 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.

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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