Mathematics Questions and Answers – Criteria for Congruence of Triangles

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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.
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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 - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter