Mathematics Questions and Answers – Triangles Basics

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Triangles Basics”.

1. A triangle has __________ vertices.
a) one
b) two
c) three
d) four
View Answer

Answer: c
Explanation: As shown in below diagram, triangle ABC has three vertices namely A, B and C. Similarly, it has three edges AB, BC and AC and three angles ∠A, ∠B and ∠C.

2. Which one is true if triangle ABC is congruent to triangle PQR?
a) AB = PQ
b) AB = QR
c) BC = QR
d) ∠A = ∠Q
View Answer

Answer: a
Explanation: ABC \(\leftrightarrow\) PQR means triangles ABC and PQR are congruent to each other and if they are congruent to each other, AB = PQ, BC = QR and AC = PR.
Similarly ∠A = ∠P, ∠B = ∠Q and ∠C = ∠R.
And for vertices, A = P, B = Q and C = R.

3. From the diagram given below, which is true for two triangles?

a) Triangle ABC is congruent to triangle PQR
b) Triangle ABC is congruent to triangle QPR
c) Triangle ABC is congruent to triangle QRP
d) Triangle ABC is congruent to triangle RPQ
View Answer

Answer: c
Explanation: As we can see from the diagram that AB \(\leftrightarrow\) QR, BC \(\leftrightarrow\) RP and CA \(\leftrightarrow\) PQ.
Therefore we can say that triangle ABC is congruent to triangle PQR.
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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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