Mathematics Questions and Answers – Properties of a Triangle

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Properties of a Triangle”.

1. Given triangle in the diagram is __________ triangle.

a) equilateral
b) right-angles
c) isosceles
d) scalene
View Answer

Answer: c
Explanation: A triangle which have two equal sides is called an isosceles triangle.
In the given diagram, we can see that AB = AC, hence it is an isosceles triangle.
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2. From the given diagram, what can be said about sides AC and PC?

a) AC = PC
b) AC > PC
c) AC < PC
d) AC >> PC
View Answer

Answer: a
Explanation: We can see in the diagram that ∠B = ∠Q, BC = QC and since ∠ACB and ∠PCQ form pair of vertically opposite angles, ∠ACB = ∠PCQ.
Hence, according to ASA (Angle-Side-Angle) rule, triangles ABC and PQC are congruent therefore, AC = PC.

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

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To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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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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