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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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