Mathematics Questions and Answers – Types of Quadrilaterals

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

1. If one pair of opposite sides are parallel in a quadrilateral, it is called __________
a) trapezium
b) rhombus
c) square
d) parallelogram
View Answer

Answer: a
Explanation: In a trapezium, one pair of sides are parallel as shown in the diagram.
maths-questions-answers-types-quadrilaterals-q1
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2. Which of the following shapes represent a rhombus?
a) maths-questions-answers-types-quadrilaterals-q2a
b) maths-questions-answers-types-quadrilaterals-q2b
c) maths-questions-answers-types-quadrilaterals-q2c
d) maths-questions-answers-types-quadrilaterals-q2d
View Answer

Answer: c
Explanation: A quadrilateral is said to be rhombus if all sides of it are equal. We can see that in Figure C, all sides are equal and hence, it represents a rhombus.

3. If one of the angles of a quadrilateral is not right angle but all the sides are equal, it is called a square.
a) True
b) False
View Answer

Answer: b
Explanation: For a quadrilateral to be a square, following conditions has to be satisfied.
All the sides should be equal, each pair of the sides should be parallel and one angle has to be right angle.
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4. At which angle do diagonals of a rhombus bisects each other?
a) 180°
b) 360°
c) 270°
d) 90°
View Answer

Answer: d
Explanation: A rhombus is shown in the diagram below.

For ∆AOB and ∆AOD,
AB = AD (sides of the same rhombus)
OB = OD (diagonals of a parallelogram bisect each other)
OA = OA (same side)
Hence, according to SSS rule, ∆AOB and ∆AOD are congruent to each other.
Therefore,
∠AOB = ∠AOD
∠AOB + ∠AOD = 180° (linear pair of angles)
2∠AOD = 180°
Therefore, ∠AOD = 90°

5. From the diagram given below, if AB = BC and AD = CD then what is the given shape called?

a) Square
b) Kite
c) Rhombus
d) Trapezium
View Answer

Answer: b
Explanation: If two adjacent sides are equal in a quadrilateral, that shape is called kite.
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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