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

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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