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

2. Which of the following shapes represent a rhombus?

a)

b)

c)

d)

View Answer

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

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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.

4. At which angle do diagonals of a rhombus bisects each other?

a) 180°

b) 360°

c) 270°

d) 90°

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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

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

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

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