# MCQ Questions for Class 9 Maths Chapter 8 Quadrilaterals with Answers

## MCQ Questions for Class 9 Maths Chapter 8 Quadrilaterals with Answers

MCQs from Class 9 Maths Chapter 8 – Quadrilaterals are provided here to help students prepare for their upcoming Maths exam.

MCQs from CBSE Class 9 Maths Chapter 8: Quadrilaterals

1) The quadrilateral whose all its sides are equal and angles are equal to 90 degrees, it is called:
a. Rectangle
b. Square
c. Kite
d. Parallelogram

Answer/ Explanation

Answer: (b)

2) The sum of all the angles of a quadrilateral is equal to:
a. 180°
b. 270°
c. 360°
d. 90°

Answer/ Explanation

Answer: (c)

3) A trapezium has:
a. One pair of opposite sides parallel
b. Two pair of opposite sides parallel to each other
c. All its sides are equal
d. All angles are equal

Answer/ Explanation

Answer: (a)
Explanation: A trapezium has only one pair of opposite sides parallel to each other and other two sides are non-parallel.

4) A rhombus can be a:
a. Parallelogram
b. Trapezium
c. Kite
d. Square

Answer/ Explanation

Answer: (d)

5) A diagonal of a parallelogram divides it into two congruent:
a. Square
b. Parallelogram
c. Triangles
d. Rectangle

Answer/ Explanation

Answer: (c)

6) In a parallelogram, opposite angles are:
a. Equal
b. Unequal
c. Cannot be determined
d. None of the above

Answer/ Explanation

Answer: (a)

7) The diagonals of a parallelogram:
a. Equal
b. Unequal
c. Bisect each other
d. Have no relation

Answer/ Explanation

Answer: (c)
Explanation: The diagonals of a parallelogram intersect each other at 90 degrees.

8) Each angle of rectangle is:
a. More than 90°
b. Less than 90°
c. Equal to 90°
d. Equal to 45°

Answer/ Explanation

Answer: (c)
Explanation: Let ABCD is a rectangle, and ∠A = 90°

AD || BC and AB is a transversal

∠ A + ∠ B = 180° (Interior angles on the same side of the transversal)

∠ A = 90°

So, ∠ B = 180° – ∠ A = 180° – 90° = 90°

Now, ∠ C = ∠ A and ∠ D = ∠ B (Opposite angles of the parallellogram)

So, ∠ C = 90° and ∠ D = 90°

Hence all sides are equals to 90°.

9) The angles of quadrilateral are in the ratio 4:5:10:11. The angles are:
a. 36°, 60°, 108°, 156°
b. 48°, 60°, 120°, 132°
c. 52°, 60°, 122°, 126°
d. 60°, 60°, 120°, 120°

Answer/ Explanation

Answer: (c)
Explanation: Let x be the common angle among all the four angles of quadrilateral.

As per angle sum property, we know:

4x+5x+10x+11x = 360°

30x = 360°

x = 12°

Hence, angles are

4x = 4 (12) = 48°

5x = 5 (12) = 60°

10x = 10 (12) = 120°

11x = 11 (12) = 132°

10) If ABCD is a trapezium in which AB || CD and AD = BC, then:
a. ∠A = ∠B
b. ∠A > ∠B
c. ∠A < ∠B
d. None of the above

Answer/ Explanation

Answer: (a)
Explanation: Draw a line through C parallel to DA intersecting AB produced at E.

CE = AD (Opposite sides)

AD = BC (Given)

BC = CE

⇒ ∠CBE = ∠CEB

also,

∠A + ∠CBE = 180° (Angles on the same side of transversal and ∠CBE = ∠CEB)

∠B + ∠CBE = 180° ( As Linear pair)

⇒ ∠A = ∠B