Class 9 Maths Chapter 8 Quadrilaterals MCQs

Class 9 Maths Chapter 8 (Quadrilaterals) MCQs are available here with answers, online. The questions are prepared, as per the CBSE syllabus and NCERT curriculum. Students can prepare for exams with the help of these objective questions to score good marks. The answers are available with detailed explanations. Get chapter-wise MCQs at BYJU’S and also check Important Questions for Class 9 Maths.

MCQs on Class 9 Quadrilaterals

Solve the questions provided below with four multiple options and choose the correct one.

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: b

2) The sum of all the angles of a quadrilateral is equal to:

a. 180°

b. 270°

c. 360°

d. 90°

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: 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: d

5) A diagonal of a parallelogram divides it into two congruent:

a. Square

b. Parallelogram

c. Triangles

d. Rectangle

Answer: c

6) In a parallelogram, opposite angles are:

a. Equal

b. Unequal

c. Cannot be determined

d. None of the above

Answer: a

7) The diagonals of a parallelogram:

a. Equal

b. Unequal

c. Bisect each other

d. Have no relation

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: 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: b

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: 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

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