MCQ Questions for Class 9 Maths Chapter 8 Quadrilaterals with Answers

Students are advised to solve the Quadrilaterals Multiple Choice Questions of Class 9 Maths to know different concepts. Practicing the MCQ Questions on Quadrilaterals Class 9 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Quadrilaterals Class 9 with answers provided with detailed solutions by looking below.

Question 1.
A diagonal of a Rectangle is inclines to one side of the rectangle at an angle of 25°. The Acute Angle between the diagonals is :
(a) 115°
(b) 50°
(c) 40°
(d) 25°

Answer

Answer: (b) 50°


Question 2.
The diagonals of a rectangle PQRS intersects at O. If ∠QOR = 44°, ∠OPS =?
(a) 82°
(b) 52°
(c) 68°
(d) 75°

Answer

Answer: (c) 68°


Question 3.
If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is
(a) rhombus
(b) parallelogram
(c) trapezium
(d) kite

Answer

Answer: (c) trapezium


Question 4.
All the angles of a convex quadrilateral are congruent. However, not all its sides are congruent. What type of quadrilateral is it?
(a) Parallelogram
(b) Square
(c) Rectangle
(d) Trapezium

Answer

Answer: (c) Rectangle


Question 5.
In a Quadrilateral ABCD, AB = BC and CD = DA, then the quadrilateral is a
(a) Triangle
(b) Kite
(c) Rhombus
(d) Rectangle

Answer

Answer: (b) Kite


Question 6.
The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will be
(a) 115°, 79°, 118°, 48°
(b) 100° 79°, 118°, 63°
(c) 110°, 84°, 106°, 60°
(d) 75°, 89°, 128°, 68°

Answer

Answer: (a) 115°, 79°, 118°, 48°


Question 7.
The diagonals of rhombus are 12 cm and 16 cm. The length of the side of rhombus is:
(a) 12 cm
(b) 16 cm
(c) 8 cm
(d) 10 cm

Answer

Answer: (d) 10 cm


Question 8.
In quadrilateral PQRS, if ∠P = 60° and ∠Q : ∠R : ∠S = 2 : 3 : 7, then ∠S =
(a) 175°
(b) 210°
(c) 150°
(d) 135°

Answer

Answer: (a) 175°


Question 9.
In parallelogram ABCD, if ∠A = 2x + 15°, ∠B = 3x – 25°, then value of x is:
(a) 91°
(b) 89°
(c) 34°
(d) 38°

Answer

Answer: (d) 38°


Question 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

Answer: (a) ∠A = ∠B


Question 11.
The diagonals of a parallelogram:
(a) Equal
(b) Unequal
(c) Bisect each other
(d) Have no relation

Answer

Answer: (c) Bisect each other


Question 12.
The sum of all the angles of a quadrilateral is equal to:
(a) 180°
(b) 270°
(c) 360°
(d) 90°

Answer

Answer: (c) 360°


Question 13.
If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is:
(a) 81°
(b) 54°
(c) 108°
(d) 72°

Answer

Answer: (d) 72°


Question 14.
In a parallelogram ABCD, if ∠A = 75°, then ∠B = ?
(a) 95°
(b) 80°
(c) 105°
(d) 15°

Answer

Answer: (c) 105°


Question 15.
Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :
(a) 178°
(b) 156°
(c) 90°​
(d) 36°​

Answer

Answer: (b) 156°


Question 16.
Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be
(a) 4.5 cm
(b) 6.5 cm
(c) 2.5 cm
(d) 3.0 cm

Answer

Answer: (a) 4.5 cm


Question 17.
If ABCD is a Parallelogram with 2 Adjacent angles ∠A =∠B, then the parallelogram is a
(a) Rhombus
(b) Triangle
(c) Rectangle
(d) Square

Answer

Answer: (c) Rectangle


Question 18.
Which of the following is not a parallelogram?
(a) Rectangle
(b) Rhombus
(c) Square
(d) Trapezium

Answer

Answer: (d) Trapezium


Question 19.
In a parallelogram the sum of two consecutive angles is
(a) 360°
(b) 100°
(c) 180°
(d) 90°

Answer

Answer: (c) 180°


Question 20.
Two angles of a quadrilateral are 50° and 80° and other two angles are in the ratio 8 : 15. Find the measure of the remaining two angles.​
(a) 100°, 130°
(b) 140°, 90°
(c) 80°, 150°
(d) 70°, 160°

Answer

Answer: (c) 80°, 150°


Question 21.
he opposite angles of a parallelogram are (3x – 2)° and (50 – x)° the measure of these angles is ______.​
(a) 140°, 140°
(b) 20°, 160°
(c) 37°, 143°
(d) 37°, 37°

Answer

Answer: (d) 37°, 37°


Question 22.
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32°, ∠AOB = 70°, then ∠DBC is equal to:
(a) 32°
(b) 88°
(c) 24°
(d) 38°

Answer

Answer: (d) 38°


Question 23.
Each angle of rectangle is:
(a) More than 90°
(b) Less than 90°
(c) Equal to 90°
(d) Equal to 45°

Answer

Answer: (c) Equal to 90°


Question 24.
A diagonal of a parallelogram divides it into two congruent:
(a) Square
(b) Parallelogram
(c) Triangles
(d) Rectangle

Answer

Answer: (c) Triangles


 


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