## MCQ Questions for Class 9 Maths: Ch 8 Quadrilaterals

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

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

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

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

5. 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
► (a) ∠A = ∠B

6. 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°
► (d) 38°

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

8. The 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°
► (d) 37°, 37°

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

10. 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°
► (c) 80°, 150°

11. 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
► (d) 10 cm

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

13. 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°
► (a) 115°, 79°, 118°, 48°

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

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

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

17. 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
► (c) Rectangle

18. 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
► (a) 4.5 cm

19. 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
► (c) trapezium

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

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

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

23. 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°
► (b) 50°

24. 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°
► (d) 72°