Class 9 Mathematics (NCERT)

1. The sum of all four interior angles of a quadrilateral is equal to:

• A. 180°
• B. 270°
• C. 360°
• D. 540°

2. Three angles of a quadrilateral are 75°, 90°, and 75°. The fourth angle is:

• A. 90°
• B. 95°
• C. 105°
• D. 120°

3. A quadrilateral having both pairs of opposite sides parallel is called a:

• A. Trapezium
• B. Parallelogram
• C. Kite
• D. Quadrilateral only

4. Which of the following is NOT a property of a parallelogram?

• A. Opposite sides are equal
• B. Opposite angles are equal
• C. Diagonals bisect each other
• D. Diagonals are always equal

5. A diagonal of a parallelogram divides it into two ________ triangles.

• A. Equilateral
• B. Similar only
• C. Congruent
• D. Isosceles

6. A parallelogram having all four sides equal is called a:

• A. Rectangle
• B. Rhombus
• C. Trapezium
• D. Kite

7. A parallelogram having one of its angles equal to 90° is called a:

• A. Rhombus
• B. Trapezium
• C. Rectangle
• D. Kite

8. The diagonals of a rhombus intersect each other at:

• A. 45°
• B. 60°
• C. 90°
• D. 120°

9. The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to ________ of it.

• A. Double
• B. Half
• C. One-third
• D. Equal

10. In ΔABC, if D and E are mid-points of AB and AC respectively, and BC = 12 cm, find DE.

• A. 24 cm
• B. 6 cm
• C. 12 cm
• D. 4 cm

11. If the diagonals of a quadrilateral bisect each other at right angles, then it is a:

• A. Rectangle
• B. Trapezium
• C. Rhombus
• D. Parallelogram only

12. If the diagonals of a parallelogram are equal, then it is a:

• A. Rhombus
• B. Rectangle
• C. Trapezium
• D. Kite

13. The angles of a quadrilateral are in ratio 3 : 5 : 9 : 13. Find the smallest angle.

• A. 36°
• B. 60°
• C. 108°
• D. 156°

14. The angles of a quadrilateral are in ratio 3 : 5 : 9 : 13. Find the largest angle.

• A. 36°
• B. 60°
• C. 108°
• D. 156°

15. A quadrilateral having only one pair of opposite sides parallel is a:

• A. Parallelogram
• B. Trapezium
• C. Rhombus
• D. Square

16. Consecutive adjacent angles of a parallelogram are always:

• A. Equal
• B. Complementary
• C. Supplementary
• D. Reflex

17. In a parallelogram ABCD, if ∠A = 70°, find ∠B.

• A. 70°
• B. 110°
• C. 90°
• D. 120°

18. In a parallelogram ABCD, if ∠A = 70°, find ∠C.

• A. 70°
• B. 110°
• C. 90°
• D. 180°

19. The figure formed by joining the mid-points of the sides of a quadrilateral in order is a:

• A. Square
• B. Rectangle
• C. Parallelogram
• D. Rhombus

20. Which shape has equal diagonals that bisect each other at right angles?

• A. Rectangle
• B. Rhombus
• C. Square
• D. Parallelogram

21. In a rectangle ABCD, if diagonal AC = 10 cm, then diagonal BD is equal to:

• A. 5 cm
• B. 10 cm
• C. 20 cm
• D. 15 cm

22. Converse of Mid-point Theorem states that a line drawn through the mid-point of one side of a triangle parallel to another side ________ the third side.

• A. Doubles
• B. Bisects
• C. Cuts at 1:3 ratio
• D. Is perpendicular to

23. In a rhombus ABCD, if side AB = 6 cm, what is the perimeter of the rhombus?

• A. 12 cm
• B. 18 cm
• C. 24 cm
• D. 36 cm

24. If two adjacent sides of a rectangle are equal, it becomes a:

• A. Rhombus
• B. Square
• C. Trapezium
• D. Parallelogram only

25. In a quadrilateral ABCD, if ∠A + ∠B = 200°, find ∠C + ∠D.

• A. 100°
• B. 160°
• C. 180°
• D. 200°

26. A quadrilateral with two pairs of equal adjacent sides but unequal opposite sides is a:

• A. Rhombus
• B. Parallelogram
• C. Kite
• D. Trapezium

27. If the diagonals of a rhombus are 6 cm and 8 cm, the length of its side is:

• A. 5 cm
• B. 10 cm
• C. 7 cm
• D. 14 cm

28. Bisectors of any two adjacent angles of a parallelogram intersect at an angle of:

• A. 45°
• B. 60°
• C. 90°
• D. 180°

29. In a isosceles trapezium, the non-parallel sides are:

• A. Parallel
• B. Equal
• C. Perpendicular
• D. Unequal

30. Is every square a rhombus?

• A. Yes
• B. No
• C. Only if diagonals are equal
• D. Cannot be determined