Class 9 Mathematics – Chapter 8: Quadrilaterals (MCQ Mock Test)

Master the Properties of Quadrilaterals with Our Engaging MCQ Mock Test!

Can you recall the properties of parallelograms, rectangles, rhombuses, and trapeziums? Test your understanding with this MCQ-based mock test on Quadrilaterals, designed as per the latest Class 9 Maths syllabus. This test covers all key concepts — types of quadrilaterals, properties of their sides and angles, mid-point theorem, and the relationships between their diagonals.

Each question is crafted to strengthen your reasoning skills, enhance geometrical understanding, and prepare you for exam-style problem solving. Whether you’re revising for school tests or brushing up on your basics, this mock test provides the perfect practice to boost accuracy and confidence.

Attempt now and make Quadrilaterals one of your most scoring and well-understood chapters in Geometry!

1. In a parallelogram ABCD, if ∠A = 60°, then ∠D is equal to

 
 
 
 

2. Diagonals of a parallelogram are always perpendicular to each other.

 
 

3. In the given figure, l | | m | | n if AB > BC, then, the relation between AG and GF is

 
 
 
 

4. Given a quadrilateral ABCD, and diagonals AC and BD bisect each other at P such that AP = CP and BP = DP. Also ∠APD = 90°, then quadrilateral is a

 
 
 
 

5. A quadrilateral, whose diagonals bisect at right angles, is called

 
 
 
 

6. Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion (A): A quadrilateral ABCD is a parallelogram if a pair of opposite sides are equal and parallel.
Reason (R): The diagonal of a parallelogram divide it into two congruent triangles.

 
 
 
 

7. 115°, 75°, 70°, 95° can be taken as angles of a quadrilateral.

 
 

8. Four points A,B,C,D are joined together in order and we noticed AB = CD = 5 cm and also, AB is parallel to CD then the quadrilateral obtained is a

 
 
 
 

9. Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

 

Assertion (A): A parallelogram is obtained on joining the mid point of adjacent sides of a quadrilateral.

Reason (R): The line joining the mid points of two sides of a triangle is parallel to third side.

 
 
 
 

10. Which of the following is not a parallelogram ?

 
 
 
 

11. Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

 

Assertion (A): A parallelogram is obtained on joining the mid point of adjacent sides of a quadrilateral.

Reason (R): The line joining the mid points of two sides of a triangle is parallel to third side.

 
 
 
 

12. In a quadrilateral ABCD, equal diagonals AC and BD intersect at P, such that AP = PC and BP = PD, also ∠BPC = 90°, then quadrilateral is exactly

 
 
 
 

13. Given an equilateral triangle ABC, D, E and F are the mid-points of AB, BC and AC respectively, then the quadrilateral BEFD is exactly a

 
 
 
 

14. Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion (A): If the diagonal of a parallelogram are equal, then formed by its adjacent side is right angle.
Reason (R): If the diagonals of a parallelogram are equal, then quadrilateral is trapezium.

 
 
 
 

15. Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion (A): In a rhombus ABCD, AC bisects the angles ∠A as well  ∠C.
Reason (R): A rhombus has two diagonals that intersect each other at 90°.

 
 
 
 

16. Two angles of a quadrilateral are 60° and 70° and other two angles are in the ratio 8 : 15, then the remaining two angles are

 
 
 
 

17. In the given figure, ABCD is a rhombus, AO = 4 cm and DO = 3 cm. Then the perimeter of the rhombus is

 
 
 
 

18. In a parallelogram ABCD, E and F are the mid\u2011points of sides AB and CD respectively. AF and CE meet the diagonal BD of length 12 cm at P and Q. Then length of PQ is

 
 
 
 

19. Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion (A): The bisectors of the angles of a parallelogram form a rectangle.
Reason (R): Any two consecutive angle bisector of a parallelogram intersect at right angle.

 
 
 
 

20. Which of the following statement is correct?

 
 
 
 

21. Given a trapezium ABCD, in which AB || CD and AD = BC. If ∠D = 70°, then ∠C will be

 
 
 
 

22.  

Given a rectangle ABCD and P, Q, R, S are the mid-points of AB, BC, CD and DA respectively.

Length of diagonal of a rectangle is 8 cm. Then the quadrilateral PQRS is a

 
 
 
 

23. Given a quadrilateral ABCD such that ∠C = 90° and diagonal AC and BD bisect each other at O, then the quadrilateral is a

 
 
 
 

24. A \u2206ABC, right angled at B. Side AB = 6 cm and side BC = 8 cm. D is mid-point of AC. Then length of BD is

 
 
 
 

25. D and E are the mid-points of the sides AB and AC of \u2206ABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

 
 
 
 

26. In the given figure, ABCD is a parallelogram. If ∠C = 65°, then (∠B + ∠D) is equal to

 
 
 
 

27. In the given figure, find BD, if DE | | BC.

 
 
 
 

28. The value of x in the given figure is

 
 
 
 

29. A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is

 
 
 
 

30. In a parallelogram ABCD, AP and CQ are perpendicular drawn to the diagonal BD. On measuring it is found that ∠PAB = 65° and ∠DAB = 75°, then the measure of ∠QCD is

 
 
 
 

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