CBSE Class 9 Mathematics Quadrilaterals MCQs Set 08

Download CBSE MCQs for Class 9 Mathematics: Chapter 08 Quadrilaterals

Access targeted multiple-choice questions for Chapter 08 Quadrilaterals designed to align with the latest CBSE academic syllabus for Class 9 Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.

Chapter-wise Objective Questions: Chapter 08 Quadrilaterals

View or download the dedicated Chapter 08 Quadrilaterals MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.

Multiple Choice Questions

Question 1: ABCD is a quadrilateral. If AC and BD bisect each other then ABCD must be a
(a) Square
(b) Rectangle
(c) Parallelogram
(d) Rhombus
Show Answer & Explanation

Answer: (c) Parallelogram

Explanation:
1. Diagonals bisecting each other is the characteristic property of a parallelogram.
2. It need not be a square, rectangle or rhombus.

Teacher's Note:
1. Only the parallelogram property is guaranteed.

Question 2: The bisectors of the angles of a parallelogram enclose a
(a) Parallelogram
(b) Rhombus
(c) Rectangle
(d) Square
Show Answer & Explanation

Answer: (c) Rectangle

Explanation:
1. The bisectors of two adjacent angles meet at 90°.
2. So the quadrilateral formed by all four bisectors has four right angles, a rectangle.

Teacher's Note:
1. Half of 180° is 90°.

Question 3: The diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠AOB is
(a) 10°
(b) 40°
(c) 50°
(d) 90°
Show Answer & Explanation

Answer: (d) 90°

Explanation:
1. ∠AOB and ∠BOC form a linear pair, so ∠AOB = 180° − 90° = 90°.
2. The other data show that ABCD is a rhombus with ∠OAB = 40°.

Teacher's Note:
1. Adjacent angles formed by intersecting diagonals add to 180°.

Question 4: In parallelogram PQRS, ∠P = 75° and ∠SQR = 60°. The values of ∠SQP and ∠QSP are respectively
(a) 45°, 60°
(b) 60°, 45°
(c) 70°, 35°
(d) 35°, 70°
Show Answer & Explanation

Answer: (a) 45°, 60°

Explanation:
1. PS ∥ QR, so ∠QSP = ∠SQR = 60° (alternate angles).
2. In triangle PQS, ∠SQP = 180° − 75° − 60° = 45°.

Teacher's Note:
1. Alternate angles on parallel sides are equal.

Question 5: One of the diagonals of a rhombus is equal to a side of the rhombus. The angles of the rhombus are
(a) 60° and 80°
(b) 60° and 120°
(c) 120° and 240°
(d) 100° and 120°
Show Answer & Explanation

Answer: (b) 60° and 120°

Explanation:
1. The diagonal and two sides form an equilateral triangle, so one angle of the rhombus is 60°.
2. The adjacent angle is 180° − 60° = 120°.

Teacher's Note:
1. Two angles are 60° and two are 120°.

Question 6: The bisectors of the angles of a parallelogram enclose a figure that is a
(a) Parallelogram
(b) Rectangle
(c) Rhombus
(d) Square
Show Answer & Explanation

Answer: (b) Rectangle

Explanation:
1. Bisectors of adjacent angles (which add to 180°) meet at a right angle.
2. All four corners of the enclosed figure are right angles, so it is a rectangle.

Teacher's Note:
1. Check with a rhombus too: the figure is still a rectangle.

Question 7: If ABCD is a parallelogram with two adjacent angles A and B equal to each other, then the parallelogram is a
(a) Rhombus
(b) Trapezium
(c) Rectangle
(d) None
Show Answer & Explanation

Answer: (c) Rectangle

Explanation:
1. Adjacent angles of a parallelogram are supplementary, so ∠A + ∠B = 180°.
2. With ∠A = ∠B each is 90°, so it is a rectangle.

Teacher's Note:
1. One right angle in a parallelogram gives a rectangle.

Question 8: The figure formed by joining the mid-points of the adjacent sides of a square is a
(a) Rhombus
(b) Square
(c) Rectangle
(d) Parallelogram
Show Answer & Explanation

Answer: (b) Square

Explanation:
1. The diagonals of a square are equal and perpendicular.
2. Both properties carry over, so the mid-point figure has equal sides and right angles.
3. It is a square.

Teacher's Note:
1. Equal and perpendicular diagonals give a square.

Question 9: ABCD is a rhombus. If ∠ACB = 40°, then ∠ADB is
(a) 40°
(b) 45°
(c) 50°
(d) 60°
Show Answer & Explanation

Answer: (c) 50°

Explanation:
1. AB = BC, so ∠BAC = ∠ACB = 40°.
2. ∠ABC = 180° − 80° = 100°, so ∠ADC = 100°.
3. The diagonal DB bisects ∠ADC, so ∠ADB = 50°.

Teacher's Note:
1. Diagonals of a rhombus bisect its angles.

Question 10: In a quadrilateral the angles are in the ratio 3 : 4 : 5 : 6. The difference between the greatest and the smallest angle is
(a) 108°
(b) 60°
(c) 180°
(d) 360°
Show Answer & Explanation

Answer: (b) 60°

Explanation:
1. The sum 3k + 4k + 5k + 6k = 18k = 360°, so k = 20°.
2. The greatest angle is 120° and the smallest is 60°.
3. Difference = 60°.

Teacher's Note:
1. Divide 360° in the given ratio.

Question 11: Which of the following properties are not true for a parallelogram in general?
(A) Its diagonals are equal.
(B) Its diagonals are perpendicular to each other.
(C) The diagonals divide it into four congruent triangles.
(a) Only (A)
(b) Only (A) and (B)
(c) Only (B) and (C)
(d) All of (A), (B) and (C)
Show Answer & Explanation

Answer: (d) All of (A), (B) and (C)

Explanation:
1. The diagonals of a general parallelogram are unequal and not perpendicular.
2. They divide it into two pairs of congruent triangles, not four congruent triangles.
3. So none of the three holds in general.

Teacher's Note:
1. These are properties of rectangles and rhombuses.

Question 12: In a parallelogram ABCD, ∠D = 60°. Then the measure of ∠A is
(a) 120°
(b) 65°
(c) 90°
(d) 75°
Show Answer & Explanation

Answer: (a) 120°

Explanation:
1. Adjacent angles of a parallelogram are supplementary.
2. ∠A = 180° − 60° = 120°.

Teacher's Note:
1. Co-interior angles add up to 180°.

Question 13: The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. The adjacent sides of the parallelogram are
(a) 30 cm, 40 cm
(b) 40 cm, 50 cm
(c) 50 cm, 60 cm
(d) None of these
Show Answer & Explanation

Answer: (b) 40 cm, 50 cm

Explanation:
1. a + b = 90 and a − b = 10.
2. a = 50, b = 40.

Teacher's Note:
1. The perimeter is twice the sum of adjacent sides.

Question 14: The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a
(a) Parallelogram
(b) Rectangle
(c) Square
(d) Rhombus
Show Answer & Explanation

Answer: (a) Parallelogram

Explanation:
1. Each side of the new figure is parallel to a diagonal and half its length.
2. Opposite sides are equal and parallel, so it is a parallelogram.

Teacher's Note:
1. Use the mid-point theorem in the two triangles cut off by a diagonal.

Question 15: ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Then ∠BDC is equal to
(a) 75°
(b) 60°
(c) 45°
(d) 55°
Show Answer & Explanation

Answer: (c) 45°

Explanation:
1. AD ∥ BC, so ∠ADB = ∠DBC = 60° (alternate angles).
2. In triangle ABD, ∠ABD = 180° − 75° − 60° = 45°.
3. AB ∥ DC, so ∠BDC = ∠ABD = 45°.

Teacher's Note:
1. Use alternate angles twice.

Free study material for Mathematics

Chapter 08 Quadrilaterals Objective Questions & Solutions for Class 9 Mathematics

Class 9 Mathematics Chapter 08 Quadrilaterals Objective Test Questions

Test your conceptual understanding of Chapter 08 Quadrilaterals with these targeted multiple-choice questions. Designed in alignment with the latest CBSE curriculum for Class 9 Mathematics, these problem sets build accuracy and prepare students for objective exams.

NCERT-Aligned Objective Questions and Solutions

Cross-reference your completed choices with comprehensive NCERT solutions for Class 9 Mathematics to ensure absolute clarity across all sub-topics in this chapter.

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FAQs

Where can I access latest CBSE Class 9 Mathematics Quadrilaterals MCQs Set 08?

You can get most exhaustive CBSE Class 9 Mathematics Quadrilaterals MCQs Set 08 for free on StudiesToday.com. These MCQs for Class 9 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 9 material?

Yes, our CBSE Class 9 Mathematics Quadrilaterals MCQs Set 08 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in Class 9 exams?

By solving our CBSE Class 9 Mathematics Quadrilaterals MCQs Set 08, Class 9 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 9 Mathematics Quadrilaterals MCQs Set 08?

Yes, Mathematics MCQs for Class 9 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

Can I practice these Mathematics Class 9 MCQs online?

Yes, you can also access online interactive tests for CBSE Class 9 Mathematics Quadrilaterals MCQs Set 08 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.