CBSE Class 9 Mathematics Quadrilaterals MCQs Set 09

Multiple Choice Questions (MCQs) for Class 9 Mathematics: Chapter 08 Quadrilaterals

Explore reliable objective questions for Chapter 08 Quadrilaterals tailored for Class 9 learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Practice Chapter 08 Quadrilaterals MCQs for Class 9 Mathematics

Access the complete set of multiple-choice questions for Chapter 08 Quadrilaterals below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official CBSE textbooks.

Multiple Choice Questions

Question 1: In quadrilateral ABCD, ∠A = 90° and AB = BC = CD = DA. Then ABCD is a
(a) Parallelogram
(b) Rectangle
(c) Square
(d) None of these
Show Answer & Explanation

Answer: (c) Square

Explanation:
1. All four sides are equal, so ABCD is a rhombus.
2. A rhombus with one right angle is a square.

Teacher's Note:
1. Equal sides give a rhombus.
2. One right angle then makes it a square.

Question 2: In a quadrilateral ABCD, ∠A + ∠C = 180°. Then ∠B + ∠D =
(a) 360°
(b) 100°
(c) 180°
(d) 80°
Show Answer & Explanation

Answer: (c) 180°

Explanation:
1. The four angles add up to 360°.
2. ∠B + ∠D = 360° − 180° = 180°.

Teacher's Note:
1. Subtract from 360°.

Question 3: ABCD is a parallelogram in which ∠DAO = 40°, ∠BAO = 35° and ∠COD = 65°, where O is the point of intersection of the diagonals. Then ∠ODC =
(a) 80°
(b) 105°
(c) 25°
(d) None of these
Show Answer & Explanation

Answer: (a) 80°

Explanation:
1. AB ∥ CD, so ∠OCD = ∠OAB = 35° (alternate angles).
2. In triangle COD, ∠ODC = 180° − 65° − 35° = 80°.

Teacher's Note:
1. Alternate angles with the diagonal AC.

Question 4: In a square ABCD, the diagonals bisect at O. Then triangle AOB is
(a) An equilateral triangle
(b) An isosceles but not right-angled triangle
(c) A right-angled but not an isosceles triangle
(d) An isosceles right-angled triangle
Show Answer & Explanation

Answer: (d) An isosceles right-angled triangle

Explanation:
1. The diagonals of a square are equal and bisect each other at right angles.
2. So OA = OB and ∠AOB = 90°.

Teacher's Note:
1. Equal half-diagonals and a right angle.

Question 5: If in quadrilateral ABCD, AB ∥ CD, then ABCD is a
(a) Parallelogram
(b) Rectangle
(c) Rhombus
(d) None of these
Show Answer & Explanation

Answer: (d) None of these

Explanation:
1. Only one pair of opposite sides is known to be parallel.
2. Such a quadrilateral is a trapezium in general, not necessarily a parallelogram, rectangle or rhombus.

Teacher's Note:
1. A parallelogram needs both pairs of opposite sides parallel.

Question 6: In a trapezium ABCD, AB ∥ CD. If ∠A = 50°, then ∠D =
(a) 110°
(b) 130°
(c) 70°
(d) 310°
Show Answer & Explanation

Answer: (b) 130°

Explanation:
1. AB ∥ CD with transversal AD, so ∠A + ∠D = 180° (co-interior angles).
2. ∠D = 130°.

Teacher's Note:
1. Use co-interior angles between the parallel sides.

Question 7: ABCD is a trapezium in which AB = 7 cm, AD = BC = 5 cm, DC = x cm (longer than AB) and the distance between AB and DC is 4 cm. The value of x is
(a) 13 cm
(b) 16 cm
(c) 19 cm
(d) cannot be determined
Show Answer & Explanation

Answer: (a) 13 cm

Explanation:
1. Drop perpendiculars from A and B to DC. Each leg of 5 cm with height 4 cm has a horizontal projection of 3 cm.
2. x = 3 + 7 + 3 = 13 cm.

Teacher's Note:
1. The perpendiculars cut off two equal right triangles with sides 3, 4, 5.

Question 8: If the diagonals AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a
(a) Parallelogram
(b) Rectangle
(c) Rhombus
(d) None of these
Show Answer & Explanation

Answer: (a) Parallelogram

Explanation:
1. A quadrilateral whose diagonals bisect each other is a parallelogram.
2. It need not be a rectangle or a rhombus.

Teacher's Note:
1. This is the converse of a property of parallelograms.

Question 9: In which of the following are the lengths of the diagonals always equal?
(a) Rhombus
(b) Parallelogram
(c) Trapezium
(d) Rectangle
Show Answer & Explanation

Answer: (d) Rectangle

Explanation:
1. In a rectangle the diagonals are equal because the triangles ABC and BAD are congruent.
2. In a rhombus and a general parallelogram they are unequal, and in a general trapezium too.

Teacher's Note:
1. Diagonals of a rectangle are equal and bisect each other.

Question 10: The figure formed by joining the mid-points of the adjacent sides of a rhombus is a
(a) Square
(b) Rectangle
(c) Trapezium
(d) None of these
Show Answer & Explanation

Answer: (b) Rectangle

Explanation:
1. The figure is a parallelogram with sides parallel to the diagonals.
2. The diagonals of a rhombus are perpendicular, so adjacent sides are perpendicular.
3. So it is a rectangle.

Teacher's Note:
1. Perpendicular diagonals give a rectangle.

Question 11: In quadrilateral ABCD, ∠B = 70° and ∠C = 105°. The bisectors of ∠A and ∠D meet at O. Then ∠AOD is
(a) 67.5°
(b) 77.5°
(c) 87.5°
(d) 99.75°
Show Answer & Explanation

Answer: (c) 87.5°

Explanation:
1. ∠A + ∠D = 360° − (70° + 105°) = 185°.
2. In triangle AOD, ∠OAD + ∠ODA = ½ × 185° = 92.5°.
3. ∠AOD = 180° − 92.5° = 87.5°.

Teacher's Note:
1. Bisectors halve the angles A and D.

Question 12: In quadrilateral ABCD, ∠A = 60° and ∠B : ∠C : ∠D = 2 : 3 : 7. Then ∠D =
(a) 175°
(b) 135°
(c) 150°
(d) None of these
Show Answer & Explanation

Answer: (a) 175°

Explanation:
1. ∠B + ∠C + ∠D = 360° − 60° = 300°.
2. 2k + 3k + 7k = 300°, so k = 25°.
3. ∠D = 7 × 25° = 175°.

Teacher's Note:
1. The four angles of a quadrilateral add to 360°.

Question 13: If the diagonals of a quadrilateral bisect each other at right angles, then it is a
(a) Trapezium
(b) Parallelogram
(c) Rectangle
(d) Rhombus
Show Answer & Explanation

Answer: (d) Rhombus

Explanation:
1. Bisecting diagonals make it a parallelogram.
2. Diagonals at right angles make the parallelogram a rhombus.

Teacher's Note:
1. A parallelogram with perpendicular diagonals is a rhombus.

Question 14: In a quadrilateral PQRS, ∠P = ∠R = 100° and ∠S = 75°. Then ∠Q =
(a) 50°
(b) 85°
(c) 120°
(d) 360°
Show Answer & Explanation

Answer: (b) 85°

Explanation:
1. ∠Q = 360° − (100° + 100° + 75°) = 85°.

Teacher's Note:
1. Use the angle sum 360°.

Free study material for Mathematics

Multiple Choice Questions (MCQs) for Class 9 Mathematics Chapter 08 Quadrilaterals

Class 9 Mathematics Chapter 08 Quadrilaterals Objective Test Questions

Review structured objective questions for Class 9 Mathematics Chapter 08 Quadrilaterals. Built according to official CBSE guidelines, these MCQ sets support daily revision and core concept reinforcement.

NCERT-Aligned Objective Questions and Solutions

Each question includes structured solution keys mapped directly to standard CBSE textbooks, helping students evaluate their reasoning and correct mistakes early in their revision.

Next Steps in Your Exam Preparation

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FAQs

Where can I access latest CBSE Class 9 Mathematics Quadrilaterals MCQs Set 09?

You can get most exhaustive CBSE Class 9 Mathematics Quadrilaterals MCQs Set 09 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 09 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 09, 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 09?

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.

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