CBSE Class 9 Mathematics Quadrilaterals MCQs Set 11

Download CBSE 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.

Chapter-wise Objective Questions: Chapter 08 Quadrilaterals

Navigate directly to the 50 objective questions for Chapter 08 Quadrilaterals using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: In a parallelogram ABCD, \(\angle D = 105^\circ\). Then \(\angle A\) and \(\angle B\) are
(a) 75°, 105°
(b) 105°, 75°
(c) 75°, 75°
(d) 105°, 105°
Show Answer & Explanation

Answer: (a) 75°, 105°

Explanation:
1. Adjacent angles of a parallelogram are supplementary: \(\angle A = 180^\circ - 105^\circ = 75^\circ\).
2. Opposite angles are equal: \(\angle B = \angle D = 105^\circ\).

Teacher's Note:
1. Adjacent angles add to 180°.
2. Opposite angles are equal.

Question 2: The diagonals AC and BD of a parallelogram ABCD meet at O. If AC = 12.8 cm and BD = 7.6 cm, then OC and OD are respectively
(a) 3.8 cm, 3.2 cm
(b) 1.9 cm, 6.4 cm
(c) 3.8 cm, 6.4 cm
(d) 6.4 cm, 3.8 cm
Show Answer & Explanation

Answer: (d) 6.4 cm, 3.8 cm

Explanation:
1. The diagonals of a parallelogram bisect each other.
2. OC = 12.8 ÷ 2 = 6.4 cm and OD = 7.6 ÷ 2 = 3.8 cm.

Teacher's Note:
1. Diagonals bisect each other at O.
2. Keep the order of the two answers as asked.

Question 3: Two opposite angles of a parallelogram are \((3x - 2)^\circ\) and \((50 - x)^\circ\). The value of x is
(a) 16
(b) 13
(c) 15
(d) 17
Show Answer & Explanation

Answer: (b) 13

Explanation:
1. Opposite angles are equal, so 3x − 2 = 50 − x.
2. 4x = 52, so x = 13.

Teacher's Note:
1. Set the two opposite angles equal.
2. Check: both angles are 37°.

Question 4: When the diagonals of a parallelogram are perpendicular to each other, it is called a
(a) rhombus
(b) square
(c) rectangle
(d) trapezium
Show Answer & Explanation

Answer: (a) rhombus

Explanation:
1. A parallelogram whose diagonals cut at right angles has all four sides equal.
2. Such a parallelogram is a rhombus.

Teacher's Note:
1. Rhombus: diagonals perpendicular. Rectangle: diagonals equal.
2. A square has both properties.

Question 5: In a parallelogram ABCD, E is the mid-point of side BC. DE and AB, when produced, meet at F. Then
(a) AF = 2AB
(b) AF = 3AB
(c) AF = AB
(d) AF = 4AB
Show Answer & Explanation

Answer: (a) AF = 2AB

Explanation:
1. Triangles DEC and FEB are congruent (E is the mid-point of BC, vertically opposite angles, and AB \(\parallel\) DC), so BF = DC.
2. Since DC = AB, BF = AB.
3. So AF = AB + BF = 2AB.

Teacher's Note:
1. Congruent triangles give BF = DC = AB.
2. Add BF to AB to get AF.

Question 6: ABCD is a rhombus with \(\angle ABC = 56^\circ\). Then \(\angle ACD\) is
(a) 62°
(b) 34°
(c) 56°
(d) 124°
Show Answer & Explanation

Answer: (a) 62°

Explanation:
1. \(\angle BCD = 180^\circ - 56^\circ = 124^\circ\).
2. The diagonal AC bisects the angle at C of a rhombus, so \(\angle ACD = 124^\circ \div 2 = 62^\circ\).

Teacher's Note:
1. Diagonals of a rhombus bisect its angles.
2. Find the angle at C first.

Question 7: In triangle ABC, P, Q and R are the mid-points of BC, CA and AB respectively. If AC = 16 cm, BC = 20 cm and AB = 24 cm, the perimeter of quadrilateral ARPQ is
(a) 30 cm
(b) 40 cm
(c) 60 cm
(d) 20 cm
Show Answer & Explanation

Answer: (b) 40 cm

Explanation:
1. AR = AB ÷ 2 = 12 cm and AQ = AC ÷ 2 = 8 cm.
2. By the mid-point theorem RP = AC ÷ 2 = 8 cm and PQ = AB ÷ 2 = 12 cm.
3. Perimeter = 12 + 8 + 12 + 8 = 40 cm.

Teacher's Note:
1. ARPQ is a parallelogram.
2. Use the mid-point theorem for RP and PQ.

Question 8: LMNO is a trapezium with LM \(\parallel\) NO. P and Q are the mid-points of LO and MN. If LM = 5 cm and ON = 10 cm, then PQ =
(a) 2.5 cm
(b) 7.5 cm
(c) 15 cm
(d) 5 cm
Show Answer & Explanation

Answer: (b) 7.5 cm

Explanation:
1. The segment joining the mid-points of the non-parallel sides is parallel to the bases and half their sum.
2. PQ = (5 + 10) ÷ 2 = 7.5 cm.

Teacher's Note:
1. Mid-segment of a trapezium = half the sum of the parallel sides.
2. It is parallel to both bases.

Question 9: In an isosceles trapezium ABCD with AB \(\parallel\) DC, \(\angle A = 45^\circ\). Then \(\angle C\) is
(a) 45°
(b) 90°
(c) 180°
(d) 135°
Show Answer & Explanation

Answer: (d) 135°

Explanation:
1. Angles on the same leg are supplementary: \(\angle D = 180^\circ - 45^\circ = 135^\circ\).
2. In an isosceles trapezium base angles are equal, so \(\angle C = \angle D = 135^\circ\).

Teacher's Note:
1. Base angles of an isosceles trapezium are equal.
2. Angles on one leg add to 180°.

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

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 11?

You can get most exhaustive CBSE Class 9 Mathematics Quadrilaterals MCQs Set 11 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 11 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 11, 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 11?

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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