# Quadrilaterals MCQ Class 9 Mathematics

Please refer to Chapter 8 Quadrilaterals MCQ Class 9 Mathematics with answers below. These multiple-choice questions have been prepared based on the latest NCERT book for Class 9 Mathematics. Students should refer to MCQ Questions for Class 9 Mathematics with Answers to score more marks in Grade 9 Mathematics exams. Students should read the chapter Quadrilaterals and then attempt the following objective questions.

**MCQ Questions Class 9 Mathematics Chapter 8 Quadrilaterals**

The Quadrilaterals MCQ Class 9 Mathematics provided below covers all important topics given in this chapter. These MCQs will help you to properly prepare for exams.

**Question. In parallelogram ABCD, ∠DAB = 70°, ∠DBC = 70°, then ∠CDB is equal to **

(a) 40°

(b) 60°°

(c) 70°

(d) 30°

**Answer**

A

**Question. In the adjoining figure, PQRS is a parallelogram in which PQ is produced to T such that QT = PQ. Then, OQ is equal to**

(a) OS

(b) OR

(c) OT

(d) None of these

**Answer**

B

**Question. A blackboard is in the shape of a **

(a) Parallelogram

(b) Rhombus

(c) Rectangle

(d) Kite

**Answer**

C

**Question. If M and N are the mid-points of non parallel sides of a trapezium PQRS, then which of the following conditions is/are true? **

(a) MN || PQ

(b) MN = 1/2 (PQ + RS)

(c) MN = 1/2 (PQ – RS)

(d) Both (a) and(b)

**Answer**

D

**Question. In the adjoining figure, ABCD is a square. A line segment DX cuts the side BC at X and the diagonal AC at O such that ∠COD = 105° and ∠OXC = x°. Find the value of x.**

(a) 75°

(b) 80°

(c) 60°

(d) 45°

**Answer**

C

**Question. The measure of all the angles of a parallelogram, if an angle is 24° less than twice the smallest angle, is**

(a) 37°, 143°, 37°, 143°

(b) 108°, 72°, 108°, 72°

(c) 68°, 112°, 68°, 112°

(d) None of these

**Answer**

C

**Question. How many angles are there in a quadrilateral?**

(a) 4

(b) 2

(c) 1

(d) 3

**Answer**

A

**Question. The triangle formed by joining the midpoints of the sides of an equilateral triangle is**

(a) scalene

(b) right angled

(c) equilateral

(d) isosceles

**Answer**

C

**Question. In a quadrilateral ABCD, ∠A + ∠C is 2 times ∠B + ∠D. If ∠A = 140° and ∠D = 60°, then ∠B = **

(a) 60°

(b) 80°

(c) 120°

(d) None of these

**Answer**

A

**Question. In the given figure, ABCD is a parallelogram, what is the sum of the angles x, y and z? **

(a) 180°

(b) 45°

(c) 60°

(d) 90°

**Answer**

A

**Question. Which of the following is not true?**

(a) The diagonals of a rectangle are equal.

(b) Diagonals of a square are equal.

(c) Diagonals of a parallelogram are not always equal.

(d) Diagonals of a kite are equal.

**Answer**

D

**Question. Which type of quadrilateral is formed when the angles A, B, C and D are in the ratio 2 : 4 : 5 : 7 ?**

(a) Rhombus

(b) Square

(c) Trapezium

(d) Rectangle

**Answer**

C

**Question. In a parallelogram ABCD, if ∠A = 75°, then the measure of ∠B is**

(a) 10°

(b) 20°

(c) 105°

(d) 90°

**Answer**

C

**Question. The triangle formed by joining the midpoints of the sides of a right angled triangle is**

(a) scalene

(b) isosceles

(c) equilateral

(d) right angled

**Answer**

D

**Question. The angle between the diagonals of a rhombus is**

(a) 45°

(b) 90°

(c) 30°

(d) 60°

**Answer**

B

**Case Based MCQs**

**Read the following passage and answer the questions**

Anjali and Meena were trying to prove mid point theorem. They draw a triangle ABC, where D and E are found to be the midpoints of AB and AC respectively. DE was joined and extended to F such that

DE = EF and FC is also joined.

**Question. ∠ECF is equal to which angle?**

(a) ∠EAD

(b) ∠ADE

(c) ∠AED

(d) ∠B

**Answer**

A

**Question. CF is parallel to**

(a) AE

(b) CE

(c) BD

(d) AC

**Answer**

C

**Question. ΔADE and ΔCFE are congruent by which criterion?**

(a) SSS

(b) SAS

(c) RHS

(d) ASA

**Answer**

B

**Question. CF is equal to**

(a) EC

(b) BE

(c) BC

(d) AD

**Answer**

D

**Question. ∠EFC is equal to which angle?**

(a) ∠DAE

(b) ∠EDA

(c) ∠AED

(d) ∠DBC

**Answer**

B

**Read the following passage and answer the questions**

After summervacation, Manit’s class teacher organised a small MCQ quiz, based on the properties of quadrilaterals.

During quiz, she asks different questions to students.

Some of the questions are listed below.

**Question. If AX and CY are the bisectors of the angles A and C of a parallelogram ABCD, then **

(a) AX || CY

(b) AX || CD

(c) AX || AB

(d) None of these

**Answer**

A

**Question. Which of the following is/are the condition(s) for ABCD to be a quadrilateral?**

(a) The four points A, B, C and D must be distinct and co-planar.

(b) No three of points A, B, C and D are collinear.

(c) Line segments i.e., AB, BC, CD, DA intersect at their end points only.

(d) All of these

**Answer**

D

**Question. If angles of a quadrilateral are in ratio 3 : 5 : 5 : 7, then find all the angles.**

(a) 54°, 80°, 80°, 146°

(b) 34°, 100°, 100°, 126°

(c) 54°, 90°, 90°, 126°

(d) None of these

**Answer**

C

**Question. Which of the following is wrong condition for a quadrilateral said to be a parallelogram?**

(a) Opposite sides are equal

(b) Opposite angles are equal

(c) Diagonal can’t bisect each other

(d) None of these

**Answer**

C

**Question. ABCD and AEFG are two parallelograms. If ∠C = 63°, then determine ∠G. **

(a) 63°

(b) 117°

(c) 90°

(d) 120°

**Answer**

B