# Class 9 Maths MCQ – Quadrilaterals

This set of Class 9 Maths Chapter 8 Multiple Choice Questions & Answers (MCQs) focuses on “Quadrilaterals”. These MCQs are created based on the latest CBSE syllabus and the NCERT curriculum, offering valuable assistance for exam preparation.

1. If three out of four points are collinear, we get __________
a) line
b) square
c) triangle
d) rectangle

Explanation: As shown in figure, out of four points A, B, C and D, three points A, B and C are collinear and we get a triangle.

a) one
b) two
c) three
d) four

Explanation: A figure formed by joining four points is called quadrilateral as shown in the diagram. It also has four sides (AB, BC, CD and AD) and four angles (∠A, ∠B,∠C and ∠D).

3. The sum of four angles of quadrilateral is equal to __________
a) 90°
b) 360°
c) 180°
d) 270°

Explanation: Let’s take a quadrilateral as shown in figure. By dividing it diagonally, we can see that it breaks into two triangles.

We know that sum of three angles of any triangle is equal to 180°.
Hence, ∠QPR + ∠Q + ∠QRP = 180° and ∠SPR + ∠S + ∠PRS = 180°.
Now to get the sum of four angles of quadrilateral,
∠P + ∠Q + ∠R + ∠S = (∠QPR + ∠SPR) + ∠Q + (∠QRP + ∠PRS) + ∠S
= (∠QPR + ∠Q + ∠QRP) + (∠SPR + ∠S + ∠PRS)
= 180° + 180°
= 360°

4. A rectangle is a parallelogram.
a) True
b) False

Explanation: A quadrilateral is said to be parallelogram if the opposite sides of it are parallel as shown in below diagram.

In rectangle, opposite sides are parallel and four angles are right angles as shown in below diagram. Hence, a rectangle has all the properties of a parallelogram.

More MCQs on Class 9 Maths Chapter 8:

Sanfoundry Certification Contest of the Month is Live. 100+ Subjects. Participate Now!

To practice all chapters and topics of class 9 Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]