Mathematics Questions and Answers – Quadrilaterals Basics

This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Quadrilaterals Basics”.

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

Answer: c
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.

2. Quadrilateral has __________ sides.
a) one
b) two
c) three
d) four
View Answer

Answer: d
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°
View Answer

Answer: b
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
View Answer

Answer: a
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.

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

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