## NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals

In class 8 the Maths started to get difficult and the fear of students started to increase. Also, they do not understand things and do not know how to resolve this issue. Toppr’s NCERT Solutions for Class 8 Maths Chapter 3 will help them in understanding this Chapter. Also, the solution is the breakdown of the content of the textbook. Apart from that, the solutions contain the details of the chapter and solved questions of the exercise.

The NCERT Solutions for Class 8 Maths Chapter 3 is available at Toppr in PDF format. Also, it is free to download so you do not have to spend money on buying it. Furthermore, the solution will help you to quickly clutch the formulas and ideas of the Chapter. Besides, the NCERT Solutions for Class 8 Maths Chapter 3 cracked by a team of expert mathematicians and if you have any doubt then you can clear it from them.

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**CBSE NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals**

This chapter will teach you about the basics of polygons, quadrilaterals, kinds of Quadrilaterals and polygons, and how to measure the external angles of Polygons. Also, the chapter deals with the properties of quadrilateral and polygons. Apart from that, the shapes are explained in an easy language with diagrams as examples.

In addition, the main topics covered in this chapter are Polygons and its classification, diagonals, and concave and convex polygons. Also, the chapter covers Quadrilaterals, Rhombus, Square, Rectangles, etc.

NCERT Solutions for Class 8 Maths Chapter 3 will help you to understand all these topics with ease and comfort of your chair or study table. Above all, for getting good marks and improving your score use Toppr’s solution they will prove quite handy. Besides, the Chapter is summarized by our expert in such a manner that you can without difficulty go through them.

**Exercises under Class 8 Maths Chapter 3 – Understanding Quadrilaterals**

- Ex. 3.1. Introduction
- Ex. 3.2. Polygons
- Ex. 3.3. Sum of measures of Exterior angles of Polygon
- Ex. 3.4 Trapezium
- Ex. 3.5 Some special parallelograms – Rhombus, Square, Rectangle

**Sub-topics covered under NCERT Solutions for Class 8 Maths Chapter 3**

**3.1 Introduction – **In this exercise, we will describe which figure are called quadrilaterals.

**3.2 Polygons** – This exercise tells which figures are known as polygons.

**3.2.1 Classification of Polygons** – In this exercise, you will learn about different types of polygons.

**3.2.2 Diagonals – **This exercise refers to the distance between the opposite ends.

**3.2.3 Convex and Concave Polygons – **Describe concave and convex Polygons.

**3.2.4 Regular and Irregular Polygons-** Describe regular and irregular Polygons.

**3.2.5 Angle sum property-** Tells what angles form in polygon and their property.

**3.3 Sum of the Measures of the Exterior Angles of a Polygon-** Defines the outer angles of polygons.

**3.4 Kinds of Quadrilaterals-** Describes different types of Quadrilaterals.

**3.4.1 Trapezium-** Defines what is trapezium and its properties.

**3.4.2 Kite-** Describe this type of quadrilaterals.

**3.4.3 Parallelogram-** Defines what is a parallelogram.

**3.4.4 Elements of Parallelogram-** Describes the fundamental properties of Parallelogram.

**3.4.5 Angles of Parallelogram-** Tells what angles form in a Parallelogram?

**3.4.6 Diagonal of Parallelogram-** Defines the relation of diagonals of a parallelogram.

**3.5 Some special Parallelogram-** Tells about some special parallelogram.

**3.5.1 Rhombus-** Defines what is rhombus and its properties.

**3.5.2 A Rectangle-** Tells about the rectangle and its properties.

**3.5.3 A Square-** Describe squares and their properties.

**Some questions from NCERT Solutions for Class 8 Maths Chapter 3 **

**Q.1. State whether True or False. **

**(a) All rectangles are squares. **

**(b) All rhombuses are parallelograms. **

**(c) All squares are rhombuses and also rectangles. **

**(d) All squares are not parallelograms. **

**(e) All kites are rhombuses. **

**(f) All rhombuses are kites. **

**(g) All parallelograms are trapeziums. **

**(h) All squares are trapeziums. **

**Solution **

(a) False

All squares are rectangles.

(All sides of the rectangle are not equal).

(b) True

Opposite sides are equal and parallel.

(c) True

All sides of the rhombus are equal

∴ All squares are rhombuses.

All squares are also rectangles as each interval angle measure 90 ∘

(d) False

All squares are parallelogram as opposite sides are equal and parallel.

(e) False

Kite has different lengths.

(f) True

Rhombus also has two distinct consecutive pairs of sides of equal length.

(g) True

Parallelogram pair of parallel sides.

(h) True

All squares have a pair of parallel sides.

**Q.2. Identify all the quadrilaterals that have **

**(a) four sides of equal length **

**(b) four right angles **

**Solution **

(a) Quadrilaterals that have four sides of equal length are Rhombus and squares.

(b) Quadrilaterals that have four right angles are Rectangle and squares.

**Q.3. Explain how a square is: **

**(i) a quadrilateral (ii) a parallelogram (iii) a rhombus (iv) a rectangle **

**Solution **

(a) A quadrilateral has four sides

(b) A parallelogram’s opposite sides are parallel.

(c) A rhombus’s four sides are of same length

(d) A rectangle’s interior angles are equal to 90 ∘.

All of these properties are followed by Square.

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