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

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

In this chapter, we are going to learn the properties of different types of quadrilaterals like Parallelogram, Rectangle, Square, Rhombus, and Trapezium. To develop a grip on the topic, the NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals are prepared and explained by the maths experts. The main topics which we are going to learn polygons, angle sum property, properties of different kinds of quadrilaterals.

Quadrilateral basically a closed shape made by using 4 straight lines and having four connecting points. A quadrilateral can be formed with different-different lengths of straight lines. Quadrilaterals have some properties like- a quadrilateral always has four interior angles, a quadrilateral always has four sides, and the sum of all the interior angles in a quadrilateral is 360 degree. Quadrilaterals are classified as per the measurement of lengths and interior angles. In NCERT Class 8 Maths Chapter 3 Understanding Quadrilaterals we learn following types of quadrilaterals.

## Parallelogram

• This quadrilateral has opposite sides equal and parallel.

• Sum of opposite Angles are equal

• Diagonals bisect each other

## Rectangle

• It has all the angles right angles.

• This quadrilateral have opposite sides equal and parallel

• Diagonals are equal.

Square

• ## It has all the angles right angles.

• All the properties of a parallelogram, rhombus and a rectangle.

## Trapezium

• Two opposite sides are parallel and the other two are unparalleled.

## Kite

• A quadrilateral exactly two pairs of equal consecutive with sides.

• ## One of the diagonals bisects the other.

• All the rectangles are parallelograms

• All rhombuses are parallelograms

• All Squares are Rectangles

• All squares are rhombuses

Here we are providing you NCERT Solutions for Class 8 Maths Chapter 3 - Understanding Quadrilaterals to understand the concept to tackle all the problems based on quadrilaterals. It’s really an important segment under geometry without the concept of this topic your efficiency to crack the geometry problem will downfall and thus we request you to give an attentive approach while going through this chapter. Because it carries around 35% of the content of geometry. NCERT Solutions for Class 8 Maths Chapter 3 will give you a detailed analysis of all the question based on NCERT for Class 8 Maths Chapter 3 - Understanding Quadrilaterals. In this chapter, there are 4 exercises with 31 questions.

 Que. What is a regular polygon? State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6 sides Solution- Polygon which has equal sides and equal angles. 3 sides are an equilateral triangle 4 sides are square 6 sides are a regular hexagon

## Topics of NCERT for Class 8 Maths Chapter 3 - Understanding Quadrilaterals

3.1 Introduction

3.2 Polygons

3.2.1 Classification of polygons

3.2.2 Diagonals

3.2.3 Convex and concave polygons

3.2.4 Regular and irregular polygons

3.2.5 Angle sum property

3.3 Sum of the Measures of the Exterior Angles of a Polygon

3.4.1 Trapezium

3.4.2 Kite

3.4.3 Parallelogram

3.4.4 Elements of a parallelogram

3.4.5 Angles of a parallelogram

3.4.6 Diagonals of a parallelogram

3.5 Some Special Parallelograms

3.5.1 Rhombus

3.5.2 A rectangle

3.5.3 A square

## NCERT Solutions For Class 8 Maths- Chapter-wise

 Chapter -1 Rational Number Chapter -2 Linear Equations in One Variable Chapter-4 Practical Geometry Chapter-5 Data Handling Chapter-6 Squares and Square Roots Chapter-7 Cubes and Cube Roots Chapter-8 Comparing Quantities Chapter-9 Algebraic Expressions and Identities Chapter-10 Visualizing Solid Shapes Chapter-11 Mensuration Chapter-12 Exponents and Powers Chapter-13 Direct and Inverse Proportions Chapter-14 Factorization Chapter-15 Introduction to Graphs Chapter-16 Playing with Numbers