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.
  • It has all the sides equal and opposite sides parallel.

Rhombus

  • It has all the sides equal and opposite sides parallel.

  • Diagonals bisect each other

  • Diagonals bisect vertex angles

  • Sum of Any Two Angles is 180 degree

Trapezium

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

Kite

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

  • The diagonals are perpendicular to one another.

  • One of the diagonals bisects the other.

Some Important Facts About Quadrilaterals

  • 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.

  1. 3 sides are an equilateral triangle
  2. 4 sides are square
  3. 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 Kinds of Quadrilaterals

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 3- Understanding Quadrilaterals

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

NCERT Solutions For Class 8: Subject-Wise

 

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