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NCERT Class 8 Solutions for Maths Chapter 3 Understanding Quadrilaterals

NCERT Class 8 Solutions for Maths Chapter 3 Understanding Quadrilaterals are your best study guide when it comes to exam preparations. askIITians Maths experts have created these solutions to help you understand the concepts introduced in this chapter. If you have any doubts about solving the exercises of the chapter, you can refer to our free NCERT Solutions and identify your mistakes. We have also ensured that every NCERT question for Understanding Quadrilaterals is solved in a stepwise manner to enhance your knowledge and conceptual understanding. 

There are 4 exercises in this chapter with 31 questions in the NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals. These exercises are based on topics like plane and curved surfaces, polygons, classification of polygons, diagonals, convex and concave polygons, regular and irregular polygons, angle sum property, and the sum of measures of exterior angles of a polygon. The NCERT solutions also include solutions related to topics like different kinds of quadrilaterals and their properties. 

About NCERT Class 8 Solutions for Maths Chapter 3 Understanding Quadrilaterals

The NCERT Class 8 Maths Solutions for Chapter 3 Understanding Quadrilaterals are based on different topics. You must first understand the topics discussed in the chapter before you start solving the NCERT exercises of the chapter:

  • A simple closed curve made up of only line segments is called a polygon.
  • Polygons can be classified based on the number of sides such as triangle has 3 sides, quadrilateral has 4 sides, heptagon has 7 sides, the rectangle has 4 sides and so on. 
  • A diagonal is a line segment connecting two non-consecutive vertices of a polygon. 
  • A convex polygon is a closed figure where all its interior angles are less than 180° and the vertices are pointing outwards. 
  • A Concave polygon is a polygon that has at least one interior angle greater than 180°.
  • A regular polygon is one in which all angles are equal in measure and all sides have the same length.
  • Irregular polygons are the ones that do not have their sides equal in length and the angles are also unequal in measure. 
  • Angle Sum Property: The sum of all the four angles of a quadrilateral is 360°. 
  • The interior angles in a regular polygon are always equal to each other. Sum of interior angles = (n − 2) × 180° where 'n' = the number of sides of a polygon.

Different Types of Quadrilaterals and their Properties

Quadrilateral 

Properties 

Parallelogram: 

A quadrilateral with each pair of opposite sides parallel.
  1. Opposite sides are equal.
  2. Opposite angles are equal.
  3. Diagonals bisect one another.

Rhombus:

A parallelogram with sides of equal length.
  1. All the properties of a parallelogram.
  2. Diagonals are perpendicular to each other.

Rectangle:

A parallelogram with a right angle.
  1. All the properties of a parallelogram.
  2. Each of the angles is a right angle.
  3. Diagonals are equal.

Square:

 A rectangle with sides of equal length.

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

Kite: 

A quadrilateral with exactly two pairs of equal consecutive sides
  1. The diagonals are perpendicular to one another.
  2. One of the diagonals bisects the other.
  3. In a kite ABCD, m∠B = m∠D but m∠A ≠ m∠C.

Download NCERT Class 8 Solutions for Maths Chapter 3 Understanding Quadrilaterals

Chapter 3 Understanding Quadrilaterals include 4 exercises each of which is solved in our NCERT Solutions. All these Solutions are based on the latest CBSE exam pattern and syllabus so that you can prepare for your exams well. Download our NCERT Solutions for all exercises of Chapter 3 Understanding Quadrilaterals from the links given below:

NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.1 - 7 Questions 

NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.2 - 6 Questions 

NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.3 - 12 Questions 

NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.4 - 6 Questions 

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.1

The first exercise of this chapter is based on classifying the given figures as a simple curve, simple closed curve, polygon, convex polygon, and concave polygon. You also have to state how many diagonals do each of the following. You need to apply the angle sum property in some of the questions. 

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.2

The second exercise of Understanding Quadrilaterals is based on the property that the interior angles in a regular polygon are always equal to each other. There are just 6 questions in this exercise but all of them are important from the exam perspective. Check our NCERT Solutions for Class 8 Maths Chapter 3 to understand how to solve the questions of this exercise. 

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.3

The third exercise of this chapter is based on different kinds of quadrilaterals and their properties. There are 12 questions in this exercise. We have already given a table describing all the quadrilaterals and their properties. Read them carefully before starting this exercise. Rest, you can check our NCERT free Solutions for this exercise and check how to solve every question correctly. 

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 

The fourth exercise of Understanding Quadrilaterals in Class 8 Maths is based on special parallelograms and their properties like rhombus, rectangle, and square. There are just 6 questions in this exercise but again, all are important for you. There are the long answer as well as short answer type questions given in the exercise that we have elaborated in our NCERT Solutions. 

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals FAQs

  1. How to use the NCERT Solutions for Class 8 Maths Understanding Quadrilaterals? 

You must first try to solve the exercise questions by yourself. If you face any problems, you can refer to our solved NCERT exercise questions and understand how to find the solution to every question. You can download the solutions for free and use them whenever you want. 

  1. Are all exercises of Understanding Quadrilaterals important? 

Yes, every exercise of this chapter is important from the exam perspective. So you must solve all questions carefully and understand the technique used to find the answers. If you need any further help, the askIITians team is here to help. 

  1. Can I also get some extra questions related to Understanding Quadrilaterals chapter? 

Yes, we have compiled a list of important extra questions based on the latest CBSE exam pattern and syllabus for the Understanding Quadrilaterals chapter. Download them from our website and start practising them. 


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