NCERT Solutions for Class 8 Maths Chapter 3- Understanding Quadrilaterals

NCERT Solutions For Class 8 Maths Chapter 3 PDF Free Download

NCERT Solutions for Class 10 Maths, Chapter 3- Understanding Quadrilaterals, are provided here, which can be downloaded for free in PDF format. The NCERT Solutions for chapter Understanding Quadrilaterals are prepared by the mathematics experts at BYJU’S, keeping the examination point of view in mind.

These solutions are prepared by subject matter experts at BYJU’S, describing the complete method of solving problems. By understanding the concepts used in NCERT Solutions for Class 8, students will be able to clear all their doubts related to “Understanding Quadrilaterals”.

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NCERT Solutions for CBSE class 8 Chapter 3 Understanding Quadrilaterals part 01
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NCERT Solutions for Class 8 Maths Chapter 3- Understanding Quadrilaterals

The chapter deals with the concept of ratios and percentages, along with other main topics and concepts.

The major concepts covered in this chapter includes:

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 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

Exercise 3.1 Solutions 7 Questions (1 Long Answer Questions, 6 Short Answer Questions)

Exercise 3.2 Solutions 6 Questions (6 Short Answer Questions)

Exercise 3.3 Solutions 12 Questions (6 Long Answer Questions, 6 Short Answer Questions)

Exercise 3.4 Solutions 6 Questions (1 Long Answer Questions, 5 Short Answer Questions)

NCERT Solutions for Class 8 Maths Chapter 3- Understanding Quadrilaterals

The Chapter 3 of NCERT Solutions for Class 8 Maths helps you understand the fundamental concepts related to quadrilaterals. From explanation of quadrilaterals to different types of quadrilaterals, the chapter mainly discusses the following concepts:

  1. Parallelogram: A quadrilateral with each pair of opposite sides parallel.
  2. Properties: Opposite sides are equal.

    Opposite angles are equal.

    Diagonals bisect one another

  3. Rhombus: A parallelogram with sides of equal length.
  4. Properties: All the properties of a parallelogram.

    Diagonals are perpendicular to each other

  5. Rectangle: A parallelogram with a right angle.
  6. Properties: All the properties of a parallelogram.

    Each of the angles is a right angle.

    Diagonals are equal.

  7. Square: A rectangle with sides of equal length.
  8. Properties: All the properties of a parallelogram, rhombus and a rectangle.

  9. Kite: A quadrilateral with exactly two pairs of equal consecutive sides
  10. Properties: The diagonals are perpendicular to one another

    One of the diagonals bisects the other.

Key Features of NCERT Solutions for Class 8 Maths Chapter 3- Understanding Quadrilaterals

Learning the chapter Understanding Quadrilaterals enables the students to:

  • Understanding shapes:
    • Properties of quadrilaterals: Sum of angles of a quadrilateral is equal to 360o
    • Properties of parallelogram: Opposite sides of a parallelogram are equal, Opposite angles of a parallelogram are equal.
    • Diagonals of a parallelogram bisect each other.
    • Diagonals of a rectangle are equal and bisect each other.
    • Diagonals of a rhombus bisect each other at right angles.
    • Diagonals of a square are equal and bisect each other at right angles.