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CBSE Class 8 NCERT Maths Chapter 3 Solutions: Understanding Quadrilaterals
NCERT Solutions For Class 8 Maths Chapter 3: Chapter 3 is on Understanding Quadrilaterals. In this article, we will provide you with detailed NCERT Solutions for Maths Class 8 Chapter 3. All the solutions provided here are solved by the top academic experts at Embibe. Here, in this article, you can download Chapter 3 Maths Class 8 solutions in PDF format for free.
NCERT Solutions for Class 8 Maths are prepared to keep in mind the latest CBSE curriculum and NCERT textbook syllabus. With the help of these solutions, all your doubts regarding Understanding Quadrilaterals will be cleared. Read on to get Class 8 Maths Chapter 3 Notes.
Chapter 3: Understanding Quadrilaterals
Before we provide you with Class 8 Maths NCERT Solutions Chapter 3, let’s have an overview of the topics in this chapter. Click on any topic to download the solutions as a PDF.
| 3.1 | Introduction |
| 3.2 | Polygons |
| 3.3 | Sum of the Measures of the Exterior Angles of a Polygon |
| 3.4 | Kinds of Quadrilaterals |
| 3.5 | Some Special Parallelograms |
Also, Check:
Solved Exercises and In-Text Questions
Students can check Class 8 NCERT Solutions for Maths for each exercise and in-text questions on this page. Also, we have provided NCERT Class 8 Maths Chapter 3 PDF download link below these solutions:
NCERT Solutions for Class 8 Maths Chapter 3 PDF Download
Download CBSE Class 8 Solutions for Maths for other chapters from the table below:
- Chapter 1 – Rational Numbers
- 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 & Powers
- Chapter 13 – Direct and Inverse Proportions
- Chapter 14 – Factorization
- Chapter 15 – Introduction to Graphs
- Chapter 16 – Playing with Numbers
Chapter Summary
Let us start the summary of the Understanding Quadrilaterals chapter by reading a brief about Class 8 Maths Chapter 3 Introduction:
What is a curve?
It is a geometrical figure obtained by joining a number of points without lifting a pencil on paper.
Polygon: A simple closed curve made up of only line segments is called a polygon.
Polygons can be classified as follows:
|
Number of Sides or Vertices |
Classification |
|
3 |
Triangle |
|
4 |
Quadrilateral |
|
5 |
Pentagon |
|
6 |
Hexagon |
|
7 |
Heptagon |
|
8 |
Octagon |
|
9 |
Nonagon |
|
10 |
Decagon |
|
: |
: |
|
n |
n-gon |
What is a Quadrilateral?
A quadrilateral is a kind of polygon. It has four sides and four vertices. The sum of all angles of a quadrilateral is 360o.
Kinds of Quadrilaterals
The quadrilaterals can be classified into different types according to the nature of sides and its angles. Different kinds of quadrilaterals are as follows:
- Trapezium: It is a quadrilateral with a pair of parallel sides.
2. Kite: Kite is a special type of quadrilateral. The sides with the same markings in each figure are equal. For example AB = AD and BC = CD.
3. Parallelogram: It is a quadrilateral with opposite sides parallel. The opposite sides of the parallelogram are of equal length.
Special Types of Parallelogram:
- Rhombus
- Rectangle
- Square
In the Understanding Quadrilaterals chapter, you will further study angle sum property, interior angles, exterior angles, about different angles and sides which will help you to distinguish between different quadrilaterals, and method to find their areas and different angles.
Preparation Tips
The preparation tips for the Chapter: Understanding Quadrilaterals will help the students to prepare systematically for this chapter. The tips are as follows:
- Always read the introduction of the chapter. It generally talks about how we can relate the topic to our daily lives.
- Read the concepts/ rules or properties carefully. Solve all the solved examples given before each exercise.
- While practising from the solved examples, do not read to understand the solutions, practice them in a separate notebook.
- Do not try to learn the solutions, understand the concepts well there can be several ways to ask a single question.
- Study and practice regularly.
- Do not skip any day without studying Mathematics.
- After completing the Class 8 Maths Chapter 3 questions from the NCERT book, solve Maths problems from the mock tests, sample papers or previous year papers as well. It will help in developing confidence for each topic.
FAQs on NCERT Maths Class 8 Chapter 3
Here we have provided some of the frequently asked questions related to Maths NCERT Solutions Class 8 Chapter 3:
Q1: What is a regular polygon? State the name of a regular polygon of:
(i) 3 sides
(ii) 4 sides
(iii) 6 sides
(i) 3 sides
(ii) 4 sides
(iii) 6 sides
A: Regular polygon: A polygon having sides of equal length and angles of equal measures is called a regular polygon. i.e., A regular polygon is both equilateral and equiangular.
(i) A regular polygon of 3 sides is called an equilateral triangle.
(ii) A regular polygon of 4 sides is called a square.
(iii) A regular polygon of 6 sides is called a regular hexagon.
Q2: Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
What can you say about the angle sum of a convex polygon with number of sides?
(a) 7
(b) 8
(c) 10
(d) n
A: The angle sum of a polygon having side n = (n – 2) × 180°
a) 7
Here, n = 7
Thus, angle sum = (7-2)×180° = 5×180° = 900°
b) 8
Here, n = 8
Thus, angle sum = (8-2)×180° = 6×180° = 1080°
c) 10
Here, n = 10
Thus, angle sum = (10-2)×180° = 8×180° = 1440°
d) n
Here, n = n
Thus, angle sum = (n-2)×180°
Q3: How many sides does a regular polygon have if the measure of an exterior angle is 24°?
A: Each exterior angle = sum of exterior angles/Number of angles
24°= 360/ Number of sides
⇒ Number of sides = 360/24 = 15
Thus, the regular polygon has 15 sides.
Q3: Find the angle measure x in the following figures.
A: a) The figure is having 4 sides. Hence, it is a quadrilateral. Sum of angles of the quadrilateral = 360°
⇒ 50° + 130° + 120° + x = 360°
⇒ 300° + x = 360°
⇒ x = 360° – 300° = 60°
b) The figure is having 4 sides. Hence, it is a quadrilateral. Also, one side is perpendicular forming a right angle.
Sum of angles of the quadrilateral = 360°
⇒ 90° + 70° + 60° + x = 360°
⇒ 220° + x = 360°
⇒ x = 360° – 220° = 140°
c) The figure is having 5 sides. Hence, it is a pentagon.
Sum of angles of the pentagon = 540°. Two angles at the bottom are linear pairs.
∴ 180° – 70° = 110°
180° – 60° = 120°
⇒ 30° + 110° + 120° + x + x = 540°
⇒ 260° + 2x = 540°
⇒ 2x = 540° – 260° = 280°
⇒ 2x = 280°
= 140°
Q4. How can I get the best grade in Class 8 Maths?
A. Tips to score better for Class 8 CBSE Maths Exam
Create a List of Important Concepts.
Clear doubts about the chapter.
Refer to NCERT books and solutions on Embibe.
Practice former question papers.
Prepare according to the subject.
Q5. How can I get the best grade in Class 8 Maths?
A. Tips to score better for Class 8 CBSE Maths Exam
Create a List of Important Concepts.
Clear doubts about the chapter.
Refer to NCERT books and solutions on Embibe.
Practice former question papers.
Prepare according to the subject.
Q6: a) Is it possible to have a regular polygon with a measure of each exterior angle as 22°?
b) Can it be an interior angle of a regular polygon? Why?
b) Can it be an interior angle of a regular polygon? Why?
A: a) Exterior angle = 22°
Number of sides = sum of exterior angles/ exterior angle
⇒ Number of sides = 360/22 = 16.36
No, we can’t have a regular polygon with each exterior angle as 22° as it is not a divisor of 360.
b) Interior angle = 22°
Exterior angle = 180° – 22°= 158°
No, we can’t have a regular polygon with each exterior angle as 158° as it is not a divisor of 360.
Attempt 8th CBSE Exam Mock Tests
TAKE FREE CLASS 8 MATHS MOCK TEST FOR CHAPTER 3
You can solve the free CBSE Class 8 practice questions on Embibe for Mathematics and Science. You can also take CBSE Class 8 Mock Tests for these subjects. These will be of great help to you.
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