NCERT Solutions for Maths Class 8 Chapter 3 Exercise 3.1 - FREE PDF Download
NCERT Chapter 3 of Class 8 Maths, "Understanding Quadrilaterals," explores the properties and types of four-sided figures, including squares, rectangles, parallelograms, and rhombuses. Class 8 maths chapter 3 exercise 3.1 solutions introduces polygon concepts and helps students identify and classify different types of quadrilaterals.
Understanding class 8 Ex 3.1 problems is crucial for solving complex problems and developing a solid understanding of geometry. Vedantu's NCERT Class 8 Maths solutions provide clear explanations and step-by-step guidance.
Glance on NCERT Solutions Maths Chapter 3 Exercise 3.1 Class 8 | Vedantu
A convex quadrilateral is a quadrilateral where all interior angles are less than 180 degrees, meaning no internal angles bulge outwards.
Exercise 3.1 helps solidify understanding of various types of quadrilaterals and their properties.
Practice identifying and classifying quadrilaterals based on their shapes and angles.
Use the angle sum property and diagonal formulas effectively to solve problems.
NCERT class 8 maths exercise 3.1 solutions has 2 questions only.
Important Formulas Used in Class 8 Math Exercise 3.1
Sum of interior angles = $(n - 2) \times 180$
Number of Diagonals in a Polygon = $\dfrac{n(n−3)}{2}$
1. Given here are some figures,
Classify the following figures on the basis of the following
Simple curve
Ans: From the given figures, the figures with simple curves are figure1,2,5,6,7.
Simple closed curve
Ans: From the given figures, the figures with simple closed curves are figure 1,2,5,6,7.
Polygon
Ans: From the given figures, the figures that are polygons are figures 1,2.
Convex polygon
Ans: From the given figures, the figures that are convex polygon is figure 2.
Concave polygon
Ans: From the given figures, the figures that are concave polygon is figure 1.
2. What is a regular polygon?
State and name of a regular polygon of
(i) 3 sides
(ii) 4 sides
(iii) 6 sides
Ans: When a polygon has equal sides and equal angles, then we can say that the polygon is a regular polygon.
(i ) 3 sides
Ans: We know that a polygon with three equal sides and angles is an equilateral triangle
(ii) 4 sides
Ans: We know that a polygon with four equal sides and angles is a square
(iii) 6 sides
Ans: We know that a polygon with sic equal sides and equal angles is a regular hexagon
Conclusion
NCERT of Class 8 Maths Chapter 3.1, students explore the fundamental properties and classifications of quadrilaterals. This exercise lays the groundwork for understanding different types of quadrilaterals, such as parallelograms, rectangles, squares, rhombuses, and trapeziums. Students learn to identify quadrilaterals based on their sides, angles, and other properties. By solving class 8 maths Ex 3.1 problems in maths class 8 chapter 3 exercise 3.1, students gain practical skills in recognizing and working with quadrilaterals in various geometrical contexts.
Class 8 Maths Chapter 3: Exercises Breakdown
CBSE Class 8 Maths Chapter 3 Other Study Materials
Chapter-Specific NCERT Solutions for Class 8 Maths
Given below are the chapter-wise NCERT Solutions for Class 8 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Important Related Links for CBSE Class 8 Maths
FAQs on NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.1
1. What is Exercise 3.1 In Class 8 Maths Chapter 3 focused on?
Exercise 3.1 of Class 8 Maths Chapter 3 deals with the following topics
Introduction
Polygons
Classification of polygons
Diagonals
Convex and concave polygons
Regular and irregular polygons
Angle sum property
It is important that the student be thorough with all these concepts to be able to solve the questions present in the exercise. To attain guidance, they can refer to the NCERT Solutions. These solutions prepare the students to answer any question that might be asked from this chapter. They can easily download these exercises from the website of Vedantu.
2. What is a parallelogram and what are its properties?
A parallelogram falls under the category of a quadrilateral whose parallel sides are always parallel and equal to each other. It is also to be kept in mind that the diagonals of the parallelogram bisect one another.
The properties that the parallelogram presents are;
Its opposite sites are often equal as well as parallel to one another
Its opposite angles are often equal to each other
The diagonals of the parallelogram are seen to bisect each other.
3. Write down the classifications of a polygon?
A polygon encompasses within it a triangle, quadrilateral, pentagon, hexagon, octagon, nonagon, decagon, etc. All these shapes are termed polygons.
Diagonal
The line segment that plays the part of joining the two consecutive vertices of a polygon is named a diagonal.
Convex and Concave polygon
Any polygon that lacks a portion of its diagonals in its exterior is called a convex polygon. And any polygon that has its diagonals in its exterior is named a concave polygon.
Regular and irregular polygons
A polygon where all the angles, as well as all the sides, are of equal measure, then falls under the category of a regular polygon. A square is an example of such a polygon.
A polygon that has equal angles but lacks equal sides is called an irregular polygon. The rectangle is an example.
4. Are NCERT Solutions available for Class 8 Maths Chapter 3 Exercise 3.1?
Yes, the NCERT solutions for Class 8 Maths Chapter 3 Exercise 3.1 are easily accessible and can be downloaded from the Vedantu website and from the Vedantu app at free of cost. These solutions are devised by experts to cover all the requirements of the students. All the exercises in these solutions come with solved answers that make it easier for the student to grasp the concept. With regular practise of these exercises, the student will be easily able to answer any question that might be asked in the question paper from this particular chapter. Thus, in order to score high marks, it is important that the students refer to the NCERT Solutions.
5. How to prepare for Class 8 Maths Chapter 3?
This chapter requires one’s strong memory that is able to retain all the shapes and figures that fall under the category of a polygon, along with a good understanding of their properties. Therefore, before starting with the exercises, it is important that the student be thorough with all the concepts, properties and formulas that are needed to solve questions present in these exercises. Apart from this, the reference to the NCERT Solutions and the regular and persistent practice of the exercises will help polish and strengthen the skills of the student.
6. Are there any important formulas to remember for Exercise 3.1?
Yes, students should remember the basic properties of quadrilaterals, such as the sum of interior angles being 360 degrees and specific properties of parallelograms, rectangles, rhombuses, and squares.
7. What types of questions are included in Exercise 3.1?
Exercise 3.1 includes questions on identifying different quadrilaterals, understanding their properties, and solving problems related to angles and sides of quadrilaterals.
8. How frequently do questions from Exercise 3.1 appear in exams?
Questions from Exercise 3.1 are commonly asked in exams as they cover fundamental concepts of quadrilaterals, making it important for students to practice and understand these problems thoroughly.
