NCERT Solutions: Understanding Quadrilaterals Exercise 3.1 Class 8 Maths

NCERT Solutions for Understanding Quadrilaterals Exercise 3.1 Class 8 Maths: Class 8 Maths Chapter 3 Exercise 3.1 aims at providing the students with an overall perspective or idea regarding various polygons viz.: convex, concave, regular and irregular polygons. Students will also acquire an idea of identifying the type of polygon by solving the questions. We have provided detailed Class 8 Maths Chapter 3 Exercise 3.1 solutions for all the problems in the PDF format. 

All the problems have been decoded and explained in a stepwise manner for a better understanding of the students. Moreover, the solutions have been efficiently curated by the experts of the Embibe team to provide the students with best quality material. Keep reading to find out Class 8 Maths Chapter 3 Exercise 3.1 solutions.

Exercise 3.1 Class 8 Maths: Overview

There are a total of 7 questions in Class 8 Maths Exercise 3.1 and all the questions can be easily solved once the concepts are understood. The first five problems are framed on the basis of property determination/identification of shapes and polygons. The last two problems are framed considering the determination of the angular value. Practising all the questions of the Exercise will learn how to determine the value of an unknown angle. This can be achieved by learning to apply the angle sum property to the figures.

The important concept provided in the NCERT solutions for Class 8 Maths Chapter 3 Exercise 3.1 is the interior angle sum property that is extended to quadrilaterals. All the solution PDFs for the questions can be accessed from the links provided below in this article. But, before knowing solutions, let us have a glance at the topics of Maths Class 8 Chapter 3 Exercise 3.1.

Understanding Quadrilaterals – Exercise 3.1 Maths Class 8 consists of the following topics. 

Exercise 3.1 Class 8 Maths: Solutions

After going through all the questions of Quadrilaterals Exercise of Class 8 Maths, students can easily categorise and differentiate the polygons based on their shape. The skill to identify such is very essential for the students to solve complicated questions by just looking at the polygon’s configuration.

To understand more, let us look at an example. Finding out the unknown angle of a triangle is very easy if two angles are already known because the sum of two angles in a triangle is equal to 180 degrees. The similar concept is applied with respect to other closed polygons such as hexagons, pentagons and even quadrilaterals. The chapter lets the students know how the angle sum property can be applied for various closed polygons.

Students can access and download the PDF solutions of Maths Class 8 Chapter 3 Exercise 3.1 and continue their practice.

Q.1: Name the quadrilateral whose diagonals bisect each other
Ans: Quadrilateral is a two-dimensional closed figure which has four straight sides, four vertices and four angles. Quadrilaterals can be of different types such as rectangle, square, rhombus, parallelogram, trapezium and kite. Each type of quadrilateral has its own properties.
A rectangle is a quadrilateral that has four right angles, opposite equal sides and two sets of parallel opposite sides. Diagonals of rectangles bisect each other.
A square is a quadrilateral that has all equal sides and all angles equal to 90°. Diagonals of square intersect each other at right angles. A rhombus is a quadrilateral which has equal sides, opposite parallel sides and opposite equal angles. Diagonals of rhombus perpendicularly bisect each other.
A parallelogram is a quadrilateral that has parallel and equal opposite sides and equal opposite angles.
Diagonals of parallelogram bisect each other.
A trapezium is a quadrilateral with at least one pair of parallel sides.
A kite is a type of quadrilateral that has two pairs of equal length sides that join up and its diagonals meet at right angles. Hence, from the above definitions, we can conclude that square, rectangle, rhombus and
parallelogram are the quadrilaterals whose diagonals bisect each other.

Q.2: Explain why a rectangle is a convex quadrilateral?

Q.3: Identify all the quadrilaterals that have four right angles.
Ans: Quadrilateral is a two-dimensional closed figure which has four straight sides, four vertices and four angles. Quadrilaterals can be of different types such as rectangle, square, rhombus, parallelogram, trapezium and kite. Each type of quadrilateral has its own properties.
A rectangle is a quadrilateral that has four right angles, opposite equal sides and two sets of parallel opposite sides.
A square is a quadrilateral that has all equal sides and all angles equal to 90° A rhombus is a quadrilateral
which has equal sides, opposite parallel sides and opposite equal angles.
A parallelogram is a quadrilateral that has parallel and equal opposite sides and equal opposite angles.
A trapezium is a quadrilateral with at least one pair of parallel sides.
A kite is a type of quadrilateral that has two pairs of equal length sides that join up and its diagonals meet at right angles. Hence, from the above definitions, we can conclude that square and rectangle are the
quadrilaterals that have four right angles.

NCERT Solutions for Exercise 3.1 Class 8 Maths PDF

Benefits of Knowing NCERT Solutions: Exercise 3.1 Class 8 Maths

Following NCERT solutions is the key role to attain perfection in Class 8 Maths all chapters. There are numerous benefits of following the NCERT solutions and we have mentioned the detailed benefits below. Right from acing the Class 8 Maths subject to building a strong command over the fundamentals, here are some advantages of following the NCERT solutions.

1. Step-Wise Problem Solving

For any student to understand the problem-solving approach, a step-wise understanding of the method must be known. By understanding the same, students can easily know how to solve the questions of a similar kind. Going ahead, if the student faces a similar kind of question in the exam, he/she can easily arrive at the appropriate answer by following the learnt steps. Therefore, to know the steps implemented throughout the problem, solving the NCERT solutions for Class 8 Maths Exercise 3.1 is of significant importance.

2. Nature of the Questions

As it has already been mentioned above, Exercise 3.1 of Class 8 Maths consists of 7 questions in total out of which the first five questions require the students to learn how to identify the shape of a polygon. The other two questions require the students to find out the value of an angle. By practising the questions of the Quadrilateral exercise, students will be able to identify the nature of the questions being imposed. It then becomes very easy to apply the right steps and derive the right solution. Hence, practising the NCERT solutions plays an important role in exam preparation and also during the exams.

3. A Great Resource of Competitive Exams

Most of the competitive exams these days consider the questions from the Maths subject taken from secondary and higher secondary education. Solving the Ex 3.1 Class 8 problems is an added advantage as it benefits the students during the competitive exams and prepares the students way before thereby helping them stay ahead in the competition. Paying attention to all the NCERT solutions of Class 8 now will contribute a major role in delivering success in the future.

4. Builds Basics & Fundamentals

Maths is one such subject that needs the understanding of basic concepts to solve all levels of questions – difficult and easy. Without basics, students will feel the need to memorise the steps to give their best attempt in the final exams and then forget the solutions. However, those who understand the concepts will find an easy flow in arriving at the solutions and solve the questions quite effortlessly. Moving further in their education towards a higher secondary level of education, they will solve all the questions with ease and interest as the basics are strongly established.

5. Helps in Knowing Strong & Weak Areas

Every student has their own potential towards problem solving. The difficulty level varies depending on a personal level. Easy concepts to some may seem difficult to others. Practising the solutions for Class 8 Maths exercise 3.1 helps the students in analysing their own areas of strengths and weaknesses. Moreover, they can focus on the areas that need improvement and solve the problems accordingly.

FAQs on Understanding Quadrilaterals Exercise 3.1 Class 8 Maths

Below-mentioned are some of the frequently asked questions related to Exercise 3.1 Class 8 Maths

Q.1: How many questions are there in Class 8 Maths Chapter 3 Exercise 3.1?
Ans: There are a total of 7 questions in Quadrilaterals Exercise 3.1 Class 8 Maths. While the first five questions have been curated based on the property determination/identification of shapes and polygons, the last two problems have been framed based on the determination of the angular value.

Q.2: How will the students be benefited by solving the problems of Chapter 3 Exercise 3.1?
Ans: By practising the NCERT solutions for Class 8 Maths Chapter 3 Exercise 3.1, students can easily differentiate the polygons based on their shape. The skill to identify such is important for the students to get solutions for complicated questions by just looking at the polygon’s configuration.

Q.3: Are all parallelograms are trapeziums?
Ans: Trapezium has only two parallel sides and since, in the parallelogram both the pairs of opposite sides are parallel to each other. Therefore, yes, all parallelograms are trapeziums.

Q.4: What are the topics included in Class 8 Maths Exercise 3.1?
Ans: Maths Class 8 Chapter 3 Exercise 3.1 consists of the topics Polygons, Sum of the Measures of the Exterior Angles of a Polygon, Kinds of Quadrilaterals and Some Special Parallelograms. Students can find the detailed syllabus on CBSE official website.

Q.5: Where can I find all the Class 8 Maths Chapter 3 Exercise 3.1 solutions?
Ans: Students can find all the NCERT solutions for Class 8 Maths Chapter 3 Exercise 3.1 at Embibe.

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