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# NCERT Solutions for Understanding Quadrilaterals Exercise 3.4 Class 8 Maths

Chapter 3 Exercise 3.4 Class 8 Maths NCERT Solutions: The NCERT Solutions for Understanding Quadrilaterals Exercise 3.4 Class 8 Maths are provided on this page. These NCERT Solutions for Maths Ex 3.4 Class 8 are offered of cost, and you can access them whenever you want. The subject matter experts at Embibe have meticulously solved each question to assist you in answering any problems from the Class 8 Maths Exercise 3.4 NCERT textbook.

This exercise is primarily based on the various types of quadrilaterals. The most recommended study material, NCERT Class 8 Maths Chapter 3 Exercise 3.4 Solution, includes many shortcut approaches and thorough explanations. Before the exam, you can download the NCERT Maths Ex 3.4 Class 8 Solutions PDF from this article.

## NCERT Solutions for Understanding Quadrilaterals Ex 3.4 Class 8 Maths: Overview

NCERT Solutions Chapter 3 Exercise 3.4 Class 8 Maths is a PDF download for the Central Board of Secondary Education (CBSE) examinations in 2022 and 2023. This solution has been crafted based on the latest CBSE guidelines. Learn about quadrilateral properties, specific types of quadrilaterals, and practise questions based on quadrilateral properties.

First, let’s have a glimpse at an outline table for the NCERT Class 8 Maths Chapter 3 Exercise 3.4 Solution:

### NCERT Solutions for Chapter 3 Exercise 3.4 Class 8 Maths: Download PDFs

‘Quadrilateral” is an important chapter for students since it deals with the different shapes and sizes of everyday objects. Most of these go unnoticed, although learning about specific mathematical shapes is beneficial. It will enable you to excel in your exam while also positively impacting your daily life. Scroll down to download the pdf.

### Chapter 3 Exercise 3.4 Class 8 Maths NCERT Solutions

Q.1. All rectangles are squares.

TrueFalse

Solution: 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°.
If we compare the properties of square and rectangle, we find that both square and rectangle have all angles equal to 90°, parallel opposite sides but in a square, all sides are equal, whereas, in rectangle, opposite sides are equal. Hence, all rectangles are not squares.

Q.2. All rhombuses are parallelograms.
TrueFalse

Solution: A parallelogram is a quadrilateral that has parallel and equal opposite sides and equal opposite angles. A rhombus is a quadrilateral which has equal sides, opposite parallel sides and opposite equal angles.
Comparing the properties of square and rectangle, we get that both rhombus and parallelogram have parallel and equal opposite sides and equal opposite angles. Hence, all rhombuses are parallelograms.

Q.3. All squares are rhombuses and also rectangles.
TrueFalse

Solution: We know that a rectangle becomes a square when all sides of a rectangle are equal. Hence, a square is a special case of a rectangle. And since, a square has the same property as that of a rhombus.
Hence, all squares are rhombuses and also rectangles.

Q.4. All squares are not parallelograms
TrueFalse

Solution: A square is a quadrilateral that has all equal sides and all angles equal to 90°.
A parallelogram is a quadrilateral that has parallel and equal opposite sides and equal opposite angles.
Since all squares have the same property as that of the parallelogram.
Hence, all squares are parallelograms.

Q.5. State whether true or false:
All kites are rhombuses.
TrueFalse

Solution: A rhombus is a quadrilateral which has equal sides, opposite parallel sides and opposite equal angles.
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.
In the rhombus, all sides are equal, but all kites do not have equal sides.
Hence, all kites are not rhombuses.

Q.6. All rhombuses are kites.
TrueFalse

Solution: 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.
A rhombus is a quadrilateral which has equal sides, opposite parallel sides and opposite equal angles.
Since all rhombuses have equal sides and diagonals bisect each other, in the kite, all sides may be equal, and their diagonals can also bisect each other.
Hence, all rhombuses are kites.

Practice 8th CBSE Exam Questions

We have provided NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 PDF link to make things easier. Our Math Class 8 Chapter 3 Exercise 3.4 Solutions comprises detailed descriptions that begin with the fundamentals of each Mathematical shape covered in this exercise. Students can download the Ex 3.4 Class 8 Maths NCERT Solution from the below link:

### About NCERT Solutions for Class 8 Maths Exercise 3.4

NCERT Solutions for Chapter 3 Exercise 3.4 Class 8 Maths teaches children about particular quadrilaterals such as squares, rhombuses, and rectangles. A rhombus or a parallelogram can become a square if certain conditions are met. Similarly, by applying some constraints, a rectangle can be transformed into a square. As a result, this exercise assists you in comprehending how this interchangeability is possible. NCERT Solutions for Class 8 Maths Exercise 3.4 has six questions that go further into the properties of these figures.

Ex 3.4 Class 8 Maths subtopics are required to solve geometrical problems of higher classes. Hence, children must be well-versed in these concepts. You can use the NCERT Class 8 Maths Chapter 3 Exercise 3.4 Solution comprehending quadrilaterals given above to acquire a 360-degree picture of this chapter.

### NCERT Solutions for Chapter 3 Exercise 3.4 Class 8 Maths: Important Properties

Understanding Quadrilaterals NCERT Solutions Class 8 Mathematics Chapter 3 Exercise 3.4 contains some important properties linked with different forms of quadrilaterals. Some of them are as follows:

• Asquare’ss diagonals are perpendicular to one other.
• The diagonals of a rectangle are equal in length.
• A rectangle is a parallelogram with every angle being a right angle.
• A rectangle with equal sides is square.

### NCERT Class 8 Maths Chapter 3 Exercise 3.4 Solution: Questions Overview

Here is a summary of all the questions in Class 8 NCERT Solution for Maths Exercise 3.4:

#### Ex 3.4 Class 8 Maths – Question 1

You are given eight assertions and must determine whether or not they are true. All of the claims presented are facts based on various quadrilaterals. Hence, you must have all the facts to assess whether the provided statements are correct.

You can acquire adequate clarity by referencing our NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4, which has extensive explanations for each of the mathematical shapes classified as quadrilaterals —

• Rectangles
• Squares
• Rhombus
• Parallelogram
• Kite
• Trapezium

In addition, we have offered valid explanations for the statement’s truthfulness or falsity.

#### Ex 3.4 Class 8 Maths – Question 2

The second question is exciting since it functions as a riddle. You are given two hints and asked to name the quadrilateral they relate to. To comprehend the facts behind each hint, you must be familiar with the features of various quadrilateral shapes.

#### Ex 3.4 Class 8 Maths – Question 3

Question 3 is entirely based on square characteristics. You must demonstrate how a square can be any of the following mathematical shapes –

• A parallelogram
• A rhombus
• A rectangle

The primary goal here is to demonstrate that a square is related to these forms in some other ways. For a more in-depth analysis, check our NCERT Solution for Chapter 3 Ex 3.4 Class 8 Maths, which lists all of the key characteristics of these shapes independently as well as in a tabular format for comparison.

Attempt 8th CBSE Exam Mock Tests

#### Ex 3.4 Class 8 Maths – Question 4

In question 4, you must identify the quadrilaterals using the three hints provided. Each suggestion refers to a specific quadrilateral. More significantly, the answers will be based on the shape’s diagonal property.

#### Ex 3.4 Class 8 Maths – Question 5

This question digs deeper into the concept of a quadrilateral by introducing you to two more varieties – convex and concave. Herein, you are asked to explain why a rectangle is called a convex quadrilateral. To provide a convincing explanation, you must first comprehend both words and how they can be applied to a specific quadrilateral, as shown in our NCERT Solution of Chapter 3 Ex 3.4 Class 8 Maths.

#### Ex 3.4 Class 8 Maths – Question 6

It is the final question in this exercise, and you are given a figure of a triangle that has been projected with dotted lines to form a quadrilateral. Hence, the figure now has two diagonals with a mid-point, and you must explain why the lines connecting the vertices are equidistant from the centre.

You can learn how to answer these types of problems most easily by referring to our NCERT Solution to Maths Class 8 Chapter 3 Ex 3.4.

### Benefits of Using Embibe’s Chapter 3 Ex 3.4 Class 8 Maths NCERT Solution

You can get the following benefits from our Exercise 3.4 Class 8 Maths NCERT Solution:

• Develop a thorough understanding of this chapter.
• Learn how to solve numerical problems using shortcuts.
• Have important facts available in tabular form for easier memorisation.
• Determine the validity of the argument behind each subjective explanation.
• Reduce the possibility of errors.

### NCERT Solutions for Chapter 3 Exercise 3.4 Class 8 Maths: FAQs

We have put together a list of the most frequent questions NCERT Solutions for Chapter 3 Ex 3.4 Class 8 Maths questions. You should go over these questions and answers again to clear up any confusion:

Q.1: Where can I download Exercise 3.4 Class 8 Maths NCERT Solutions PDF?

Q.2: How many questions are there in Ex 3.4 Class 8 Maths NCERT Book?
Ans: There are 6 questions in NCERT Ex 3.4  Class 8 Maths textbook.

Q.3: Is Embibe’s NCERT Solutions for Class 8 Maths Chapter 3 Ex 3.4 beneficial?
Ans: Yes. The questions in NCERT Chapter 3 Ex 3.4 Class 8 Maths have been answered by qualified teachers in accordance with the NCERT (CBSE) norms. Once you complete this exercise, you will have a proper understanding of this chapter.

Q.4: Is Class 8 Maths Chapter 3 Ex 3.4 easy?
Ans: No. Chapter 3 Ex 3.4 Class 8 Maths is an exciting yet difficult exercise. It is essential not just for Class 8 exams but also for grasping subsequent concepts at higher levels.