NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 Understanding Quadrilaterals - PDF Download

NCERT solutions for class 8 maths chapter 3 ex 3.4 Understanding Quadrilaterals provides students with an understanding of some special parallelograms such as rhombus, squares, and rectangles. There are certain conditions under which a rectangle or parallelogram is transformed into a square and also a rectangle can be converted into square by imposing some restraints. 

Class 8 maths chapter 3 exercise 3.4 NCERT solutions is composed of 6 questions that provide an in-depth analysis of the properties of these figures. eSaral's subject experts have carefully solved each question of ex 3.4 to assist the students in comprehending all the questions presented in the exercise. Ex 3.4 class 8 maths solutions are provided free of cost at eSaral and students may download it from anywhere as per their requirement.  

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Topics Covered in Exercise 3.4 Class 8 Mathematics Questions

NCERT solutions chapter 3 ex 3.4 for class 8 maths is based on topics rhombus, rectangular and square. You can check them out here on eSaral.

1. Some Special Parallelogram

• Rhombus - A quadrilateral having all four sides of equal length is called a rhombus.                         

              Properties of Rhombus:

    (I) The opposite sides are parallel and equal in a rhombus. Hence, it is a parallelogram.

   (II) All the 4 sides are equal in a rhombus.

  (III) Opposite angles are equal in rhombus.

  (IV) Diagonals of a rhombus intersect each other at right angles.

  (V)  Diagonals bisect each other.

 (VI) The diagonals of a rhombus are perpendicular bisectors of one another. 

 (VII) Each of the diagonals divides the rhombus into two equal triangles.

•  A rectangle - A parallelogram that has the equal opposite sides and the equal angles is called a Rectangle.

            Properties of Rectangle:

   (I) Opposite sides are parallel and equal.

   (II) Opposite angles are equal.

   (III) Adjacent angles make a pair of supplementary angles.

   (IV) Diagonals are of equal length.

   (V) Diagonals bisect each other.

   (VI) All the four angles are 90°

 (VII) Each of the diagonal bisects the rectangle into 2 congruent triangles.

(VIII) It has 2 lines of symmetry – a horizontal and a vertical.

(IX)The mid-points of the 4 sides of a rectangle, when joined in order, form a rhombus.

• A square - A Square is a rectangle that has all four sides equal.

                      Properties of Square:

      (I) All four sides are equal.

      (II) Opposite sides are parallel.

      (III) Diagonals are of equal length.

      (IV) Diagonals are perpendicular bisecte to each other.

      (V) All the four angles are 90°.

     (VI) It is a highly symmetric figure with 4 lines of symmetry – a horizontal, a vertical and the 2 diagonals.

     (VII) Each of the diagonal bisects the square into 2 congruent triangles. In fact, both the pairs of congruent triangles are also congruent to one another.

Tips for Solving Exercise 3.4 Class 8 Chapter 3 Understanding Quadrilaterals

NCERT Solutions Class 8 Mathematics Chapter 3 Ex 3.4 Understanding Quadrilaterals covers the various properties of rhombus, square and rectangle. To assist students in understanding these properties, the following tips are given by our subject experts of maths.

1. You need to first understand the properties of rhombus, rectangle and square before solving the questions.
2. You must go through the examples provided in NCERT solutions to comprehend the concepts.
3. NCERT solutions provided by eSaral for ex 3.4, you can use these solutions to cross check your answer of questions.
   

Importance of Solving Ex 3.4 Class 8 Maths Chapter 3 Understanding Quadrilaterals

There are lots of benefits to using NCERT solutions for class 8 maths chapter 3 ex 3.4. Here are some important benefits of solving ex 3.4.

1. In NCERT solutions for class 8 maths chapter 3 ex 3.4, our subject experts are focused on understanding the basic properties of the various parallelograms like rhombus, square and rectangle which will help you to understand the concepts properly.
2. Students of class 8 maths will be able to access the free solutions PDF for ex 3.4. These solutions can be downloaded from the eSaral website and saved for future use.
3. NCERT solutions for class 8 maths chapter 3 ex 3.4 are precise and accurate, students can rely on them.
4. eSaral class 8 maths chapter 3 ex 3.4 solution will enhance your problem-solving speed.

Frequently Asked Questions

Question 1. What is rhombus?

Answer 1. A quadrilateral having all four sides of equal length is called a rhombus. 

Question 2. What are the properties of a rectangle?

Answer 2. Properties of a rectangle are:

•  Opposite sides are parallel and equal.
•  Opposite angles are equal
•  Adjacent angles make a pair of supplementary angles.
•  Diagonals are of equal length.
•  Diagonals bisect each other.
•  All the four angles are 90°
•  Each of the diagonal bisects the rectangle into 2 congruent triangles.
•  It has 2 lines of symmetry – a horizontal and a vertical.
•  The mid-points of the 4 sides of a rectangle, when joined in order, form a rhombus.