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NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.2

 

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.2 help you understand how to construct quadrilaterals. This exercise is based on the construction of a quadrilateral when the measurements of the two diagonals and three sides are given to you. There is one question in this exercise with three sub-parts where you have to create two quadrilaterals and one rhombus respectively. 

 

The askIITians Maths experts have created stepwise solutions for NCERT Class 8 Maths Chapter 4 Exercise 4.2 for your complete understanding of the concepts. These solutions will help you revise the construction steps easily before exams. You can download the NCERT Solutions by askIITians in pdf format and refer to them whenever you study this exercise. Let us see what is included in this exercise and how you can download the NCERT Solutions for the exercise for free. 

About NCERT Class 8 Maths Chapter 4 Practical Geometry Exercise 4.2 

 

Let us see what are the steps involved in the construction of a quadrilateral when its two diagonals and three sides of the quadrilateral are given to you. 

 

Suppose you have to construct a quadrilateral ABCD with two diagonals AC = 6.5 cm and BD = 8 cm. The other sides of the quadrilateral are BC = 5.5 cm, AD = 6.5 cm and CD = 6 cm.

 

Step 1: We can see that AD, AC and DC are given so we can construct a triangle ΔACD by using the SSS criterion.


 

Step 2: Now, we know that BD is given so we can draw the point B keeping D as the centre and draw an arc of radius 8 cm just opposite to the point D with reference to AC.


 

Step 3: BC is given so we can draw an arc keeping C as centre and radius 5.5 cm so that it intersects the other arc.


 

Step 4: The point of intersection of the arcs is point B. Join AB and BC to complete the quadrilateral.


 

ABCD is the required quadrilateral. You can also create a rough sketch of the quadrilateral for reference purposes before you start the construction. This way you can ensure that you are on the right track. 

 

Exercise 4.2 of Class 8 Maths NCERT Chapter 4 Practical Geometry includes one question with three subparts. 

  • In the first part, you have to construct a quadrilateral LIFT with LI = 4cm, IF = 3 cm,  TL = 2.5 cm, LF = 4.5 cm, and IT = 4 cm. 
  • In the second part, you have to construct a quadrilateral GOLD with OL = 7.5 cm, GL = 6 cm, GD = 6 cm, LD = 5 cm and OD = 10 cm. 
  • In this third part, you have to construct a rhombus BEND with BN = 5.6 cm and DE = 6.5 cm. 

Download Free NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Exercise 4.2 

 

The exercise is easy to solve since you are given all the required measurements. All you have to do is understand how to use the geometry tools such as a protractor, a compass and a ruler correctly to construct the required figures. You must concentrate on the question while constructing the figure and any minute mistake can lead to wrong construction. 

 

How will our NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Exercise 4.2 help you? 

 

  • The NCERT Solutions are your best guide whenever you get stuck in solving the exercise of Practical Geometry. These solutions include comprehensive explanations that help you understand the steps of the construction properly. 
  • Practising the NCERT exercise will help solidify your conceptual understanding of the chapter and will prepare you well for your exams. 
  • You can use these NCERT Solutions for Chapter 4 Exercise 4.2 to quickly revise the concepts of construction of a quadrilateral before exams. 
  • The solutions help you understand how to approach practical geometry questions in the examination. Along with this, we recommend you to memorise all the important properties of different quadrilaterals. 
  • These NCERT Solutions are based on the latest exam pattern and CBSE syllabus for Class 8 Maths so you need not worry about finding the latest study material. 

 

Download NCERT Solutions for all the exercises of Chapter 4 Practical Geometry:

 

  • Chapter 4 Class 8 Maths Ex 4.1 - 1 Question
  • Chapter 4 Class 8 Maths Ex 4.2 - 1 Question
  • Chapter 4 Class 8 Maths Ex 4.3 - 1 Questions
  • Chapter 4 Class 8 Maths Ex 4.4 - 1 Questions
  • Chapter 4 Class 8 Maths Ex 4.5 - 4 Questions

NCERT Class 8 Maths Chapter 4 Practical Geometry Ex 4.2 FAQs

 

  1. How many questions are there in NCERT Class 8 Maths Chapter 4 Practical Geometry Ex 4.2?

 

There is only 1 question in exercise 4.2. The Practical Geometry chapter includes 8 unsolved questions and 6 solved examples in total. 

 

  1. What are the main topics covered in Chapter 4 Practical Geometry of Class 8 Maths? 

 

There are four exercises in the Practical Geometry chapter where each exercise focuses on the following topics respectively:

  • Constructing a quadrilateral uniquely if the lengths of its four sides and a diagonal are given.
  • Constructing a quadrilateral uniquely if its two diagonals and three sides are known.
  • Constructing a quadrilateral uniquely if its two adjacent sides and three angles are known.
  • Constructing a quadrilateral uniquely if its three sides and two included angles are given.

 

  1. How to study NCERT Class 8 Maths Chapter 4 Practical Geometry exercise 4.2? 

 

You can refer to the different study resources created by askIITians Maths experts for the Practical Geometry chapter such as revision notes, extra questions, flashcards, practise worksheets, NCERT Exemplar Solutions and much more. Download them from our website and start practising right away. 


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