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NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry

As the NCERT Maths Chapter 4 name suggests ‘Practical Geometry’ focuses on ensuring that you can apply the knowledge you have gained about the figures like quadrilaterals in practice. In this chapter of NCERT Solution for Class 4, you will learn to draw and construct the quadrilaterals based on certain measurements. For instance, if one side measurement is given, how will you go about constructing a quadrilateral? How to draw a Rhombus? – All this and much more are discussed in this chapter.

By referring to the NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry prepared by the experts at Instasolv, you will get answers to all the five exercises given at the end of Chapter 4. These exercises test your ability to construct quadrilaterals, parallelograms, rhombus, squares and other such figures by giving different types of measurements. If you solve these 5 exercises you can surely score good marks in the practical geometry.

Instasolv professionals and expert Mathematicians prepare solutions in a structured manner ensuring that all exercises are explained for your easy understanding. Our professionals are the learned Mathematics Subject Matter Experts. So, you can rest assured about the quality as well as the accuracy of the solutions given.

About NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry

Chapter 4 of CBSE Maths is a chapter which is opening up more avenues for you to learn and delve deeper into the world of Geometry. The concepts that you have learnt in the previous class like the construction of angles, circles, perpendiculars etc., will be utilized and revised yet again in this chapter. You will learn to use the previously learnt skills to draw quadrilaterals.

Topics which are going to be dealt with in this chapter include:

  • Quadrilaterals and its characteristics.
  • Construction of quadrilaterals when different measurements have been given.

The best part about this chapter is that it helps build your foundation in the topic of quadrilaterals in Mathematics for your stronger grip in the subject.

Essential Points to Remember from NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry

NCERT Solutions for Class 8 Maths Chapter 4 can be considered to be the most scoring part of your CBSE Examinations if you master the art of drawing and also constructing various figures mentioned in this chapter. Some of the things that you must remember from this particular NCERT Chapter are given below:

  • There are 10 parts to a quadrilateral including 2 diagonals, 4 angles and 4 sides. 
  • Following measurements can be utilized to construct the quadrilaterals in the practical geometry-
  1. You can construct quadrilaterals when 4 sides and 1 diagonal are given in the question. 
  2. With three sides and two diagonals also quadrilaterals can be constructed uniquely. 
  3. If you know three angles and two adjacent sides of the quadrilaterals, then also you can draw the figures conveniently. 
  4. Constructing the quadrilateral is also possible when 3 sides and 2 included angles are provided.

Apart from teaching you how to draw the quadrilaterals if the above four situations are given, there are some special cases which are also covered in Chapter 4 of the NCERT Textbook.

Construction of Special Quadrilaterals

Special quadrilaterals are squares and rhombuses. So construction methods for both these figures differ from each other.

Constructing Squares: To construct squares, the measurement of one side is enough because all four sides of the squares are equal and the angles of the square are 90 degrees.

Constructing Rhombuses: These figures can be constructed if one of the following is given in the question- one side and one diagonal or two diagonals. Any of these measurements make it easier to draw a rhombus.

Exercises Covered in NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry

NCERT Maths Textbook Chapter 4 contains four very important exercises which allow you to grasp the technique of constructing the quadrilaterals including squares, rectangles, parallelograms and rhombuses efficiently.

~Exercise 4.1 tests your ability to construct around 2 quadrilaterals, 1 parallelogram and 1 rhombus.  

~Exercise 4.2 deals with 2 quadrilaterals and 1 rhombus.  

~Exercise 4.3 covers around 2 quadrilaterals, 1 parallelogram and 1 rectangle. 

~Exercise 4.4 exclusively deals with the construction of just 2 quadrilaterals.  

~Exercise 4.5 deals with 1 square, 1 rectangle, 1 rhombus and 1 parallelogram.

After working your way through these 5 exercises of Chapter 4 Practical Geometry, you will establish a strong foothold on the construction of all kinds of figures for your CBSE Mathematics Examination.

Importance of Class 8 NCERT Maths Chapter 4- Practical Geometry

Geometry is not only the scoring part during an exam but from the overall mathematics point of view, it is an essential section of the subject which needs to be learnt thoroughly. This chapter of NCERT Maths Textbook ensures that your consistency in understanding future topics of Geometry remains intact because you know your basics right.

Once you are truly able to comprehend practical Geometry and construct all kinds of figures well in Class 8, the other complex topics of higher classes will seem easy to you. This chapter of Practical Geometry will ultimately help make your understanding of Mathematics complete.

Tips to Study Class 8 NCERT Maths Chapter 4- Practical Geometry

  • Reading the chapter patiently and understanding the nitty-gritty involved in constructing the different geometric shapes should be given a priority. 
  • Keeping a separate notebook for this chapter is of the utmost importance. 
  • Practising all the exercises almost daily is also mandatory if you want to score well.

Along with that, we advise you to add NCERT Solutions for class 8 maths chapter 4 with steps of construction by Instasolv to your study references. With simple language, comprehensive diagrams and concise points to remember for revision, you can imbibe the art of smart learning in yourself.