Practical geometry is an important branch of Mathematics concerning the evaluation of different shapes, sizes, etc. Besides, it also involves constructing different geometrical patterns. In order to get familiar with precise and easy techniques to work out the problems, CoolGyan has created an NCERT Solution for Class 8 Maths Chapter 4, only for you. Prepared by in house subject experts this material is also framed as per the latest CBSE guidelines. Your NCERT Class 8 Maths Chapter 4 Solutions PDF is just a click away. Visit CoolGyan’s website and download the same at free of cost. You can even refer to and study from Class 8 Maths Chapter 4 NCERT Solutions guide online. Also download the NCERT Solutions for Class 8 Science curated by our master teachers.
1. What are the uses of geometry in real life?
Geometry has a massive number of applications in the real world. Starting from video games, architecture, computer-aided manufacturing to physical sciences and biology, geometry is everywhere. Other than these, geometry also plays a significant role in nanotechnology, visual and computer graphics, global positioning systems, astronomy, cartography and robotics.
2. Which are the lessons in Class 8 Maths book?
Students are supposed to prepare sixteen chapters in Class 8 Maths book. The chapters are Understanding Quadrilaterals, Rational Numbers, Linear Equations in One Variable, Data Handling, Cubes and Cube Roots, Algebraic Expressions and Identities, Squares and Square Roots, Mensuration, Exponents and Powers, Factorisation, Visualising Solid Shapes, Direct and Inverse Proportions, Playing with Numbers and Introduction to Graph.
3. What are the various types of quadrilaterals?
By definition, quadrilaterals are nothing but polygons having four sides. In general, there are six kinds of quadrilaterals, namely trapezium, rhombus, rectangle, parallelogram, square and kite. Firstly, trapeziums can be defined as quadrilaterals having two parallel sides. Secondly, a rhombus is a shape whose all sides are equal in length. Still, the opposite sides and angles are parallel and equal.
Thirdly, rectangles are a type of quadrilateral whose four angles are 90 degrees and opposite side lengths are equal. Fourthly, parallelograms have two pairs of parallel sides. Also, squares have all four sides equal, and enclosed angles are 90 degrees each. Lastly, a kite is a type of a quadrilateral having two pairs of equal length adjacent sides.
4. Do I Need to Practice all Questions Provided in the NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths?
Yes, you need to practise all the questions given in NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths as practising all questions will make you ready and confident for any question that has the probability of being asked in the practical exam.
The solutions to all the questions are explained in a very detailed manner which when studied meticulously will help the students to excel in their practical exam of Maths.
5. What are the Important Topics Covered in the NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths?
The solutions to questions of five exercises are covered in NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths. The important topics covered are listed below:
The first exercise contains solutions to the questions related to the construction of quadrilaterals using given measurements.
In the second section, there are questions related to quadrilateral sketching according to given measurements.
Exercise 3 also has similar questions but with angle measurements.
In a similar way, exercise 4 and 5 have questions related to creating required diagrams as per given measurements.
6. Which two concepts are discussed in NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths?
To teach children more about Geometry, the NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths integrates two concepts. The first topic is construction, which students learnt in earlier courses, and the second is quadrilaterals, which students may remember from Chapter 3 Understanding Quadrilaterals. This lesson is a fantastic combination of both of the previous themes, building on the concepts that the children have already mastered. It also shows them all of the new ways they can put these ideas into practice. NCERT solutions for class 8 maths chapter 4 focuses on constructing quadrilaterals under particular constraints, such as making a quadrilateral with four sides and one diagonal.
7. How will these solutions from NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths help students?
NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths demonstrates how to draw quadrilaterals accurately with a ruler and compass. When you have the lengths of four sides and a diagonal, the first step is to use the SSS construction condition to make a triangle. The fourth point is then found using two arcs and the supplied measurements to form the quadrilateral. Many of these strategies are included in NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths provided by CoolGyan, which provide students with a comprehensive understanding of how to construct quadrilaterals and these solutions are readily downloadable for free.
8. What techniques are used in NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths?
The NCERT Solutions of Chapter 4 ‘Practical Geometry’ Class 8 Maths do not include any Mathematical formulas for answering questions; instead, they are based on quadrilateral properties as well as building procedures. Depending on the circumstances, a different technique for building quadrilaterals will be used. The methods to a couple of these sub-topics are listed below,
There are four sides and one diagonal:
Using a compass and a ruler, draw a triangle with the two provided sides and one diagonal.
Next, draw an arc equal to the length of the third side from the point of junction of the first and second sides. Another arc equal to the distance measure of the fourth side is drawn from the point of junction of the first and third sides.
To get the quadrilateral, complete the lines.
Steps are also offered to solve questions based on other criteria.
