# CBSE Class 8 Maths Revision Notes Chapter 4

## CBSE Class 8 Mathematics Revision Notes Chapter 4 – Practical Geometry

In these Class 8 Mathematics Chapter 4 notes, students will learn about practical geometry. In addition, in these Class 8 Chapter 4 Mathematics notes, students will get to know the significant details of the chapter that are important for their final examination. Along with Chapter 4 Mathematics Class 8 notes, Extramarks will provide students with essential questions that can be asked to prepare them quickly. Moreover, Class 8 Mathematics notes Chapter 4 will be a student’s last-minute revision guide, providing all the necessary information. These notes are based on the CBSE syllabus

A quadrilateral is a four-sided, four-angled polygon that has two diagonals. Square, rectangle, rhombus, etc., are some examples of quadrilaterals.

To determine a quadrilateral uniquely, we need five measurements.

1. To construct a quadrilateral uniquely, four sides and diagonal lengths are required.

Steps for Construction:

1. i) Draw a diagonal BD of a specified length
2. ii) Draw the arc above BD by taking AD as the radius and D as the centre. Draw an arc using B as the centre and AB as the radius.  A is the point of intersection of arcs.

iii) Using the same method in step two, draw arcs below the diagonal BD to get point C.

1. To construct a quadrilateral uniquely, the lengths of its two diagonals and three sides are required.

Steps for Construction:

1. Draw the side BC of a given length.
2. Draw the arc above BC by taking CD as the radius and C as the centre. Construct the arc using B as the centre and BD as the radius. The point of crossing of arcs through CD and BD is point D.
3. Using the same method in step two, draw arcs above the side BC to get point A.
4. To construct a quadrilateral uniquely, lengths of two adjacent sides and three angles are used.

Steps for Construction:

1. Create a side DC of the given length.
2. Compose the given angle ADC and draw a ray from D while taking D as the centre. Find point A of the given length using a ruler from D. Similarly, draw the angle DAB using A as the centre and a ray from point A.
3. Using the same method in step two, create the given angle BCD at point C above the diagonal DC. The location where the ray from points A and C intersects is point B.
4. To construct a quadrilateral uniquely, lengths of three sides and two included angles will be used.

Steps for Construction:

1. Create a side DC of the given length.
2. Compose the given angle ADC and draw a ray from D while taking D as the centre. Find point A of the given length using a ruler on the ray from D.
3. Using the same method in step two, draw the given angle BCD at point C above the diagonal DC. Find point B at the given length using a ruler on the ray from C.
4. Join AB using a ruler.

## Access NCERT Solutions For Class 8 Mathematics Chapter 4 – Practical Geometry

### What Will You Learn In The Chapter Practical Geometry Class 8 Notes By Extramarks?

The Class 8 Mathematics Chapter 4 notes are straightforward to understand. These notes are very beneficial for your revision before your exam. The team of professionals who have made the notes has been improving students’ grades and knowledge for years.

The solutions given include everything that any student needs to know in Chapter 4 of Practical Geometry Class 8.

Chapter 4 Mathematics Class 8 Notes of practical Geometry is the extended version of the topics you will learn in the previous classes. You have studied many topics in your Practical Geometry chapter in previous classes to strengthen your foundation in this chapter.. A few of the topics that you  have learned about previously are as follows:

• Listing and identifying various tools used in Practical Geometry.
• You studied Practical Geometry, where you learned many concepts, including Circles. You also learned how to make a circle when its radius is known.
• You studied line segments and how to make them where the length of the segment is given.
• You learned to make a copy of a given line segment.
• You were introduced to the concept of perpendiculars in this chapter.
• You studied how to make perpendiculars to a line through a point.
• You studied to draw perpendiculars to a line through a point, not on it.
• You studied the perpendicular bisector of a line segment.
• You were introduced to angles and how to make an angle of any measure.
• You learned to make a copy of an angle of an unknown measure.
•  You learned the concept of angle bisectors.
• You also get a fair idea of the angles of special measures.

These topics and concepts were explained with the help of different examples and explanations that were very easy to grasp.

In Class 8, the topics you will study are advanced topics in Practical Geometry. Given below is the list of the topics that you will study in CBSE Class 8 Chapter 4 Practical Geometry:

• Introduction to Practical Geometry

• When the diagonal and the lengths of four sides are given
• When three sides and two diagonals are given
• When three angles and two adjacent sides are known
• When two included angles and three sides are given

Some Special Cases to make a Quadrilateral

The question and answer will benefit students in understanding and memorising every concept related to quadrilaterals.

Class 8 Chapter 4 NCERT consists of all the topics and necessary concepts you need to be acquainted with for your upcoming exams. If you take the decision to study from the notes of Class 8 Chapter 4, you can rely on them and be sure that you will not miss out on any important topic you need for your examination.

### Why is the Chapter on Practical Geometry Class 8 Chapter 4 important?

This Chapter on Practical Geometry prepared by the CBSE board is a major stepping stone toward your understanding of geometry.

If you have a good understanding of the concepts taught in this chapter, then it will be easy for you to understand all the following chapters of geometry in the later classes.

Suppose you cannot understand the basics and the different concepts of practical geometry. In that case, it will become difficult or even impossible for you to understand harder topics in the higher classes.

An understanding of geometry is essential for any student. Geometry is part of our everyday lives. We see a geometric figure itself or can be depicted in a geometric form. Thus, a comprehensive idea of geometry is crucial for a student studying in 8th standard. A good understanding of geometry will benefit the students to gain a better understanding of Mathematics. Studying the concepts of geometry is inevitable, and Extramark’s notes help students grasp the concepts of geometry deeply.

In Chapter 4, Class 8 Practical Geometry, students will understand and learn the features of various shapes and sizes. They also learn to make them with a few given values. This is an essential lesson for you if you are studying in the 8th standard. If you have a good knowledge of practical geometry, you can achieve good grades in your mathematics paper in the higher classes. Hard topics won’t be hard anymore.

Practical Geometry Class 8 Chapter 4 is necessary for any student who wants to achieve good marks in school and other competitive examinations. Understanding these concepts will play a crucial part in your forthcoming career. Chapter 4 Class 8 Practical Geometry is divided into a few parts. This is done to help students understand the concepts precisely in a step-by-step manner. These notes contain all the topics in the NCERT Books concisely. Download the Class 8 Mathematics  Chapter 4 Notes on this page to improve your exam results. Once you go through these notes, you can easily solve CBSE Sample Papers. These notes also contain CBSE Extra Questions that will help students test their understanding.

### You can download the PDF on Practical Geometry Class 8 Notes.

Practical Geometry gives you an understanding of the concepts behind the frequently used figure in the world of geometry known as a quadrilateral. In this chapter, you will learn to solve difficult problems related to quadrilaterals.

Any problems related to quadrilaterals will become a simple task for you. A student’s fundamental understanding of many chapters of higher mathematics starts from the 8th standard. The chapter on Practical Geometry is crucial for understanding almost all the mathematics topics in the higher classes.

Practical Geometry is the basis of solving almost every geometric problem. An understanding of Practical Geometry that deals with quadrilaterals play a crucial role. You can learn from the NCERT Solution for Class 8 Mathematics Chapter 4 Practical Geometry notes.

### Mathematics requires you to practise a lot, and these notes will streamline the process with easy-to-understand and simple answers. Download the PDF on Solutions of Class 8 Chapter 4 Practical Geometry.

Experts have created notes with unmatched experience in assisting students to reach the top of the result charts. They assist and prepare students for examinations and help them develop a clear understanding of all their concepts in the simplest way possible. You may download the PDF of Revision Notes for Class 8 Mathematics Chapter 4 Practical Geometry.

### Studying and Understanding the Chapter Made Easy

In Class 8, students should receive appropriate guidance while studying Mathematics. The syllabus of Class 8 contains essential topics in Mathematics. The syllabus for Class 8 will help in shaping the academic careers of students.

If the NCERT Solution based on Chapter 4, Class 8, is studied properly, it can be wonderful for students. All the topics and concepts of Chapter 4, Practical Geometry, can be understood very easily with the help of the solution provided. These notes will make the process of studying very easy for you.

It is crucial to have excellent knowledge of quadrilaterals for your understanding of geometry. This chapter, prepared by CBSE, is essential for all your examinations and competitive exams. You will clearly understand their properties and importance in the world of geometry once you know the basic concepts of quadrilaterals. With the right knowledge of quadrilaterals, this subject will become very simple for you.

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### 1. What are the factors that determine if a quadrilateral can be constructed uniquely?

The measurements that are crucial to making a quadrilateral are

• If the diagonal and the lengths of its four sides are given.
• If the diagonals and three sides are given.
• If two adjacent and three angles are given.
• If two included angles and three sides are given.
• When other special properties are given.

### 2. How is practical geometry used in real life?

Practical geometry can be used in the following ways

• Construction of building
• Creating art
• Orbit and planetary motion research
• Architecture and interior design
• Computer graphics

### 3. How many parameters must be available for us to draw a unique quadrilateral?

We must have five parameters to draw a unique quadrilateral.

### 4. What are the required parameters for the proper construction of a parallelogram?

The parallel sides are equal in a parallelogram. We can construct a parallelogram if we know the length of two adjacent sides and one internal angle.