Revision Notes for CBSE Class 8 Maths Chapter 4 - Free PDF Download
Quadrilateral:
A quadrilateral is a four-sided, four angled polygon with two diagonals. For example: square, rectangle, rhombus etc.
Determining a Quadrilateral:
To determine a quadrilateral uniquely, five measurements are required.
To construct a unique quadrilateral, lengths of its four sides and a diagonal are required.
Steps For Construction:
i) Draw the diagonal BD of given length.
ii) Taking AD as the radius and D as the centre, draw the arc above BD. Similarly draw the arc using B as the centre and AB as the radius. The point of intersection of arcs is point A.
iii) Following the same method in step two, draw arcs below diagonal BD to obtain point C.
To construct a unique quadrilateral, lengths of its two diagonals and three sides are required.
Steps for Construction:
Draw the side BC of given length.
Taking CD as the radius and C as the centre, draw the arc above BC. Similarly draw the arc using B as the centre and BD as the radius. The point of intersection of arcs through CD and BD is point D.
Following the same method in step two, draw arcs above the side BC to obtain point A.
To construct a unique quadrilateral, lengths of two adjacent sides and three angles are required.
Steps for Construction:
Draw the side DC of the given length.
Taking D as the centre, construct the given angle ADC and draw a ray from D. From D, locate point A of the given length using a ruler. Similarly draw the angle DAB using A as the centre and draw a ray from A.
Following the same method in step two, draw the given angle BCD at point C above the diagonal DC. The point where ray from point A and C intersects is point B.
To construct a unique quadrilateral, lengths of three sides and two included angles are required.
Steps for Construction:
Draw the side DC of the given length.
Taking D as the centre, construct the given angle ADC and draw a ray from D. From D, locate point A of the given length using a ruler on the ray.
Following the same method in step two, draw the given angle BCD at point C above the diagonal DC. From C, locate point B of the given length using a ruler on the ray.
Join AB using a ruler.
What will you learn in the chapter Practical Geometry Class 8 Notes by Vedantu?
The notes by Vedantu on Class 8 Maths Chapter 4 are extremely easy to understand. They are the best for your revision schedules before your exam. The team of professionals who have prepared the notes has been enhancing the knowledge and the grades of students for years.
The solutions provided by Vedantu deal with everything that any student needs to know in Chapter 4 of Practical Geometry Class 8.
The Class 8 Chapter 4 on practical Geometry is the extension of the topics that you will learn in the previous classes. You have learnt many topics in the previous classes in your Practical Geometry chapter to make your base on this chapter strong enough. The few of the topics that you have studied previously are as follows:
Identifying and listing the different tools that are used in Practical Geometry.
You were introduced to Practical Geometry where you learnt many concepts including that of the Circles. You also learnt to construct a circle when its radius is known.
You learnt about line segments and how to draw them when the length of the segment is given.
You learnt to construct a copy of a given line segment.
The concept of perpendiculars was also introduced to you in this chapter.
You learnt how to construct perpendiculars to a line through a point.
You learnt to draw perpendiculars to a line through a point not on it.
You will learn about the perpendicular bisector of a line segment.
You were introduced to the concepts of angles and how to construct an angle of any given measure.
You learnt to draw a copy of an angle of an unknown measure.
The concept of angle bisectors was taught to you.
You also got a clear idea of the angles of special measures.
These topics and concepts were explained effectively with the help of different explanations and examples that were extremely easy to understand.
You nailed the examination with the notes of Vedantu in your previous classes with much ease.
In class 8 the topics that you will study under Practical Geometry are more advanced. Here is a list of the topics that you will learn in CBSE Class 8 Chapter 4 Practical Geometry:
Introduction to Practical Geometry
Constructing a Quadrilateral
When the lengths of four sides and a diagonal are given
When two diagonals and three sides are given
When two adjacent sides and three angles are known
When three sides and two included angles are given
Some Special Cases to Construct a Quadrilateral
The question and answer by Vedantu will help you understand and remember all the concepts related to quadrilaterals better.
Vedantu’s Class 8 Chapter 4 NCERT Maths Solution contains almost every topic and necessary concepts that you need to be versed with for your upcoming exams. If you take the decision of studying from the notes of Vedantu, you can surely depend on the notes and be sure of the fact that you will not miss out on any important topic that you require for your examination. Download the PDF on Class 8 Chapter 4 Practical Geometry
Why is the Chapter on Practical Geometry Class 8 Chapter 4 Important?
The chapter on Practical Geometry crafted by the CBSE board is a major stepping stone towards your comprehensive understanding of the most important section of math, Geometry.
If you have a good knowledge of the concepts that are taught in this Chapter precisely, then you can be sure that it will be easy for you to understand all the following chapters of Geometry in the later classes with much ease.
If you are unable to understand the basics and the different concepts of practical geometry, it will become immensely difficult or even impossible for you to understand more difficult topics in the higher classes. Your sustainability will be highly threatened.
The understanding of Geometry is paramount for any student. Geometry is part of our daily life. Whatever we see is a geometric figure itself or can be represented in a geometric form. Thus for a student studying the 8th standard, a comprehensive idea of Geometry is crucial. A good understanding of Geometry will also help to understand the subject math better. Understanding the concepts of geometry is inevitable and Vedanru’s notes help students to understand the concepts of Geometry to the core.
In Chapter 4 Class 8 Practical Geometry, a student effectively learns and understands the characteristics of different shapes and sizes. They also learn to construct them with a few given values. This is an extremely essential lesson for you if you are studying in 8th standard. If you have a good idea of practical Geometry then you can do really well in your mathematics paper in the higher classes. Difficult topics won’t be difficult anymore.
Practical Geometry Class 8 Chapter 4 is important for any student who wants to score high marks in both school examinations and other competitive examinations. The understanding of these concepts of Practical Geometry will play a key role later in your academic career. The entire Chapter 4 Class 8 Practical Geometry is segregated into a few parts. This is solely done to help students understand the concepts precisely in a step-by-step manner with much ease.
You can Download the PDF on Practical Geometry Class 8 Notes
The Chapter, Practical Geometry teaches you the concepts of the commonly used figure in the world of Geometry known as a quadrilateral. In this chapter, you will learn to solve complicated problems related to quadrilaterals. If you study this chapter and learn the concepts with the help of Vedantu’s notes, it will become very easy for you to get hold of the following chapters of maths.
Any problems related to quadrilaterals will become the easiest task for you. Don’t forget to download the PDF on Practical Geometry Class 8 Notes that’s available for free. A student’s basic understanding of many chapters of higher mathematics kickstarts from the 8th standard. The chapter of Practical Geometry is very crucial for the understanding of almost everything in mathematics in the later classes.
Practical Geometry is the basis of solving almost all problems in Geometry. The knowledge about Practical Geometry that deals with the quadrilaterals play a paramount role. You can study NCERT Solution for Class 8 Maths Chapter 4 Practical Geometry Vedantu’s notes. These notes are available to you for free. You can download them whenever you want to start studying.
If you know how to solve problems of Practical Geometry, then only you can solve more complicated problems in your higher classes. The Class 8 Chapter 4 Practical Geometry is immensely interesting. However, you need to go through the concepts once or twice and then practice a few related problems.
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Why do you Need Vedantu’s Notes to Study Class 8 Chapter 4 Practical Geometry?
The CBSE syllabus which is smartly crafted is extremely effective and beneficial for all students. Students who study in the CBSE board are extremely blessed.
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The syllabus and all the chapters of maths that are taught to the students of CBSE Class 8 help students to build a stronghold on maths. Revision Notes Class 8 Maths Chapter 4 helps speed up that process.
The chapters of Maths CBSE Class 8 are chosen in a way so as to provide a complete knowledge of Maths to the students. If you are a student of Class 8 CBSE board, then you will be very well prepared for your upcoming standards.
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Studying and Understanding the Chapter Made Easy
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NCERT Solution by Vedantu based on Chapter 4 Class 8 if studied properly can do wonders for students. The solutions help you to understand all the concepts of Chapter 4 Practical Geometry very easily. The notes make the process of studying very efficient for you.
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The notes of Vedantu have been prepared by exceptionally experienced professors and teachers who have extensive expertise in guiding students to learn the different concepts of Maths. If you want to learn how to approach any question of Practical Geometry Class 8 in your exam and write an excellent answer to them then you need to study from the notes of Vedantu. You can now seamlessly impress the teacher who will be checking your answer sheets. You will have to just download Revision Notes for Class 8 Chapter 4 Practical Geometry PDF.
You will Learn About Quadrilaterals
Having a very good knowledge of quadrilaterals is crucial for your understanding of geometry. Prepared by CBSE, this chapter is pivotal for all your examination needs including the competitive ones in the future. Once you know the basic concepts of the quadrilaterals, you can get a clear idea about their properties and importance in the world of geometry. The subject will become very easy for you with the right knowledge of quadrilaterals. Vedantu will provide all the necessary notes and solutions to you in this chapter in their PDF.
Makes Studying Interesting
The NCERT Class 8 Maths Chapter 4 notes are prepared by Vedantu to help you get a thorough understanding of quadrilaterals and their properties. The questions and the solutions to the problems of Practical geometry are presented in a smart way, initiating smart learning. This creates a lot of difference during the revision days before exams.
Grows Your Interest in The Subject
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If a student starts studying the notes of Vedantu, he or she will get a clear understanding of all the chapters that are being taught under the CBSE syllabus.
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Conclusion
With the notes of Vedantu, you can now seamlessly build the necessary framework of your knowledge of Maths. CBSE Class 8 Chapter 4 Practical Geometry explains everything you need to know about quadrilaterals. The chapter is very effective for any student studying in Class 8. At this tender age, understanding the concept of quadrilaterals in paramount and Vedantu’s notes effectively help students to become a pro in the topic.
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FAQs on Practical Geometry Class 8 Revision Notes for CBSE Maths Chapter 4: Free PDF Download
1. What determines if a quadrilateral can be constructed uniquely?
The measurements necessary to construct a quadrilateral uniquely are:
If the lengths of its four sides and a diagonal is given.
If two diagonals and three sides are given.
If its two adjacent sides and three angles are given.
If three sides and two included angles are given.
When other special properties are known.
2. Where is practical geometry used in real life?
The uses of practical geometry include:
Construction of buildings
Architecture and interior designing
Study of orbits and planetary motions
Creating art
Computer graphics
3. What is Practical Geometry in Class 8 Mathematics?
Practical Geometry is a branch of mathematics that deals with the construction and drawing of various geometric shapes and figures using basic tools like a compass, ruler, and protractor. It helps in visualizing and creating accurate geometric figures.
4. Why is Practical Geometry important for Class 8 students?
Practical Geometry is essential as it enhances students' spatial understanding, problem-solving skills, and geometric knowledge. It also has practical applications in fields like engineering, architecture, and design.
5. What are some common constructions in Class 8 Practical Geometry?
Common constructions include bisecting a line segment, constructing perpendicular bisectors, drawing angles of specific measures, and constructing triangles using given conditions (SSS, SAS, ASA, etc.).
6. How can I use these Revision Notes effectively for Class 8 Practical Geometry?
To use the Revision Notes effectively, review the concepts and steps for constructing geometric figures. Practice each construction step-by-step, and use the notes as a reference when solving problems or creating constructions.
7. Are these Practical Geometry Class 8 Revision Notes available for free in PDF format?
Yes, these Revision Notes for Class 8 Practical Geometry Chapter 4 are available for free in PDF format. You can download and access them at your convenience to support your studies and practice.