Open App

Class 8 Exam > Class 8 Notes > Class 8 Mathematics by VP Classes > Points to Remember - Practical Geometry

Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes PDF Download

Q: 3. What is the method to construct an angle bisector?

Ans. To construct an angle bisector, follow these steps:1. Draw an angle with vertex O and two arms OA and OB.2. With O as the center, draw an arc that intersects OA and OB at two points, say P and Q.3. With P and Q as centers, draw arcs of the same radius that intersect each other at point R.4. Join O and R. The line OR is the angle bisector of angle AOB.

WE KNOW THAT
A triangle has six elements—3 sides and 3 angles. To construct a unique triangle, 3 elements out of six elements are required under a certain combination. A quadrilateral has 8 elements—4 sides and 4 angles. In addition to these elements a quadrilateral has 2 diagonals which play an important role in determining the size and shape of a quadrilateral. Thus a quadrilateral has 10 elements (4 sides, 4 angles and 2 diagonals) or measurements.

CONSTRUCTING A QUADRILATERAL
To construct a unique quadrilateral we need to know 5 measurements (elements).
Note: To construct a unique quadrilateral simply the knowledge of any five elements is not sufficient.
We will need to know a combination of specific 5 elements.

VARIOUS COMBINATIONS OF ELEMENTS FOR CONSTRUCTING A UNIQUE QUADRILATERAL
With the help of the following measurements we can construct quadrilaterals.
(i) Four sides and a diagonal.
(ii) Three sides and two diagonals.
(iii) Four sides and an angle.
(iv) Three sides and two included angles.
(v) Two adjacent sides and three angles.
(vi) Using special properties of a square or a rhombus, etc.

Solved Example:
Question: Suppose the two sides of the triangle are of the same length of 5.5 cm. One of the angles made by this side of the triangle is 80°. Find the other two angles. Construct the triangle.
Solution: Since the two sides of the triangle are of the same length, the angles made by them with the base will always be the same. The angles made by them are of 80° each. By the property of the sum of the interior angles of a triangle, we have
x + 80° + 80° = 180° (let the third angle is of x degrees).
or, x = 180° – 160° = 20°.
The required triangle
Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes

Question: What is the maximum number of regions into which a chord will divide a circle?
a. 1
b. 2
c. 3
d. 4
Solution: 2. The maximum number of regions into which a chord will divide a circle is 2, as AB is the chord which divides the circle into two regions.
Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes

Question: Which of the following angle is possible to construct using a compass?
a. 60 °
b. 32 °
c. 51.25 °
d. 40 °
Solution: A. 60 ° angle is possible to construct using a compass.

Question: To construct a line segment of a given length, which of the following pairs of instruments are needed?
a. Ruler and Protractor
b. Ruler and Compass
c. Compass and Divider
d. Protractor and Divider
Solution: B. Ruler and Compass are used to construct a line segment.

Question: If PQ is the perpendicular bisector of AB then PQ divides AB in the ratio:
a. 1: 2
b. 1: 3
c. 2: 3
d. 1: 1
Solution: D. The perpendicular bisector always divides the segment into 2 equal parts.

∴ PQ divides AB in the ratio 1: 1.

The document Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes is a part of the Class 8 Course Class 8 Mathematics by VP Classes.

All you need of Class 8 at this link: Class 8

	Class 8 Mathematics by VP Classes 90 docs\|16 tests

Class 8 Mathematics by VP Classes

90 docs|16 tests

Join Course for Free

Top Courses for Class 8

View all

FAQs on Points to Remember - Practical Geometry - Class 8 Mathematics by VP Classes

1. What are the basic concepts of practical geometry in Class 8?

Ans. The basic concepts of practical geometry in Class 8 include understanding lines, angles, triangles, quadrilaterals, and their properties. Students learn to construct various geometrical shapes using a compass, ruler, and protractor.

2. How can I construct a perpendicular bisector of a line segment?

Ans. To construct a perpendicular bisector of a line segment, follow these steps: 1. Draw the given line segment AB. 2. With A as the center, draw an arc that intersects the line segment at two points, say P and Q. 3. With Q as the center, draw another arc of the same radius that intersects the previous arc at R. 4. Join R and P. The line RP is the perpendicular bisector of the line segment AB.

3. What is the method to construct an angle bisector?

Ans. To construct an angle bisector, follow these steps: 1. Draw an angle with vertex O and two arms OA and OB. 2. With O as the center, draw an arc that intersects OA and OB at two points, say P and Q. 3. With P and Q as centers, draw arcs of the same radius that intersect each other at point R. 4. Join O and R. The line OR is the angle bisector of angle AOB.

4. How can I construct a triangle when given its three sides?

Ans. To construct a triangle when given its three sides, follow these steps: 1. Draw a line segment AB, representing one side of the triangle. 2. With A as the center, draw an arc with a radius equal to the length of the second side. 3. With B as the center, draw another arc with a radius equal to the length of the third side. Both arcs should intersect at a point, say C. 4. Join AC and BC. ABC is the required triangle.

5. Can you explain how to construct a parallelogram when given its two adjacent sides and an angle between them?

Ans. To construct a parallelogram when given its two adjacent sides and an angle between them, follow these steps: 1. Draw a line segment AB, representing one side of the parallelogram. 2. With A as the center, draw an arc with a radius equal to the length of the second side. 3. With B as the center, draw another arc with a radius equal to the length of the first side. Both arcs should intersect at a point, say C. 4. Join AC and BC. ABC is the required parallelogram.

Related Exams

Class 8

About this Document

	2.1K Views
	4.70/5 Rating
	Dec 22, 2024 Last updated

Document Description: Points to Remember - Practical Geometry for Class 8 2024 is part of Class 8 Mathematics by VP Classes preparation. The notes and questions for Points to Remember - Practical Geometry have been prepared according to the Class 8 exam syllabus. Information about Points to Remember - Practical Geometry covers topics like and Points to Remember - Practical Geometry Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Points to Remember - Practical Geometry.

Introduction of Points to Remember - Practical Geometry in English is available as part of our Class 8 Mathematics by VP Classes for Class 8 & Points to Remember - Practical Geometry in Hindi for Class 8 Mathematics by VP Classes course. Download more important topics related with notes, lectures and mock test series for Class 8 Exam by signing up for free. Class 8: Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes

Description

Full syllabus notes, lecture & questions for Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes - Class 8 | Plus excerises question with solution to help you revise complete syllabus for Class 8 Mathematics by VP Classes | Best notes, free PDF download

Information about Points to Remember - Practical Geometry

In this doc you can find the meaning of Points to Remember - Practical Geometry defined & explained in the simplest way possible. Besides explaining types of Points to Remember - Practical Geometry theory, EduRev gives you an ample number of questions to practice Points to Remember - Practical Geometry tests, examples and also practice Class 8 tests

	Class 8 Mathematics by VP Classes 90 docs\|16 tests

Class 8 Mathematics by VP Classes

90 docs|16 tests

Join Course for Free

Download as PDF

Explore Courses for Class 8 exam

Top Courses for Class 8

Explore Courses

Signup for Free!

Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.

Start learning for Free

10M+ students study on EduRev

Semester Notes

video lectures

ppt

Previous Year Questions with Solutions

mock tests for examination

pdf

practice quizzes

Sample Paper

Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes

Viva Questions

study material

Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes

Important questions

Exam

past year papers

shortcuts and tricks

Points to Remember - Practical Geometry | Class 8 Mathematics by VP Classes

Free

Summary

Extra Questions

MCQs

Objective type Questions

;

Additional Information about Points to Remember - Practical Geometry for Class 8 Preparation

Points to Remember - Practical Geometry Free PDF Download

The Points to Remember - Practical Geometry is an invaluable resource that delves deep into the core of the Class 8 exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the Points to Remember - Practical Geometry now and kickstart your journey towards success in the Class 8 exam.

Importance of Points to Remember - Practical Geometry

The importance of Points to Remember - Practical Geometry cannot be overstated, especially for Class 8 aspirants. This document holds the key to success in the Class 8 exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

Points to Remember - Practical Geometry Notes

Points to Remember - Practical Geometry Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to Points to Remember - Practical Geometry. It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, Points to Remember - Practical Geometry Notes on EduRev are your ultimate resource for success.

Points to Remember - Practical Geometry Class 8 Questions

The "Points to Remember - Practical Geometry Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study Points to Remember - Practical Geometry on the App

Students of Class 8 can study Points to Remember - Practical Geometry alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the Points to Remember - Practical Geometry, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of Points to Remember - Practical Geometry is prepared as per the latest Class 8 syllabus.

Education Revolution