Open App

Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Practical Geometry (Constructions) - EXERCISE 18.5

Practical Geometry (Constructions) - EXERCISE 18.5 | Mathematics (Maths) Class 8 PDF Download

Download, print and study this document offline

Please wait while the PDF view is loading

 Page 1


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
EXERCISE 18.5                                                 PAGE NO: 18.13 
 
1. Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ?A = 
75°, ?B = 80° and ?C = 120°. 
Solution: 
The given details are AB = 4 cm, BC = 3 cm, ?A = 75°, ?B = 80° and ?C = 120°. 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 4cm 
Step 2- Construct and angle of 75
o
 at A. 
Step 3- Construct and angle of 80
o
 at B. 
Step 4- Cut an arc of radius 3cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 120
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
2. Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, ?A = 
60°, ?B = 105° and ?D = 90°. 
Solution: 
The given details are AB = 5.5 cm, BC = 3.7 cm, ?A = 60°, ?B = 105° and ?D = 90°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 105
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 5.5cm 
Step 2- Construct and angle of 60
o
 at A. 
Step 3- Construct and angle of 105
o
 at B. 
Page 2


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
EXERCISE 18.5                                                 PAGE NO: 18.13 
 
1. Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ?A = 
75°, ?B = 80° and ?C = 120°. 
Solution: 
The given details are AB = 4 cm, BC = 3 cm, ?A = 75°, ?B = 80° and ?C = 120°. 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 4cm 
Step 2- Construct and angle of 75
o
 at A. 
Step 3- Construct and angle of 80
o
 at B. 
Step 4- Cut an arc of radius 3cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 120
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
2. Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, ?A = 
60°, ?B = 105° and ?D = 90°. 
Solution: 
The given details are AB = 5.5 cm, BC = 3.7 cm, ?A = 60°, ?B = 105° and ?D = 90°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 105
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 5.5cm 
Step 2- Construct and angle of 60
o
 at A. 
Step 3- Construct and angle of 105
o
 at B. 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
Step 4- Cut an arc of radius 3.7cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 105
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
3. Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 
105° and ?S = 75°. 
Solution: 
The given details are PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 105° and ?S = 75°. 
We know that ?P + ?Q + ?R + ?S = 360
o
 
? ?Q = 75
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line PQ = 3.5cm 
Step 2- Construct and angle of 105
o
 at P. 
Step 3- Construct and angle of 75
o
 at Q. 
Step 4- Cut an arc of radius 6.5cm with Q as the center to mark that point as R. 
Step 5- Construct and angle of 105
o
 at R such that it meets the line segment PX, mark 
that point as S. 
Step 6- Now join QR, RS and PS 
Page 3


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
EXERCISE 18.5                                                 PAGE NO: 18.13 
 
1. Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ?A = 
75°, ?B = 80° and ?C = 120°. 
Solution: 
The given details are AB = 4 cm, BC = 3 cm, ?A = 75°, ?B = 80° and ?C = 120°. 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 4cm 
Step 2- Construct and angle of 75
o
 at A. 
Step 3- Construct and angle of 80
o
 at B. 
Step 4- Cut an arc of radius 3cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 120
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
2. Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, ?A = 
60°, ?B = 105° and ?D = 90°. 
Solution: 
The given details are AB = 5.5 cm, BC = 3.7 cm, ?A = 60°, ?B = 105° and ?D = 90°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 105
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 5.5cm 
Step 2- Construct and angle of 60
o
 at A. 
Step 3- Construct and angle of 105
o
 at B. 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
Step 4- Cut an arc of radius 3.7cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 105
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
3. Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 
105° and ?S = 75°. 
Solution: 
The given details are PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 105° and ?S = 75°. 
We know that ?P + ?Q + ?R + ?S = 360
o
 
? ?Q = 75
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line PQ = 3.5cm 
Step 2- Construct and angle of 105
o
 at P. 
Step 3- Construct and angle of 75
o
 at Q. 
Step 4- Cut an arc of radius 6.5cm with Q as the center to mark that point as R. 
Step 5- Construct and angle of 105
o
 at R such that it meets the line segment PX, mark 
that point as S. 
Step 6- Now join QR, RS and PS 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
 
 
4. Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ?A = 70°, ?B = 
110° and ?D = 85°. 
Solution: 
The given details are BC = 5.5 cm, CD = 4.1 cm, ?A = 70°, ?B = 110° and ?D = 85°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 95
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line BC = 5.5cm 
Step 2- Construct and angle of 110
o
 at B. 
Step 3- Construct and angle of 95
o
 at C. 
Step 4- Cut an arc of radius 4.1cm with C as the center to mark that point as D. 
Step 5- Construct and angle of 85
o
 at D such that it meets the line segment BX, mark that 
point as A. 
Step 6- Now join CD, DA and BA 
Page 4


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
EXERCISE 18.5                                                 PAGE NO: 18.13 
 
1. Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ?A = 
75°, ?B = 80° and ?C = 120°. 
Solution: 
The given details are AB = 4 cm, BC = 3 cm, ?A = 75°, ?B = 80° and ?C = 120°. 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 4cm 
Step 2- Construct and angle of 75
o
 at A. 
Step 3- Construct and angle of 80
o
 at B. 
Step 4- Cut an arc of radius 3cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 120
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
2. Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, ?A = 
60°, ?B = 105° and ?D = 90°. 
Solution: 
The given details are AB = 5.5 cm, BC = 3.7 cm, ?A = 60°, ?B = 105° and ?D = 90°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 105
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 5.5cm 
Step 2- Construct and angle of 60
o
 at A. 
Step 3- Construct and angle of 105
o
 at B. 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
Step 4- Cut an arc of radius 3.7cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 105
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
3. Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 
105° and ?S = 75°. 
Solution: 
The given details are PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 105° and ?S = 75°. 
We know that ?P + ?Q + ?R + ?S = 360
o
 
? ?Q = 75
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line PQ = 3.5cm 
Step 2- Construct and angle of 105
o
 at P. 
Step 3- Construct and angle of 75
o
 at Q. 
Step 4- Cut an arc of radius 6.5cm with Q as the center to mark that point as R. 
Step 5- Construct and angle of 105
o
 at R such that it meets the line segment PX, mark 
that point as S. 
Step 6- Now join QR, RS and PS 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
 
 
4. Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ?A = 70°, ?B = 
110° and ?D = 85°. 
Solution: 
The given details are BC = 5.5 cm, CD = 4.1 cm, ?A = 70°, ?B = 110° and ?D = 85°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 95
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line BC = 5.5cm 
Step 2- Construct and angle of 110
o
 at B. 
Step 3- Construct and angle of 95
o
 at C. 
Step 4- Cut an arc of radius 4.1cm with C as the center to mark that point as D. 
Step 5- Construct and angle of 85
o
 at D such that it meets the line segment BX, mark that 
point as A. 
Step 6- Now join CD, DA and BA 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions)
5. Construct a quadrilateral ABCD ?A = 65°, ?B = 105°, ?C = 75°, BC = 5.7 cm 
and CD = 6.8 cm.
Solution:
The given details are ?A = 65°, ?B = 105°, ?C = 75°, BC = 5.7 cm and CD = 6.8 cm. 
We know that ?A + ?B + ?C + ?D = 360
o
? ?D = 115
o
Steps to construct a quadrilateral:
Step 1- Draw a line BC = 5.7cm
Step 2- Construct and angle of 105
o
 at B.
Step 3- Construct and angle of 75
o
 at C.
Step 4- Cut an arc of radius 6.8cm with C as the center to mark that point as D.
Step 5- Construct and angle of 115
o
 at D such that it meets the line segment BX, mark 
that point as A.
Step 6- Now join CD, DA and BA
Page 5


 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
EXERCISE 18.5                                                 PAGE NO: 18.13 
 
1. Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ?A = 
75°, ?B = 80° and ?C = 120°. 
Solution: 
The given details are AB = 4 cm, BC = 3 cm, ?A = 75°, ?B = 80° and ?C = 120°. 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 4cm 
Step 2- Construct and angle of 75
o
 at A. 
Step 3- Construct and angle of 80
o
 at B. 
Step 4- Cut an arc of radius 3cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 120
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
2. Construct a quadrilateral ABCD where AB = 5.5 cm, BC = 3.7 cm, ?A = 
60°, ?B = 105° and ?D = 90°. 
Solution: 
The given details are AB = 5.5 cm, BC = 3.7 cm, ?A = 60°, ?B = 105° and ?D = 90°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 105
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line AB = 5.5cm 
Step 2- Construct and angle of 60
o
 at A. 
Step 3- Construct and angle of 105
o
 at B. 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
Step 4- Cut an arc of radius 3.7cm with B as the center to mark that point as C. 
Step 5- Construct and angle of 105
o
 at C such that it meets the line segment AX, mark 
that point as D. 
Step 6- Now join BC, CD and DA 
 
 
3. Construct a quadrilateral PQRS where PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 
105° and ?S = 75°. 
Solution: 
The given details are PQ = 3.5 cm, QR = 6.5 cm, ?P = ?R = 105° and ?S = 75°. 
We know that ?P + ?Q + ?R + ?S = 360
o
 
? ?Q = 75
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line PQ = 3.5cm 
Step 2- Construct and angle of 105
o
 at P. 
Step 3- Construct and angle of 75
o
 at Q. 
Step 4- Cut an arc of radius 6.5cm with Q as the center to mark that point as R. 
Step 5- Construct and angle of 105
o
 at R such that it meets the line segment PX, mark 
that point as S. 
Step 6- Now join QR, RS and PS 
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
 
 
4. Construct a quadrilateral ABCD when BC = 5.5 cm, CD = 4.1 cm, ?A = 70°, ?B = 
110° and ?D = 85°. 
Solution: 
The given details are BC = 5.5 cm, CD = 4.1 cm, ?A = 70°, ?B = 110° and ?D = 85°. 
We know that ?A + ?B + ?C + ?D = 360
o
 
? ?C = 95
o
 
Steps to construct a quadrilateral: 
Step 1- Draw a line BC = 5.5cm 
Step 2- Construct and angle of 110
o
 at B. 
Step 3- Construct and angle of 95
o
 at C. 
Step 4- Cut an arc of radius 4.1cm with C as the center to mark that point as D. 
Step 5- Construct and angle of 85
o
 at D such that it meets the line segment BX, mark that 
point as A. 
Step 6- Now join CD, DA and BA 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions)
5. Construct a quadrilateral ABCD ?A = 65°, ?B = 105°, ?C = 75°, BC = 5.7 cm 
and CD = 6.8 cm.
Solution:
The given details are ?A = 65°, ?B = 105°, ?C = 75°, BC = 5.7 cm and CD = 6.8 cm. 
We know that ?A + ?B + ?C + ?D = 360
o
? ?D = 115
o
Steps to construct a quadrilateral:
Step 1- Draw a line BC = 5.7cm
Step 2- Construct and angle of 105
o
 at B.
Step 3- Construct and angle of 75
o
 at C.
Step 4- Cut an arc of radius 6.8cm with C as the center to mark that point as D.
Step 5- Construct and angle of 115
o
 at D such that it meets the line segment BX, mark 
that point as A.
Step 6- Now join CD, DA and BA
 
 
 
 
RD Sharma Solutions for Class 8 Maths Chapter 18 
– Practical Geometry (Constructions) 
 
 
6. Construct a quadrilateral PQRS in which PQ = 4 cm, QR = 5 cm ?P = 50°, ?Q = 
110° and ?R = 70°. 
Solution: 
The given details are PQ = 4 cm, QR = 5 cm ?P = 50°, ?Q = 110° and ?R = 70°. 
Steps to construct a quadrilateral: 
Step 1- Draw a line PQ = 4cm 
Step 2- Construct and angle of 50
o
 at P. 
Step 3- Construct and angle of 110
o
 at Q. 
Step 4- Cut an arc of radius 5cm with Q as the center to mark that point as R. 
Step 5- Construct and angle of 70
o
 at R such that it meets the line segment PX, mark that 
point as S. 
Step 6- Now join QR, RS and PS

	Mathematics (Maths) Class 8 79 videos\|408 docs\|31 tests

Mathematics (Maths) Class 8

79 videos|408 docs|31 tests

Join Course for Free

Top Courses for Class 8

View all

Related Exams

Class 8

About this Document

	4.96/5 Rating
	Nov 21, 2024 Last updated

Document Description: Practical Geometry (Constructions) - EXERCISE 18.5 for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation. The notes and questions for Practical Geometry (Constructions) - EXERCISE 18.5 have been prepared according to the Class 8 exam syllabus. Information about Practical Geometry (Constructions) - EXERCISE 18.5 covers topics like and Practical Geometry (Constructions) - EXERCISE 18.5 Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Practical Geometry (Constructions) - EXERCISE 18.5.

Introduction of Practical Geometry (Constructions) - EXERCISE 18.5 in English is available as part of our Mathematics (Maths) Class 8 for Class 8 & Practical Geometry (Constructions) - EXERCISE 18.5 in Hindi for Mathematics (Maths) Class 8 course. Download more important topics related with notes, lectures and mock test series for Class 8 Exam by signing up for free. Class 8: Practical Geometry (Constructions) - EXERCISE 18.5 | Mathematics (Maths) Class 8

Description

Full syllabus notes, lecture & questions for Practical Geometry (Constructions) - EXERCISE 18.5 | Mathematics (Maths) Class 8 - Class 8 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 8 | Best notes, free PDF download

Information about Practical Geometry (Constructions) - EXERCISE 18.5

In this doc you can find the meaning of Practical Geometry (Constructions) - EXERCISE 18.5 defined & explained in the simplest way possible. Besides explaining types of Practical Geometry (Constructions) - EXERCISE 18.5 theory, EduRev gives you an ample number of questions to practice Practical Geometry (Constructions) - EXERCISE 18.5 tests, examples and also practice Class 8 tests

	Mathematics (Maths) Class 8 79 videos\|408 docs\|31 tests

Mathematics (Maths) Class 8

79 videos|408 docs|31 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

ppt

Practical Geometry (Constructions) - EXERCISE 18.5 | Mathematics (Maths) Class 8

Objective type Questions

past year papers

Practical Geometry (Constructions) - EXERCISE 18.5 | Mathematics (Maths) Class 8

Free

study material

video lectures

Summary

Viva Questions

MCQs

Extra Questions

Exam

Important questions

practice quizzes

shortcuts and tricks

pdf

mock tests for examination

Sample Paper

Previous Year Questions with Solutions

Semester Notes

;

Additional Information about Practical Geometry (Constructions) - EXERCISE 18.5 for Class 8 Preparation

Practical Geometry (Constructions) - EXERCISE 18.5 Free PDF Download

The Practical Geometry (Constructions) - EXERCISE 18.5 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 Practical Geometry (Constructions) - EXERCISE 18.5 now and kickstart your journey towards success in the Class 8 exam.

Importance of Practical Geometry (Constructions) - EXERCISE 18.5

The importance of Practical Geometry (Constructions) - EXERCISE 18.5 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.

Practical Geometry (Constructions) - EXERCISE 18.5 Notes

Practical Geometry (Constructions) - EXERCISE 18.5 Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to Practical Geometry (Constructions) - EXERCISE 18.5. 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, Practical Geometry (Constructions) - EXERCISE 18.5 Notes on EduRev are your ultimate resource for success.

Practical Geometry (Constructions) - EXERCISE 18.5 Class 8 Questions

The "Practical Geometry (Constructions) - EXERCISE 18.5 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 Practical Geometry (Constructions) - EXERCISE 18.5 on the App

Students of Class 8 can study Practical Geometry (Constructions) - EXERCISE 18.5 alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the Practical Geometry (Constructions) - EXERCISE 18.5, 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 Practical Geometry (Constructions) - EXERCISE 18.5 is prepared as per the latest Class 8 syllabus.

Education Revolution