• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2022
    • RBSE Class 10th Board Model Papers 2022
    • RBSE Class 8th Board Model Papers 2022
    • RBSE Class 5th Board Model Papers 2022
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English First Flight & Footprints without Feet
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6

March 18, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.6.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 8
Subject Maths
Chapter Chapter 7
Chapter Name Construction of Quadrilaterals
Exercise Exercise 7.6
Number of Questions 7
Category RBSE Solutions

Rajasthan Board RBSE Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6

Question 1.
Construct a square in which :
(i) Perimeter is 20 cm.
(ii) Sum(RBSESolutions.com)of two adjacent sides is 9 cm.
Solution
(i) Given that perimeter of a square = 20 cm.
∴ side of a square = \(\frac { Perimeter }{ 4 }\)
= \(\frac { 20 }{ 4 }\) = 5cm.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-1
We draw a square whose side = 5 cm.
We know that each angle of a square = 90°
Steps of Construction
(1) First(RBSESolutions.com)of all draw a line segment AB = 5 cm.
(2) At the point A and B, construct ∠BAX = 90° and ∠ABY = 90° respectively with AB.
(3) From ray AX cuts AD = 5 cm. and from ray by cuts BC = 5 cm.
(4) Join CD.
Thus, we obtained required square ABCD.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-2
(ii) Draw a rough sketch of square of given measurements.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-3
Given that
Sum of two adjacent sides = 9 cm.
So each(RBSESolutions.com)side of square = \(\frac { 9 }{ 2 }\) = 4.5 cm.
Steps of Construction
(1) First of all we draw a line segment AB = 4.5 cm.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-4
(2) At the point A and B we construct ∠BAX = 90° and ∠ABY = 90° with AB respectively.
(3) Similarly from point B, an angle of 90° in made and arc of 4.5 cm is cut. Here, mark this point as C.
(4) Join C and D.
Thus, we(RBSESolutions.com)obtained a square ABCD.

RBSE Solutions

Question 2.
Construct a square PQRS in which diagonals meets at point O and PO = 2.8 cm.
Solution
First of all we draw a rough sketch of square ABCD of given measurements.
By properties of square we know that diagonals of a square are equal at bisect each other,
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-5
∵PO = 2.8 cm.
∴PR = 2 x PO
= 2 x 2.8
= 5.6 cm.
Steps of Construction
(i) We draw a line segment of diagonal PR = 5.6 cm.
(ii) Draw(RBSESolutions.com)perpendicular bisector XY of PR which intersect at point O.
(iii) Taking O as centre, draw an arc of radius 2.8 cm., both sides of PR which cuts perpendicular bisector XY at Q and S.
(iv) Join PQ, QR, RS and SP.
(v) Thus, we obtained required square PQRS.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-6

Question 3.
Construct a rectangle while adjacent sides are 8 cm. and 6 cm. respectively.
Solution
First of all we draw a rough sketch of the given measurements :
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-7
Steps of Construction
(i) First of all we draw a line segment AB = 8 cm.
(ii) At point A construct ∠BAX = 90° with AB.
(iii) From AX cut AD = 6 cm., an arc of 6.0 cm is cut on AX and marked a point D.
(iv) Similarly at(RBSESolutions.com)point B draw ∠ABY = 90° with AB and cut BC = 6 cm from ray BY.
(v) Join CD.
Thus, we obtained required rectangle ABCD.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-8

RBSE Solutions

Question 4.
Construct a rectangle PQRS while PQ = 5.5 cm. and diagonal QS = 6.2 cm.
Solution
Draw a rough sketch of given measurements :
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-17
From rectangle properties each angle of a rectangle is 90° and opposite sides are equal and parallel to each other and diagonals are also equal to each other.
Steps of Construction
(i) First of all draw a line segment PQ = 5.5 cm.
(ii) At points P and Q construct ∠QPX = 90° and ∠PQY = 90° with PQ respectively.
(iii) At point P, draw an arc(RBSESolutions.com)of radius 6.2 cm. intersecting ray QY at point R. Join PR.
(iv) At point Q, draw an arc of radius 6.2 cm. intersecting ray PX at S. Join QS and SR. Thus, we obtained a rectangle PQRS.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-10

RBSE Solutions

Question 5.
Construct a rectangle EFGH while EF = 4.0 cm. and diagonal EG = 5.0 cm.
Solution
First of all we draw a rough sketch of given measurements :
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-11
Steps of Construction
(i) First of all we draw a line segment EF = 4.0 cm.
(ii) At point E and F construct ∠FEX = 90° and ∠EFY = 90° with EF respectively with rules and compass only.
(iii) An arc of 5 cm. from(RBSESolutions.com)point E cut on FY and marked the point as G.
(iv) Similarly, an arc of 5 cm. is cut on EX and marked this point at H.
(v) Join EG, FG and GH.
Thus, we obtained required rectangle EFGH.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-12

RBSE Solutions

Question 6.
Construct a rhombus DEFG while FG = 4.8 cm and diagonal EG = 3.4 cm.
Solution
First of all we draw a rough sketch of given measurement :
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-13
Steps of Construction
(i) First of all we draw a diagonal EG = 3.4 cm.
(ii) At point E and G, we draw two arc of radius 4.8 cm. and 4.8 cm. both side of EG intersecting each other at point D and F respectively.
(iii) Join ED, GD, GF and EF.
Thus, we obtained required rhombus DEFG.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-14

RBSE Solutions

Question 7.
Construct a rhombus ABCD while BC = 4.0 cm. and ∠B = 75°.
Solution
First of all we draw a rough sketch of given measurement :
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-15
In the case of parallelogram :
∠B + ∠C = 180°
∠C = 180° – ∠B
= 180° – 75°
∠C = 105°
Steps of Construction
(i) We draw a line BC = 4 cm.
(ii) At point B and C respectively we construct ∠CBX = 75° and ∠BCY = 105° with BC with the help of ruler and compass only.
(iii) From(RBSESolutions.com)point B and C, two arc of each 4 cm. are cut on BX and CY. Mark these point A and D respectively.
(iv) Join AD.
Thus, we obtained required rhombus ABCD.
RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 img-16

RBSE Solutions

We hope the given RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.6 will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.6, drop a comment below and we will get back to you at the earliest.

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)

Related

Filed Under: Class 8

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Rajasthan Board Questions and Answers

Recent Posts

  • RBSE Class 10 Science Notes Chapter 11 Work, Energy and Power
  • RBSE Solutions for Class 11 Physics Chapter 4 Laws of Motion
  • RBSE Solutions for Class 11 Physics Chapter 13 Thermodynamics
  • RBSE Class 10 Maths Important Questions Chapter 3 Pair of Linear Equations in Two Variables
  • RBSE Solutions for Class 10 Maths Chapter 2 Real Numbers Ex 2.2
  • RBSE Solutions for Class 7 Maths Chapter 15 Comparison of Quantities Additional Questions
  • RBSE Solutions for Class 11 Chemistry Chapter 7 Equilibrium
  • RBSE Solutions for Class 11 Chemistry Chapter 1 Basic Concepts of Chemistry
  • RBSE Solutions for Class 11 Chemistry Chapter 5 States of Matter: Gas and Liquid
  • RBSE Solutions for Class 12 Physics Chapter 15 Nuclear Physics
  • RBSE Class 9 Science Important Questions in Hindi & English Medium

Footer

RBSE Solutions for Class 12
RBSE Solutions for Class 11
RBSE Solutions for Class 10
RBSE Solutions for Class 9
RBSE Solutions for Class 8
RBSE Solutions for Class 7
RBSE Solutions for Class 6
RBSE Solutions for Class 5
RBSE Solutions for Class 12 Maths
RBSE Solutions for Class 11 Maths
RBSE Solutions for Class 10 Maths
RBSE Solutions for Class 9 Maths
RBSE Solutions for Class 8 Maths
RBSE Solutions for Class 7 Maths
RBSE Solutions for Class 6 Maths
RBSE Solutions for Class 5 Maths
Target Batch
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2022 RBSE Solutions

 

Loading Comments...