# RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.3

RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.3 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 7.3.

 Board RBSE Textbook SIERT, Rajasthan Class Class 8 Subject Maths Chapter Chapter 7 Chapter Name Construction of Quadrilaterals Exercise Exercise 7.3 Number of Questions 5 Category RBSE Solutions

## Rajasthan Board RBSE Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.3

Question 1.
Construct a quadrilateral ABCD in which AB = BC = 3.0 cm., AD = CD = 5.0 cm. and ∠ABC = 120°.
Solution
First of all we draw a rough sketch of the given measurements :

Steps of Construction

1. First of all, we draw a line segment AB = 3.0 cm.
2. At point B(RBSESolutions.com)with the help of pencil and compass, construct ∠ABX = 120° with AB from BX cut BC = 3 cm.
3. Draw an arc of radius 5 cm. from point B and an arc of radius 5 cm. from point C intersecting each other at D. Join AD and CD. Thus, we obtained a required quadrilateral ABCD.

Question 2.
Construct a quadrilateral PQRS in which PQ = 2.8 cm., QR = 3.1 cm.. RS = 2.6 cm.. SP = 3.3 cm. and ∠P = 60°.
Solution
First of(RBSESolutions.com)all, we draw a rough sketch of the given measurements :

Steps of Construction

1. First of all, draw a line segment PQ = 2.8 cm.
2. At point P, we construct an angle of QPX = 60° with PQ with the help of pencil and compass. Take a arc of radius 3.3 cm. and cut PS from PX.
3. From(RBSESolutions.com)point S draw an arc of radius 2.6 cm. and from point Q an arc of radius 3.1 cm. draw intersecting each other at point R. Join SR and QR.
Thus, we obtained a required quadrilateral PQRS.

Question 3.
Construct a rectangle whose sides are 4.2 cm. and 2.5 cm. Measure its diagonal lengths.
Solution
Draw a rough sketch of given measurements :

Steps of Construction

1. First of all, we draw a line segment AB = 4.2 cm.
2. Construct ∠BAX = 90° at point A with AB with the help of a pencil and compass. An arc of 2.5 cm. cut from AX. Put D at the cut point.
3. Similarly, we construct ∠ABX = 90° with AB at point B and arc of 2.5 cm cut a point C from BY.
4. Join CD.
Thus, we get required ABCD
Measures(RBSESolutions.com)of AC and BD = 4.9 cm.

Question 4.
Construct a rhombus in which one angle? is 75° and one side is 5.2 cm.
Solution
First of all we draw a(RBSESolutions.com)rough sketch of the given measurements :
b
Steps of Construction

1. First, we draw a line segment AB = 5.2 cm.
2. At point B, we(RBSESolutions.com)draw ∠ABX = 75° with AB and cut an arc of 5.2 cm on BX. Mark the cut point as C.
3. Draw an arc of radius 5.2 cm. from C and cut an arc of radius 5.2 cm. from A. The point of intersection is marked as point D.
Thus, ABCD is,a required rhombus.

Question 5.
Draw a square with one side of 5 cm.
Solution
Draw a(RBSESolutions.com)rough sketch of the given measurements :

Steps of Construction

1. First of all, we draw a line segment AB = 5.1 cm.
2. Construct an angle ABX of 90° at B with the help of pencil and Compass.
3. Taking B(RBSESolutions.com)as a centre and radius 5.1 cm. is drawn an arc intersection BX at C.
4. Now taking A as centre, draw an arc of radius 5.1 cm. and taking C as centre draw an arc of 5.1 cm. intersection each other at point D.