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.

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.
4. Join AD and CD.
   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.
5. Join CD and AD.
   Thus, we obtained the required square ABCD.
   

We hope the given RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.3 will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.3, drop a comment below and we will get back to you at the earliest.