RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.1 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 7.1.

Board |
RBSE |

Textbook |
SIERT, Rajasthan |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 7 |

Chapter Name |
Construction of Quadrilaterals |

Exercise |
Exercise 7.1 |

Number of Questions |
5 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.1

Question 1.

Construct a quadrilateral ABCD in which AB = 4.0 cm., BC = 6.0 cm., CD = DA = 5.2 cm. and AC = 8.0 cm.

Solution

Draw a rough sketch of the given measurements.

Steps of Construction

- First of all we draw a line segment AB of length 4.0 cm.
- Draw a arc of length 6.0 cm(RBSESolutions.com)from point B and an arc of radius 8.0 cm from point A. Both arcs cuts each other at point C. Join AC and BC. So, we obtained a triangle ABC.
- Two arcs of radius 5.2 cm. each, are drawn from points A and C intersecting each other at point D. Join AD and CD.

Thus, we obtained a required quadrilateral ABCD.

Question 2.

Construct a quadrilateral JUMP in which JU = 3.5 cm., UM = 4.0 cm., MP = 5.0 cm., PJ = 4.5 cm. and PU = 6.5 cm.

Solution

Draw a rough sketch of the(RBSESolutions.com)given measurements :

Steps of Construction

- First, we draw a line segment of length JU = 3.5 cm.
- Draw an arc of radius 6.5 cm. from point U and an arc of radius 4.5 cm. from point J which cuts the first arc at point P. Join UP and JP. So, we obtained a triangle JUP.
- Taking P as center draw(RBSESolutions.com)an arc of radius 5.0 cm. draw an arc of radius 4.0 cm. from point U. Both arc intersect each other at M.
- Join PM and UM.
- Thus, we obtained a required quadrilateral JUMP.

Question 3.

Construct a parallelogram MORE in which MO = 3.6 cm., OR = 4.2 cm., MR = 6.5 cm. Measure the remaining sides and write them in your notebook.

Solution

Draw a rough sketch of the given(RBSESolutions.com)measurements

Steps of Construction

- First of all we draw a line segment MO = 3.6 cm.
- Draw an arc of radius 4.2 cm. from point O and an arc of radius 6.5 cm. from point M which intersect each other at R. Join MR and OR. So, we(RBSESolutions.com)obtained a triangle MOR.
- Draw an arc of radius 4.2 cm. from point M and an arc of radius 3.6 cm. from R which intersect each other at E. Join ME and ER. Thus, we get a required parallelogram MORE. Measure of remaining sides are RE = 3.6 cm. and ME 4.2 cm.

Question 4.

Construct a rhombus BEST in which BE = 4.5 cm. and ET = 6.0 cm. Then measure the diagonals BS.

Solution

Draw a rough sketch of the given measurements :

Steps of Construction

- First of all we draw a line segment BE = 4.5 cm.
- Draw an arc of radius 4.5 cm. from(RBSESolutions.com)point B and an arc of radius 6.5 cm from point E which intersect each other at T. Join BT and ET. So, we obtained a triangle BET.

- Draw an arc of radius 4.5 cm. from point T and an arc of radius 4.5 from E which intersect each other at S. Join ES and TS.

Thus, we obtained a required rhombus BEST.

The measure of diagonal BS is 6.8 cm.

Question 5.

Construct a quadrilateral PQRS in which PQ = 4.4 cm., QR = 4.0 cm., RS = 6.4 cm., SP = 2.8 cm. and QS = 6.6 cm. Measure the diagonal PR.

Solution

First of all we draw a rough sketch of the given measurements :

Steps of Construction

- First of all we draw a line of segment PQ = 4.4 cm.
- Draw an arc of radius 2.8 cm. from point P and an arc of radius 6.6 cm. from point Q which intersect to each other of point S. Join PS and QS. So, we obtained a triangle PQS.
- Taking S as centre draw an arc(RBSESolutions.com)of radius 6.4 cm. and taking Q as centre draw an arc of radius 4 cm. which intersect to each other at point R. Join RQ and RS.

Thus, we obtained a required quadrilateral PQRS.

Length of diagonal PR = 6 cm.

We hope the given RBSE Solutions for Class 8 Maths Chapter 7 Construction of Quadrilaterals Ex 7.1 will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 7 Construction of Quadrilaterals Exercise 7.1, drop a comment below and we will get back to you at the earliest.

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