Q5 of 22 Page 111

Construct each of the following and give justification:

A rhombus whose diagonals are 4 cm and 6 cm in lengths.

Steps of Construction:


(i) Draw ray XY.



(ii) Draw perpendicular bisector of XY.



(iii) Let the intersection point be O.



(iv)With O as centre, and radius 2 cm (since 4/2 = 2), cut arcs on XY as C and D.


Similarly with O as centre, and radius 3 cm(since 3 + 3 = 6), cut arcs on both sides of the bisector as AB.



(v)Join AC, AD, BC and BD.



Thus, ABCD is the required rhombus.


More from this chapter

All 22 →
1

Construct each of the following and give justification:

A triangle if its perimeter is 10.4 cm and two angles are 45° and 120°.

 2

Construct each of the following and give justification:

A triangle PQR given that QR = 3cm, ∠PQR = 45° and QP – PR = 2 cm.

 3

Construct each of the following and give justification:

A right triangle when one side is 3.5 cm and sum of other side and the hypotenuse is 5.5 cm.

 4

Construct each of the following and give justification:

An equilateral triangle if its altitude is 3.2 cm.