Construction of Parallelogram (Rhombus)

Given The Length of The Two Sides and One Angle At 60°:

(Not Drawn to Scale)

Steps:

• Draw one side AB = 4 cm.

• Construct the given angle BAK = 60°.

• With A as centre and radius 3 cm cut off AK at D

• With B as centre draw an arc of radius 3cm

• With D as centre and radii equal to 4 cm draw an arc cutting the arc drawn in the previous step at C.

• Join CD and BC.

Then ABCD is the required parallelogram.

Construction of Rhombus Given Its Side and a Diagonal:

Steps:

• Draw AB = 6 cm which is one of the diagonals of the rhombus.

• The four sides of a rhombus are congruent. One side of a rhombus = 5cm, Hence all the sides of the rhombus = 5 cm.

• Take A as the centre and draw arcs above and below AB.

• Similarly, Take B as the centre and draw arcs above and below AB.

• The point of intersection of the arcs above AB is the vertex D

• The point of intersection of the arcs below AB is the vertex C

The required Rhombus is ACBD.