Construct a regular hexagon of side 2 cm, using ruler and compasses only.

We know that each angle in a regular hexagon = 120°.

Steps of construction :

1. Draw a line segment AB = 2 cm.

2. At A and B, draw ∠ABC = 120° each and cut off AF = BC = 2 cm.

3. At F and C, draw rays making angle of 120° each and cut off EF = CD = 2 cm.

4. Join ED. Hence, ABCDEF is the required hexagon.

Hence, ABCDEF is required regular hexagon.