Question

Construct a regular hexagon of side 5 cm. Hence construct all its lines of symmetry and name them.

Draw a regular hexagon of side 5 cm.

Answer 1

Steps of construction:

1. Draw AF measuring 5 cm using a ruler.
2. With A as the centre and radius equal to AF, draw an arc above AF.
3. With F as the centre, and the same radius cut the previous arc at Z.
4. With Z as the centre and same radius draw a circle passing through A and F.
5. With A as the centre and same radius, draw an arc to cut the circle above AF at B.
6. With B as the centre and same radius, draw ar arc to cut the circle at C.
7. Repeat this process to get remaining vertices of the hexagon at D and E.
8. Join consecutive arcs on the circle to form the hexagon.
9. Draw the perpendicular bisectors of AF, FE and DE.
10. Extend the bisectors of AF, FE and DE to meet CD, BC and AB at X, L and O respectively.
11. Join AD, CF and EB.
12. These are the 6 lines of symmetry of the regular hexagon.