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