Polygons:

Polygons: Rotational Symmetry

A regular polygon has all sides and angles equal.

If we turn a polygon about its centre (centre of rotation) we find that there is more than 1 position in which the shape is the same as its starting position.

4th position

3rd position 2nd position

1st position

Starting Position

3rd position 2nd position

1st position

Starting Position

2nd position

1st position

Starting Position

1st position

Starting PositionStarting Position

Polygons: Rotational Symmetry

4th position

3rd position 2nd position

1st position

5th & End Position

Polygons: Rotational Symmetry

Conclusion for this

regular polygon.The order of rotational symmetry of a regular hexagon is 5.

Can we therefor say that the order of rotational symmetry of any regular polygon is equal to its number of sides?

1

2

3

4

5 This is equal to the number of sides of the hexagon.

Polygons: Rotational Symmetry

Conclusion for this

regular polygon.The order of rotational symmetry of a regular hexagon is 5.

Can we therefor say that the order of rotational symmetry of any regular polygon is equal to its number of sides?

1

2

3

4

5 This is equal to the number of sides of the hexagon.

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