1. Polygons:

2. 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.

3. Polygons: Rotational Symmetry
4th position
3rd position
2nd position
1st position
5th & End Position
4th position
3rd position
2nd position
1st position
Starting Position
3rd position
2nd position
1st position
Starting Position
Starting Position
1st position
Starting Position
2nd position
1st position
Starting Position

4. Polygons: Rotational Symmetry
Conclusion for this
regular polygon.
The order of rotational symmetry of a regular hexagon is 5. 5 1
This is equal to the number of sides of the hexagon. 4 2
Can we therefor say that the order of rotational symmetry of any regular polygon is equal to its number of sides? 3

5. Polygons: Rotational Symmetry
Conclusion for this
regular polygon.
RESTART
END SHOW
The order of rotational symmetry of a regular hexagon is 5. 5 1
This is equal to the number of sides of the hexagon. 4 2
Can we therefor say that the order of rotational symmetry of any regular polygon is equal to its number of sides? 3