Polygons:.

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Presentation transcript:

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.

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

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

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