Transcript Polygons: Rotational Symmetry

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