It can be observed that if the angle of rotation of a figure is a factor of \(360\)\(º\), then it will have a rotational symmetry of order more than \(1\).
It can be checked that \(45º\) is a factor of \(360º\) but \(17º\) is not.
Therefore, the figure having its angle of rotation as \(45º\) will have its rotational symmetry of order more than \(1\).
However, the figure having its angle of rotation as \(17º\) will not be having its rotational symmetry of order more than \(1\).
Shape | Centre of Rotation | Order of Rotation | Angle of Rotation |
---|---|---|---|
Square | |||
Rectangle | |||
Rhombus | |||
Equilateral Triangle | |||
Regular Hexagon | |||
Circle | |||
Semi-circle |