Rotation is a transformation in which a figure is turned about a given point.
A rotation of an object around a point or an axis is a continuous transformation that does not change the distance of any of the points on the object from the point or the axis.
Set the origin as the center of rotation. When a point is rotated counterclockwise by angle , the resulting point can be calculated with the formula
In other words,
See also: Symmetry
Rotational symmetry occurs if an object can be rotated less than and be unchanged. The center of the rotation is called the point of symmetry.
Take for example some of the letters of the alphabet, which have rotational symmetry as they can be rotated and remain the same.
Consider a rotation about about point by clockwise. How many rotations will it take for to be rotated back to itself?
We have to rotate the point by to get it back. So the rotations required are = rotations.