A rotation is a type of transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation. In this sub-topic, we will discuss about problems involving rotation.

An angle of rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle.

Usually, clockwise rotation is referred as negative rotation. For example, counterclockwise rotation of 330° can also be called as -30° rotation because 330° + 30° =360°, which makes a complete rotation. Angle of rotation is also referred as “order of symmetry”.

Represents a pentagon rotating about a point C in the clockwise direction where the angle made by the consecutive position is 45° of the previous position, where point C is the center of rotation and we can say that angle of rotation is 45°.

Represents a triangle rotating about point A in the anti-clockwise direction, where the angle made by the consecutive position is 60°, where point A is the center of rotation and we can say that the angle of rotation is 60°.