Rotate the rectangle ABCD 90° clockwise about the point (0,-1). Each corner of the image A'B'C'D' is the same distance from the centre of rotation as the original shape.

Sometimes a shape is transformed using more than one step, for example a reflection followed by a rotation. The combination of transformations can usually be described as a single transformation.

Materials were written for an entire year's course in geometry in which transformations were used to develop the concepts of congruence, similarity, and symmetry, as well as being a vehicle for proof.