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.

Shapes can be transformed in a number of ways. These include translation, rotation and reflection. Translation causes a shape to move. Rotation causes a shape to move. Reflection causes a shape to ...