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.

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

Draw the line of reflection. From a point on the shape, count how far it is vertically from the line of reflection. Count the same amount horizontally on the other side of the line and plot the point.