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.

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.

Phase transformations at interfaces in crystalline materials are of significant fundamental interest and practical importance due to their possible impact on the macroscopic mechanical, transport and ...