Understand congruence and similarity using physical models, transparencies, or geometry software.
G.8.1. Verify experimentally the properties of rotations, reflections, and translations:
G.8.1(a) Lines are taken to lines, and line segments to line segments of the same length.
G.8.1(b) Angles are taken to angles of the same measure.
G.8.1(c) Parallel lines are taken to parallel lines.
G.8.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.