• verify – by measuring and comparing lengths, angle measures, and parallelism of a figure and its image – that after a figure has been translated, reflected, or rotated, corresponding lines and line segments remain the same length, corresponding angles have the same measure, and corresponding parallel lines remain parallel. • describe and apply the properties of translations, rotations, and reflections on lines, line segments, angles, parallel lines and geometric figures.
• explain how transformations can be used to prove that two figures are congruent. • perform a series of transformations (reflections, rotations, and/or translations) to prove or disprove that two given figures are congruent. • describe a sequence of rigid motions to map one figure onto another.