In conclusion, your students' understanding of rigid motions will be developed and deepened by seeing that:

• Rigid motions preserve distance and angle measure.
• Applying a rigid motion or series of rigid motions to a figure results in a transformed image that is congruent to the original.
• If two figures can be transposed via a series of rigid motions, then they are congruent.
• Sometimes there is more than one transformation or series of transformations that can result in a transformed image.
• Not all transformations are rigid motions.