Final answer:
Rigid motions preserve object size and shape, linking them to congruence.
Explanation:
Rigid motions involve movements that preserve the size and shape of an object, such as translations and rotations. Congruence refers to the state where two objects have the same size and shape. The relationship between rigid motions and congruence lies in the fact that applying a rigid motion to an object does not change its size or shape, thus maintaining congruence.
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