Geometry

Question Analysis:
This question assesses understanding of rigid motions and their role in congruence.
The main focus is on how congruent figures relate through transformations.

Key Concept Explanation:
Congruent figures are identical in size and shape, meaning they have the same side lengths and angles.
Rigid motions do not alter the size or shape of a figure, so they can always be used to map one congruent figure onto another.

Step-by-Step Solution:
If two figures are congruent, they have identical side lengths and angles.
Since rigid motions do not change size or shape, one figure can always be moved, rotated, or reflected to align with the other.
Therefore, all congruent figures can be mapped onto each other using only rigid motions.

Common Mistakes:
Confusing rigid motions (which preserve congruency) with ...