Geometry

Question Analysis:
This question tests the fundamental definition of congruent triangles and their properties.
The key is to identify which statement correctly reflects the implications of congruency.

Key Concept Explanation:
Congruent Triangles: Identical in both shape and size (all corresponding sides and angles are equal).
Rigid Transformations: Translations, rotations, and reflections (which preserve size and shape).
Non-Rigid Transformations: Dilations (which change size, producing similar but not congruent figures).

Step-by-Step Solution:
Evaluate Option A:
"Same shape but different sizes" describes similar triangles, not congruent ones.
Conclusion: False.

Evaluate Option B:
An "enlargement" implies a size change, which would make the triangles similar but not congruent.
Conclusion: False.

Evaluate Option C:
Congruent triangles can be mapped onto each other using rigid transformations (translations, rotations, reflections), which preserve size and shape.
Conclusion: True.

Evaluate Option D:
Congruent triangles have identical correspo...