Geometry

Question Analysis:
This question connects congruence to geometric transformations, requiring understanding of rigid motions.

Key Concept Explanation:
Rigid motions (translation, rotation, reflection) preserve all lengths.
SSS congruence is maintained under any rigid motion.
Dilation changes size, so not a rigid motion.
Combination of rigid motions maintains congruence.

Step-by-Step Solution:
Identify properties of rigid motions.
Verify they preserve side lengths.
Eliminate dilation (non-rigid).
Confirm all rigid motions work.

Option Analysis:
A: Incomplete - other motions also preserve
B: Incomplete - missing translation
C: Incorrect - dilation alters size
D: Correct and complete

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