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Question
- which transformation(s) do not preserve congruence?
Step1: Recall congruence - preserving transformations
Rigid - motions (translations, rotations, and reflections) in geometry preserve congruence. Translations slide a figure, rotations turn a figure around a point, and reflections flip a figure over a line. These transformations do not change the size or shape of the figure, thus preserving congruence. Non - rigid transformations like dilations change the size of a figure and do not preserve congruence.
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Translations, rotations, and reflections preserve congruence.