Problem 76 of 7
Describe all transformations that carry a square onto itself.
Hints
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list identity, rotations, and reflections.
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Figure must have a standard finite symmetry group.
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Solution
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1. Identify rotational symmetries first.
2. Identify reflection symmetry lines.
3. List identity plus all nontrivial symmetries.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Omitting identity when asked for all transformations.