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Math Question

Rosalyn tried to define a rotation about point \( C \).
- For the center point \( C \), the image \( C^{\prime} \) is at the same point as \( C \).
- For a point \( P \) that is not at \( C \), a counterclockwise rotation of \( \theta \) about point \( C \) creates point \( P^{\prime} \), such that
- \( m \angle P C P^{\prime}=\theta \)
- Point \( C \) is the midpoint of \( P P^{\prime} \)
Which counterexample shows that Rosalyn's definition does not define a rotation?
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