1. **Problem:** Rotate the square centered at the origin with corners at (2, 2), (-2, 2), (-2, -2), and (2, -2) by 90 degrees clockwise around the origin. Find the new coordinates of the corner originally at (2, 2) and determine if the shape looks different. 2. **Formula and rule:** A rotation of 90 degrees clockwise about the origin transforms a point $(x,y)$ to $(y,-x)$. 3. **Apply the rotation:** For the point $(2,2)$, $$ (x,y) = (2,2) \rightarrow (y,-x) = (2,-2) $$ 4. **New coordinates:** The corner originally at $(2,2)$ moves to $(2,-2)$. 5. **Shape appearance:** Since all corners rotate similarly, the square remains congruent and looks the same, just rotated. **Final answer:** The new coordinate of the corner is $(2,-2)$ and the square looks unchanged after rotation.