1. **Problem:** Rotate a 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 rules:** - A 90-degree clockwise rotation about the origin transforms a point $(x,y)$ to $(y,-x)$. - The shape's size and form do not change under rotation, only position and orientation. 3. **Apply the rotation to the point (2, 2):** $$ (x,y) = (2,2) \to (y,-x) = (2,-2) $$ 4. **Check the new coordinates:** The corner at (2, 2) moves to (2, -2). 5. **Determine if the shape looks different:** Since all corners rotate similarly, the square remains congruent and looks the same, just rotated. The overall shape does not change. **Final answer:** The corner originally at (2, 2) moves to (2, -2). The square looks the same after rotation.