1. **Problem statement:** A square centered at the origin with corners at (2, 2), (-2, 2), (-2, -2), and (2, -2) is rotated 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 for rotation:** To rotate a point $(x,y)$ by 90 degrees clockwise about the origin, use the transformation: $$ (x', y') = (y, -x) $$ 3. **Apply the formula:** For the point $(2, 2)$: $$ x' = y = 2 $$ $$ y' = -x = -2 $$ 4. **New coordinates:** The point $(2, 2)$ moves to $(2, -2)$ after rotation. 5. **Shape appearance:** Rotating a square 90 degrees around its center does not change its shape or size, only the orientation. The square looks the same, just rotated. **Final answer:** The corner originally at $(2, 2)$ moves to $(2, -2)$, and the square looks the same after rotation.