1. **Problem Statement:** Rotate the triangle with vertices at $A(2,2)$, $B(4,2)$, and $C(4,4)$ by 90° clockwise about the origin. 2. **Formula for 90° Clockwise Rotation:** For any point $(x,y)$, the coordinates after a 90° clockwise rotation about the origin are given by: $$ (x,y) \to (y, -x) $$ 3. **Apply the rotation to each vertex:** - For $A(2,2)$: $$ (2,2) \to (2, -2) $$ - For $B(4,2)$: $$ (4,2) \to (2, -4) $$ - For $C(4,4)$: $$ (4,4) \to (4, -4) $$ 4. **Result:** The new vertices of the rotated triangle are: $$ A'(2,-2), B'(2,-4), C'(4,-4) $$ This completes the 90° clockwise rotation about the origin.