1. **Problem statement:** Rotate quadrilateral SORT with vertices S(6,-6), O(-2,-2), R(-2,3), T(5,2) by 270° about the origin. 2. **Formula for rotation:** A rotation of 270° counterclockwise about the origin transforms a point $(x,y)$ to $(y,-x)$. 3. **Apply the rotation to each vertex:** - For S(6,-6): new coordinates are $(y,-x) = (-6,-6)$ - For O(-2,-2): new coordinates are $(-2,2)$ - For R(-2,3): new coordinates are $(3,2)$ - For T(5,2): new coordinates are $(2,-5)$ 4. **Result:** The rotated quadrilateral SORT has vertices: - S'(-6,-6) - O'(-2,2) - R'(3,2) - T'(2,-5) This completes the 270° rotation about the origin.