1. **State the problem:** We need to rotate the shape with vertices A(1,3), B(8,0), C(9,8), and D(2,7) by 90° clockwise around the origin on the coordinate plane. 2. **Formula for 90° clockwise rotation:** For any point $(x,y)$, the coordinates after a 90° clockwise rotation become: $$ (x', y') = (y, -x) $$ This means the new x-coordinate is the original y, and the new y-coordinate is the negative of the original x. 3. **Apply the rotation to each point:** - For A(1,3): $$ (x', y') = (3, -1) $$ - For B(8,0): $$ (x', y') = (0, -8) $$ - For C(9,8): $$ (x', y') = (8, -9) $$ - For D(2,7): $$ (x', y') = (7, -2) $$ 4. **Final rotated coordinates:** - A' = (3, -1) - B' = (0, -8) - C' = (8, -9) - D' = (7, -2) These are the new vertices of the shape after a 90° clockwise rotation.