1. **State the problem:** We have a polygon with vertices at points A(-3, 5), B(-7, 2), C(-8, 8), and D(-4, 10). We need to rotate this shape 90° clockwise around the origin. 2. **Formula for 90° clockwise rotation:** When rotating a point $(x, y)$ 90° clockwise about the origin, the new coordinates $(x', y')$ are given by: $$ (x', y') = (y, -x) $$ This means the x-coordinate becomes the original y, and the y-coordinate becomes the negative of the original x. 3. **Apply the formula to each point:** - For A(-3, 5): $$ (x', y') = (5, -(-3)) = (5, 3) $$ - For B(-7, 2): $$ (x', y') = (2, -(-7)) = (2, 7) $$ - For C(-8, 8): $$ (x', y') = (8, -(-8)) = (8, 8) $$ - For D(-4, 10): $$ (x', y') = (10, -(-4)) = (10, 4) $$ 4. **Final rotated coordinates:** - A' = (5, 3) - B' = (2, 7) - C' = (8, 8) - D' = (10, 4) These are the new points after rotating the shape 90° clockwise around the origin.