1. **State the problem:** Rotate the polygon with vertices A(0, -3), B(-6, 0), C(-7, -10), and D(-3, -9) by 270° clockwise around the origin. 2. **Formula for rotation:** Rotating a point $(x,y)$ by 270° clockwise is equivalent to rotating it 90° counterclockwise. The formula for 90° counterclockwise rotation is: $$ (x', y') = (-y, x) $$ 3. **Apply the formula to each vertex:** - For A(0, -3): $$ (x', y') = (-(-3), 0) = (3, 0) $$ - For B(-6, 0): $$ (x', y') = (-(0), -6) = (0, -6) $$ - For C(-7, -10): $$ (x', y') = (-(-10), -7) = (10, -7) $$ - For D(-3, -9): $$ (x', y') = (-(-9), -3) = (9, -3) $$ 4. **Final rotated coordinates:** - A' = (3, 0) - B' = (0, -6) - C' = (10, -7) - D' = (9, -3) The polygon after rotation 270° clockwise has vertices at these new points.