1. **State the problem:** We have a shape with points A(-4,0), B(-7,-2), and C(-9,-9). We need to rotate this shape 180° counterclockwise about the origin. 2. **Formula for rotation 180° counterclockwise:** Rotating a point $(x,y)$ by 180° counterclockwise about the origin results in the point $(-x,-y)$. 3. **Apply the rotation to each point:** - For A(-4,0): $$A' = (-(-4), -(0)) = (4, 0)$$ - For B(-7,-2): $$B' = (-(-7), -(-2)) = (7, 2)$$ - For C(-9,-9): $$C' = (-(-9), -(-9)) = (9, 9)$$ 4. **Final rotated coordinates:** - $A' = (4, 0)$ - $B' = (7, 2)$ - $C' = (9, 9)$ This completes the 180° counterclockwise rotation of the shape about the origin.