1. **State the problem:** We need to find the coordinates of point $T'$, which is the image of point $T(-1, 2)$ after a 180° clockwise rotation around the origin. 2. **Formula for rotation:** A 180° clockwise rotation around the origin transforms any point $(x, y)$ to $(x', y')$ given by: $$x' = -x$$ $$y' = -y$$ This is because rotating 180° flips both coordinates to their negatives. 3. **Apply the formula:** For $T(-1, 2)$: $$x' = -(-1) = 1$$ $$y' = -(2) = -2$$ 4. **Result:** The coordinates of $T'$ after the rotation are $(1, -2)$. This means the point moves to the opposite quadrant diagonally across the origin.