1. **State the problem:** Rotate the grey parallelogram with vertices at points $(0,1)$, $(2,3)$, $(3,2)$, and $(1,0)$ by 90° clockwise about the origin $(0,0)$. 2. **Formula for rotation:** To rotate a point $(x,y)$ 90° clockwise about the origin, use the transformation: $$ (x,y) \to (y, -x) $$ This means the new $x$ coordinate is the old $y$, and the new $y$ coordinate is the negative of the old $x$. 3. **Apply the rotation to each vertex:** - For $(0,1)$: new point is $(1, -0) = (1,0)$ - For $(2,3)$: new point is $(3, -2)$ - For $(3,2)$: new point is $(2, -3)$ - For $(1,0)$: new point is $(0, -1)$ 4. **Final rotated vertices:** The parallelogram after rotation has vertices at: $$ (1,0), (3,-2), (2,-3), (0,-1) $$ 5. **Explanation:** Each point was rotated by swapping coordinates and negating the original $x$ coordinate, which corresponds to a 90° clockwise rotation about the origin. This completes the rotation of the grey parallelogram 90° clockwise about $(0,0)$.