1. **State the problem:** We need to find the image of rhombus BCDE after a 90° anticlockwise rotation around the origin. 2. **Recall the rotation formula:** For a point $(x,y)$, a 90° anticlockwise rotation about the origin transforms it to $(-y, x)$. 3. **Apply the rotation to each vertex:** - For $B(-8,4)$: rotated to $B'(-4,-8)$ - For $C(-4,4)$: rotated to $C'(-4,-4)$ - For $D(0,6)$: rotated to $D'(-6,0)$ - For $E(-6,6)$: rotated to $E'(-6,-6)$ 4. **Connect the rotated points in the same order:** $B'$, $C'$, $D'$, $E'$ to form the rotated rhombus. 5. **Summary:** The rotated rhombus has vertices at $B'(-4,-8)$, $C'(-4,-4)$, $D'(-6,0)$, and $E'(-6,-6)$. This completes the rotation of rhombus BCDE by 90° anticlockwise about the origin.