1. **Problem:** Find the coordinates of $S'$ when Figure STUV is rotated 180° about the origin. 2. **Formula for 180° rotation:** Rotating a point $(x,y)$ by 180° about the origin results in $(-x,-y)$. 3. **Coordinates of $S$:** $(-4,3)$. 4. **Apply formula:** $$S' = (-(-4), -(3)) = (4, -3)$$ --- 5. **Problem:** Find the coordinates of $U'$ when Figure STUV is rotated 180° about the origin. 6. **Coordinates of $U$:** $(-1,-1)$. 7. **Apply formula:** $$U' = (-(-1), -(-1)) = (1, 1)$$ --- 8. **Problem:** Find the coordinates of $T'$ when Figure STUV is rotated 90° counterclockwise about the origin. 9. **Formula for 90° CCW rotation:** Rotating $(x,y)$ 90° counterclockwise gives $(-y, x)$. 10. **Coordinates of $T$:** $(-1,3)$. 11. **Apply formula:** $$T' = (-3, -1)$$ --- 12. **Summary of answers:** - $S' = (4, -3)$ - $U' = (1, 1)$ - $T' = (-3, -1)$