1. **State the problem:** We need to find the translation that maps Figure Q onto Figure R. 2. **Identify coordinates:** Approximate coordinates of Figure Q vertices are (6,6), (8,6), (7,4.5), and (5,4.5). 3. Approximate coordinates of Figure R vertices are (-3,0), (-4,-1), (-3,-2), and (-2,-1). 4. **Translation formula:** A translation moves every point by the same amount horizontally and vertically. 5. To find the translation vector $(h,k)$, calculate the difference between corresponding points: $$h = x_{R} - x_{Q}, \quad k = y_{R} - y_{Q}$$ 6. Using the first vertex: from $(6,6)$ to $(-3,0)$: $$h = -3 - 6 = -9$$ $$k = 0 - 6 = -6$$ 7. Check with another vertex to confirm: From $(8,6)$ to $(-4,-1)$: $$h = -4 - 8 = -12$$ $$k = -1 - 6 = -7$$ This does not match the first translation, so check another pair. 8. Using $(7,4.5)$ to $(-3,-2)$: $$h = -3 - 7 = -10$$ $$k = -2 - 4.5 = -6.5$$ 9. Using $(5,4.5)$ to $(-2,-1)$: $$h = -2 - 5 = -7$$ $$k = -1 - 4.5 = -5.5$$ 10. The differences are inconsistent, so a single translation does not map Figure Q onto Figure R exactly. **Final answer:** No single translation (constant horizontal and vertical shifts) maps Figure Q onto Figure R exactly because the required shifts differ for each vertex.