1. **State the problem:** We need to find the translation that maps Figure T onto Figure U. 2. **Identify coordinates:** - Figure T vertices: approximately $(3,4)$, $(3,8)$, $(6,7)$, $(6,3)$. - Figure U vertices: approximately $(7,-2)$, $(7,2)$, $(10,1)$, $(10,-3)$. 3. **Recall translation formula:** A translation moves every point by the same amount horizontally and vertically. If a point $(x,y)$ is translated by $a$ units horizontally and $b$ units vertically, the new point is $(x+a, y+b)$. 4. **Calculate horizontal translation $a$:** Take the first vertex of Figure T and U: $$a = 7 - 3 = 4$$ 5. **Calculate vertical translation $b$:** $$b = -2 - 4 = -6$$ 6. **Verify translation:** Check another vertex to confirm: - For $(3,8)$ in T, translated by $(4,-6)$ gives $(7,2)$ which matches U. 7. **Conclusion:** The translation that maps Figure T onto Figure U is 4 units right and 6 units down. **Final answer:** A translation 4 units and -6 units.