1. **State the problem:** We need to find the image of triangle \(\Delta TUV\) after reflecting it over the y-axis. 2. **Recall the reflection rule:** Reflecting a point \((x, y)\) over the y-axis maps it to \((-x, y)\). 3. **Identify original points:** - \(V = (-9, 1)\) - \(U = (-5, 7)\) - \(T = (-5, 3)\) 4. **Apply reflection to each point:** - \(V' = (-(-9), 1) = (9, 1)\) - \(U' = (-(-5), 7) = (5, 7)\) - \(T' = (-(-5), 3) = (5, 3)\) 5. **Result:** The reflected triangle \(\Delta T'U'V'\) has vertices at \((9,1)\), \((5,7)\), and \((5,3)\). This completes the reflection over the y-axis.