1. The problem asks to find the image of triangle UVW after reflecting it over the x-axis. 2. Reflection over the x-axis changes the y-coordinate of each point to its opposite, while the x-coordinate remains the same. The formula for reflection over the x-axis is: $$ (x, y) \to (x, -y) $$ 3. Given points: - W = (-5, 2) - U = (-5, -10) - V = (7, -10) 4. Apply the reflection formula to each point: - W' = (-5, -2) - U' = (-5, 10) - V' = (7, 10) 5. The reflected triangle U'V'W' has vertices at (-5, 10), (7, 10), and (-5, -2). 6. This reflection flips the triangle over the x-axis, changing the vertical positions but keeping the horizontal positions the same.