1. **State the problem:** We need to find the coordinates of the image R''S''T''U'' after reflecting the figure RSTU across the x-axis. 2. **Recall the reflection rule across the x-axis:** When a point $(x,y)$ is reflected across the x-axis, its image is $(x,-y)$. 3. **Apply the reflection to each vertex:** - If $R = (x_R, y_R)$, then $R'' = (x_R, -y_R)$ - If $S = (x_S, y_S)$, then $S'' = (x_S, -y_S)$ - If $T = (x_T, y_T)$, then $T'' = (x_T, -y_T)$ - If $U = (x_U, y_U)$, then $U'' = (x_U, -y_U)$ 4. **Explain:** This means the x-coordinates stay the same, but the y-coordinates change sign, flipping the figure over the x-axis. 5. **Final answer:** The coordinates of $R''S''T''U''$ are the same as $R S T U$ but with the y-values negated. Since the original coordinates are not given explicitly, the answer is expressed in terms of the original points.