1. **State the problem:** We have a quadrilateral CAPT with point T at coordinates $T(4,4)$. We need to find the coordinates of $T'$ after reflecting the figure over the x-axis. 2. **Reflection over the x-axis rule:** When a point $(x,y)$ is reflected over the x-axis, its x-coordinate remains the same, but the y-coordinate changes sign. The formula is: $$T'(x, y) = (x, -y)$$ 3. **Apply the formula:** For $T(4,4)$, $$T' = (4, -4)$$ 4. **Interpretation:** The reflected point $T'$ is located at $(4,-4)$, which is the mirror image of $T$ across the x-axis. **Final answer:** $T' = (4, -4)$