1. **Problem Statement:** Find the coordinates of points H and G, the midpoint of segment MQ, and the distance between points A and B or the area of rectangle RQFG based on the given coordinate grid. 2. **Coordinates of Points H and G:** - Identify the exact positions of points H and G on the grid. - Suppose H is at $(x_H, y_H)$ and G is at $(x_G, y_G)$. 3. **Midpoint of Line Segment MQ:** - Use the midpoint formula: $$\text{Midpoint} = \left(\frac{x_M + x_Q}{2}, \frac{y_M + y_Q}{2}\right)$$ - Find coordinates of M and Q, then calculate the midpoint. 4. **Distance Between Points A and B:** - Use the distance formula: $$d = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}$$ - Substitute coordinates of A and B and simplify. 5. **Area of Rectangle RQFG:** - Calculate length and width using distance formula between appropriate points. - Area = length × width. Since the exact coordinates are not provided in the problem statement, please refer to the graph to extract the coordinates of points H, G, M, Q, A, B, R, Q, F, and G to perform these calculations. **Final answers depend on the coordinates from the graph.**