1. **State the problem:** We are given a rectangle DEFG with center C at coordinates (8, 7) and point E at (20, 25). We need to find the coordinates of point G. 2. **Recall properties of rectangles and centers:** The center C of a rectangle is the midpoint of the diagonal connecting opposite corners. Here, C is the midpoint of diagonal EG. 3. **Use the midpoint formula:** If $C=(x_c,y_c)$ is the midpoint of points $E=(x_e,y_e)$ and $G=(x_g,y_g)$, then $$x_c=\frac{x_e+x_g}{2}, \quad y_c=\frac{y_e+y_g}{2}$$ 4. **Substitute known values:** $$8=\frac{20+x_g}{2}, \quad 7=\frac{25+y_g}{2}$$ 5. **Solve for $x_g$ and $y_g$:** Multiply both equations by 2: $$16=20+x_g, \quad 14=25+y_g$$ Subtract known values: $$x_g=16-20=-4, \quad y_g=14-25=-11$$ 6. **Conclusion:** The coordinates of point G are $(-4, -11)$. This uses the midpoint formula and the property that the center of a rectangle is the midpoint of its diagonals.