1. **State the problem:** We have a rectangle DEFG with points E(3, 2) and G(-1, -5) given. The sides of the rectangle are parallel to the axes, and we need to find the coordinates of points D and F. 2. **Recall properties of rectangles with sides parallel to axes:** - Opposite sides are parallel and equal in length. - Since sides are parallel to axes, horizontal sides have the same y-coordinate, and vertical sides have the same x-coordinate. 3. **Analyze given points:** - E is at (3, 2) - G is at (-1, -5) 4. **Find coordinates of D:** - D is vertically above G, so it shares the same x-coordinate as G. - Since D and E are on the same horizontal line (top side), D shares the y-coordinate of E. - Therefore, $D = (-1, 2)$. 5. **Find coordinates of F:** - F is vertically below E, so it shares the same x-coordinate as E. - Since F and G are on the same horizontal line (bottom side), F shares the y-coordinate of G. - Therefore, $F = (3, -5)$. **Final answer:** $$D = (-1, 2), \quad F = (3, -5)$$