1. The problem states that quadrilateral D'E'F'G' is a translation of quadrilateral DEFG. 2. Translation means moving every point of a figure the same distance in the same direction. 3. The original points are D(-9, -5), E(-4, -9), F(-4, -5), G(-6, -4). 4. The translated points are D'(6, 3), E'(11, -1), F'(11, 3), G'(9, 4). 5. To find the translation rule, calculate the horizontal and vertical shifts: Horizontal shift = $6 - (-9) = 6 + 9 = 15$ Vertical shift = $3 - (-5) = 3 + 5 = 8$ 6. The translation rule moves every point $(x, y)$ to $(x + 15, y + 8)$. 7. Therefore, the translation rule is: $$(x, y) \mapsto (x + 15, y + 8)$$