1. The problem asks for the translation rule that maps quadrilateral DEFG to quadrilateral D'E'F'G'. 2. A translation moves every point of a shape by the same amount horizontally and vertically. 3. The given translation moves every point 8 units to the right and 7 units up. 4. The general translation rule is written as $(x, y) \to (x + a, y + b)$ where $a$ is the horizontal shift and $b$ is the vertical shift. 5. Substituting the given values, the translation rule is: $$ (x, y) \to (x + 8, y + 7) $$ This means every point $(x, y)$ of quadrilateral DEFG is moved to $(x + 8, y + 7)$ to get quadrilateral D'E'F'G'.