1. The problem asks for the translation rule that maps triangle \(\triangle CDE\) to \(\triangle C'D'E'\).\n\n2. A translation moves every point of a figure the same distance in the same direction.\n\n3. The given information states that the triangle is shifted 9 units to the right and 9 units up.\n\n4. The general translation rule is \((x, y) \to (x + a, y + b)\), where \(a\) is the horizontal shift and \(b\) is the vertical shift.\n\n5. Substituting the given values, the translation rule is \((x, y) \to (x + 9, y + 9)\).\n\n6. This means every point \((x, y)\) of \(\triangle CDE\) moves to \((x + 9, y + 9)\) to form \(\triangle C'D'E'\).