1. The problem asks for the translation rule that maps segment BC to B'C'. 2. Given points: - C(-7, -9) maps to C'(1, 2) - B(-2, -2) maps to B'(6, 8) 3. Translation rule moves every point by adding the same values to $x$ and $y$ coordinates. 4. Calculate horizontal shift: $1 - (-7) = 8$ 5. Calculate vertical shift: $2 - (-9) = 11$ 6. Therefore, the translation rule is: $$(x, y) \mapsto (x + 8, y + 11)$$ This means every point $(x, y)$ moves 8 units right and 11 units up to get $(x+8, y+11)$. Final answer: $$(x, y) \mapsto (x + 8, y + 11)$$