1. The problem is to find the rule for reflecting the point $(3,13)$ to $(-3,-13)$. 2. Reflection rules depend on the axis or line of reflection. Common reflections include: - Reflection about the y-axis: $(x,y) \to (-x,y)$ - Reflection about the x-axis: $(x,y) \to (x,-y)$ - Reflection about the origin: $(x,y) \to (-x,-y)$ 3. Check which rule applies to the given points: - Original point: $(3,13)$ - Reflected point: $(-3,-13)$ 4. Notice that both the $x$ and $y$ coordinates change sign, so the reflection is about the origin. 5. Therefore, the reflection rule is: $$ (x,y) \to (-x,-y) $$ 6. Applying this to $(3,13)$: $$ (3,13) \to (-3,-13) $$ 7. This matches the given reflected point, confirming the rule. Final answer: The reflection rule is $ (x,y) \to (-x,-y) $ which is reflection about the origin.