1. The problem asks to reflect the shape ABCD across the x-axis and write the transformation rule. 2. Reflection across the x-axis changes the y-coordinate to its opposite while keeping the x-coordinate the same. 3. The transformation rule is: $$(x,y) \to (x,-y)$$ 4. Apply this to each point: - $A(-4,6) \to A'(-4,-6)$ - $B(-6,2) \to B'(-6,-2)$ - $C(-2,2) \to C'(-2,-2)$ - $D(-2,6) \to D'(-2,-6)$ 5. The new coordinates after reflection are: - $A'(-4,-6)$ - $B'(-6,-2)$ - $C'(-2,-2)$ - $D'(-2,-6)$ 6. This completes the reflection and labeling of new points. Transformation Rule: $$(x,y) \to (x,-y)$$