Which reflection rule, if any, can be used to prove that rectangle A(-8, -3), B(-2, -3), C(-2, -6), D(-8, -6) and rectangle A'(8, -3), B'(2, -3), C'(2, -6), D'(8, -6) are congruent?

The correct reflection rule to prove that rectangles A(-8, -3), B(-2, -3), C(-2, -6), D(-8, -6) and A'(8, -3), B'(2, -3), C'(2, -6), D'(8, -6) are congruent is:

A (x, y) → (-x, y)

### Explanation:

The given rectangles are mirror images of each other across the y-axis. The coordinates of rectangle A can be transformed by reflecting across the y-axis, which changes the sign of the x-coordinates while keeping the y-coordinates the same. For example:

– A(-8, -3) reflected becomes A'(8, -3)

– B(-2, -3) reflected becomes B'(2, -3)

– C(-2, -6) reflected becomes C'(2, -6)

– D(-8, -6) reflected becomes D'(8, -6)

Thus, the reflection rule A proves that the rectangles are congruent. Keep exploring your geometry concepts, and if you have more questions, feel free to ask!