The transformation performed to map figure A onto figure A' is a reflection across the x-axis.

This is evident because figure A and A' are mirror images across the x-axis, where the positions of the points have been flipped vertically while maintaining their horizontal alignment.

Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. What is the rule for reflecting a point across the x-axis?
2. How does reflecting across the y-axis differ from reflecting across the x-axis?
3. What is the effect of translating a figure on a coordinate plane?
4. How do you determine if a transformation is a rotation, reflection, or translation?
5. Can a combination of transformations (like reflection and translation) be performed on a figure?

Tip: When reflecting a figure across the x-axis, the y-coordinate of each point changes its sign while the x-coordinate remains the same.