Final answer:
The correct rule for an image being reflected off the x-axis is that the x-coordinates stay the same while the y-coordinates change signs. This transformation results in a vertical mirror image across the x-axis, flipping points above the axis to below it and vice versa.
Step-by-step explanation:
When an image is Reflected off of the x-axis, the rule that applies is A) The x-coordinates remain the same, and the y-coordinates change signs.
This means that for any point on the original figure, let's call it (x, y), after reflection over the x-axis, the coordinates of the corresponding point on the reflected image would be (x, -y). It is important to note that the x-values do not change because the reflection is vertical; only the y-values change because the image is inverted vertically over the x-axis.
An easy way to remember this is that reflecting over the x-axis essentially 'flips' the figure over that axis, mirroring it vertically. So, if the original point was above the x-axis (positive y-value), it will be below after reflection (negative y-value), and vice versa.