When a figure is reflected across the x-axis, the y-coordinates of its points are inverted (change signs), while the x-coordinates remain unchanged. This results in the transformation rule:

(x, y) → (x, −y)

Correct Answer:

B. (x, y) → (x, −y)

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Would you like a detailed explanation or examples to illustrate this?

Here are 5 related questions to explore:

1. What transformation occurs when a figure is reflected across the y-axis?
2. How does the transformation rule change when reflecting across the line $y = x$?
3. What happens to the coordinates if a figure undergoes a 180° rotation about the origin?
4. Can you derive the rule for a reflection across the line $y = -x$?
5. What is the result of reflecting a point twice, first across the x-axis and then across the y-axis?

Tip: Always consider the axis or line of reflection to determine which coordinates are affected (x or y).