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Answer:
(a) R(-9, 4) ⇒ R'(9, -4)
Explanation:
Reflection over the x-axis changes the sign of the y-coordinate only:
(x, y) ⇒ (x, -y) . . . . . . . reflection over the x-axis
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When both signs are changed, the reflection is over the origin:
(x, y) ⇒ (-x, -y) . . . . . . reflection over the origin (or rotation 180°, or reflection over both axes)
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All of the answer choices show one of these reflections. The first choice shows reflection over the origin, so the x-axis is not the line of reflection for ...
R(-9, 4) ⇒ R'(9, -4) . . . . . . origin is the point of reflection