Question

choose the appropriate axis for which the following coordinates are reflections of each other. answer choices have been categorized. x - axis (5,0)and(-5,0) y - axis (2,5)and(2,-5) (-2,0)and(2,0)

Explanation:

Step1: Recall reflection rules

Reflection over x - axis changes sign of y - coordinate. Reflection over y - axis changes sign of x - coordinate.

Step2: Analyze points (5,0) and (-5,0)

The y - coordinates are the same (0), and the x - coordinates have opposite signs. So, they are reflections over the y - axis.

Step3: Analyze points (2,5) and (2, - 5)

The x - coordinates are the same (2), and the y - coordinates have opposite signs. So, they are reflections over the x - axis.

Step4: Analyze points (-2,0) and (2,0)

The y - coordinates are the same (0), and the x - coordinates have opposite signs. So, they are reflections over the y - axis.

Answer:

(5,0) and (-5,0) are reflections over the y - axis.
(2,5) and (2, - 5) are reflections over the x - axis.
(-2,0) and (2,0) are reflections over the y - axis.