Question

Choose all of the points that are reflections of each other across both axes.

A. (1.5, -2) and (-1.5, 2)
B. (4.5, -2) and (5.4, -2)
C. (-15, 3) and (3, -15)
D. (1.75, -4) and (4, -1.75)

Answer 1

Option A (1.5, -2) and (-1.5, 2) represents points that are reflections of each other across both axes.

Step-by-step explanation:

Reflections across both axes occur when the x and y-coordinates of two points are switched and negated. Let's check which pairs of points satisfy this condition.

1. A. (1.5, -2) and (-1.5, 2): The x-coordinates are switched and negated, and the same applies to the y-coordinates. This pair represents reflections across both axes.
2. B. (4.5, -2) and (5.4, -2): The y-coordinates remain the same, so it does not represent a reflection across the y-axis.
3. C. (-15, 3) and (3, -15): The x-coordinates are switched and negated, but the same does not apply to the y-coordinates. This pair does not represent a reflection across the y-axis.
4. D. (1.75, -4) and (4, -1.75): The x-coordinates are switched and negated, but the same does not apply to the y-coordinates. This pair does not represent a reflection across the y-axis.

Therefore, only Option A represents points that are reflections of each other across both axes.