Question

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

A. (–412, 1) and (–1, 412)
B. (2.5, –1) and (–212, 1)
C. (4.2, –1) and (2.4, –1)
D. (1, –2.25) and (–1, 214)
E. (–2, 213) and (2, 213)

Answer 1

E. (–2, 213) and (2, 213)

Explanation:

Reflection across the axes

Given a point (x,y), its reflection across the x-axis maps it to the point (x,-y). Its reflection across the y-axis maps it to the point (-x,y).

It's clear that any reflection only changes the sign of the coordinates, not the position or the value.

From the options presented the only one who changes only the sign of one or both coordinates is E because it maps the point (-2,213) to (2,213). It corresponds to a reflection across the y-axis.

The rest of the options change positions and/or values of the coordinates.

Answer: E. (–2, 213) and (2, 213)