Question

A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)?

a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x

Answer 1

Reflection across the y-axis.

Reason: reflecting (x,y) across the y-axis gives (-x,y). Applying it:
(-4, -6) → (4, -6) and (-6, 4) → (6, 4), as required.