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
c or d

Answer 1

Reflection across the y-axis.

Reason: Reflecting (x,y) across the y-axis gives (−x,y).
(−4,−6) → (4,−6) and (−6,4) → (6,4), which matches the image points.