Question

line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

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

A reflection across the x-axis.

Reason: reflecting across the x-axis sends (x,y) → (x, −y). So (3,2) → (3,−2) and (2,−3) → (2,3), which matches the given image.