Question

A 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

Reflection across the x-axis.

Under that reflection (x, y) → (x, −y), (3, 2) → (3, −2) and (2, −3) → (2, 3), which matches the given image.