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

A reflection of the line segment across the x-axis.

Answer 2

Option A - a reflection of the line segment across the x-axis

Explanation:

Given : A line segment has endpoints at (3, 2) and (2, –3).

To find : Which reflection will produce an image with endpoints at (3, –2) and (2, 3)

Solution : To determine the reflection we can see in the graph attached that the reflection is towards the x-axis

Therefore, A reflection of line segment with endpoints at (3, 2) and (2, –3) have a reflection of the line segment across the x-axis with end points (3, –2) and (2, 3)