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

Answer:

a reflection of the line segment across the x-axis

Answer 2

Answer:

Step-by-step explanation:

A reflection of the line segment across the y-axis will produce an image whose endpoints are at (4, -6) and (6, 4) respectively.

Although I am unable to draw the lines and create two line segments, the image attached below shall provide the reason as to why the line segment should be reflected across the y-axis.