Question

A line segment has endpoints at 3,2 and 2,-3 which reflection will produce and image with endpoints at 3,-2 and 2,3

Answer 1

A reflection across the x-axis.

Explanation:

A reflection across the x-axis changes the signs of the y-coordinates like it does in the problem. (3, 2) becomes (3, -2) and (2, -3) becomes (2, 3).

I hope this helps!

Answer 2

Reflection in the x-axis

EXPLANATION

The given line segment has endpoints at (3,2) and (2,-3).

After this point are reflected the image points are:

(3,-2) and (2,3)

We can observe that the y-coordinates were negated to obtain the image points hence the mapping for the reflection is;

`(x,y)\to(x,-y)`

This is a reflection in the x-axis.