Question

A point has the coordinates (m, 0) and m ≠ 0.

Which reflection of the point will produce an image located at (0, –m)?

a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x

Answer 1

Therefore the reflection of the point (m,0)and m≠0 will produce an image located at (0,-m) when reflection occurs across the line y=(-x).

Answer 2

a reflection of the point across the line y = –x

Explanation:

Let m = 5.

Graph (5, 0).

Then graph (0, -5).

Then draw the line y = -x.

You will see that the line y = -x is the axis of symmetry for the two points.

Answer:

a reflection of the point across the line y = –x