Question

A point has the coordinates (m, 0) and m = 0.Which reflection of the point will produce an image located at (0, -m)?ООООa reflection of the point across the x-axisa reflection of the point across the y-axisa reflection of the point across the line y = xa reflection of the point across the line y=-x

Answer 1

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

Step-by-step explanation

We have the cordinates of the point (m, 0) and m is not equal to zero.

Let us check each of the options:

=> a reflection of the point across the x axis causes the y cordinate to become its negative but the x cordinate remains the same.

So it would transform (m, 0) to (m, 0)

=> a reflection of the point across the y-axis causes the x cordinate to become its negative but the y cordinate remains the same.

So it would transform (m, 0) to (-m, 0)

=> a reflection of the point across the line y = x causes the x and y cordinates to change places.

So it would transform (m, 0) to (0, m).

=> a reflection of the point across the line y=-x causes the x and y cordinates to change places and be negated.

So it would transform (m, 0) to (0, -m)

So, option D is the answer.