Question

How are the coordinates of a new point found if the point is reflected through the x-axis? How are the coordinates of a new point found if the point is reflected through the y-axis?

How are the coordinates of a new point found if the point is reflected through the line y = x? How are the coordinates of the new point found if the point is reflected through the origin?

Answer 1

Reflecting in the y axis changes the sign of the x coordinate and leaves y the same.
Reflecting in the x axis changes the sign on y and leaves x the same.

Answer 2

Reflecting in the line y = x swaps the coordinates
When points are reflected through the origin, the signs of both coordinates are changed

Answer 3

thanks guys