Coordinate Rules for Reflections
In general, the following coordinate rules for reflections can easily be established:
Reflection in x-axis: (x, y) --> (x, –y)
Reflection in y-axis: (x, y) --> (–x, y)
Reflection in y = x: (x, y) --> (y, x)
Reflection in y = –x: (x, y) --> (–y, –x)