After a reflection in the line y=x, (-8,-3) is the image of point Q. What is the original location of point Q? _____
We draw the point (-8,-3) and the line y=x (in green). That line
goes 45° through the origin. It is called the IDENTITY line, because
its equation x=y says x and y are IDENTICAL.
If the green line y=x were a mirror, the reflection of the point
(-8,-3) would reflect like the dotted line shows:
That point is the INVERSE point (-3,-8). Notice that any time you
reflect a point into the line y=x, you get the point with the x and y
coordinates switched, called the INVERSE point. You should find that interesting!
Edwin