> When you look in a normal mirror, the image you see of yourself is in reverse. Funny thing: Mirrors don't reverse left and right. They reverse front and back. So this "non-reversing" mirror is actually mapping y to -y, x to -x (Where the mirror is in front of you in the z-direction. Curious. Edit: I believe tomerv below is correct: x is mapping to -x but y is kept the same.
Write something on a piece of paper. Hold the paper up to the mirror.
Now replace that with a transparent piece of plastic.