I have read that when you are in front of the mirror, the reason that it seems to reverse the horizontal or x-axis (left-right) view but not the vertical or y-axis view, is that the mirror actually reverses the z-axis front-back. The part nearest to the mirror reverses. Example, if you hold your right gloved hand in front of the mirror with the 5 fingers pointing to the mirror, the image that you see in front of the mirror is not similar to the left-hand glove, but it is the right glove turned inside-out. To test, wear a right latex glove, write something on it, then remove the glove, making the right glove inside out. If you can read what you had just wrote, it had reversed horizontally, but not vertically, assuming same frames of reference.