Reflection is termed a "1 to 1 correspondence" which is to say that reflected light is like an exact representation of what is before the reflector. We assign "handedness" as a convention and mostly because we have bilateral symmetry. Consider holding a starfish before the mirror or better yet a ball. There is no "handedness" to lend confusion to the issue. You see the placement of incidental features in their corresponding positions, point for point.

Here's another example. Find a rubber stamp with an image or writing depicted on it. It looks reversed to you. Ink it and now take it to the mirror. Slowly approach the mirror. The image "looks" correct in the mirror regardless of up or down orientation. As you press it on to the mirror every point of contact is correctly correspondent to the object, the stamp itself and as you pull it away, the inked print is also "looks" correct to your eyes. Now quick with the alcohol and clean it off before the wife sees it!

If you want to reduce the question to quanta, just think of the photons as little billiard balls bouncing back at you. I know they are really being absorbed and re-emitted in most cases but the idea is the same. The light from your body and clothing came from an original emitter at many different wave-lengths. Some are absorbed by you and your clothing and bodily features and that which could not be absorbed reflects off you in many directions. Those going in the direction of the mirror encounter a very high degree of reflectivity. That is, almost all the light bounces off without a change in energy levels (wave-length). Some of that reflcted light hits our pupils and the rest you know (or should know).

Yes OD! Check out Sam's Laser FAQ!