Mirrors reverse front and back. If you imagine your face painted on a surface, like a mask, then look at it from behind, that is essentially what the mirror is

Mirrors reverse front and back. If you imagine your face painted on a surface, like a mask, then look at it from behind, that is essentially what the mirror is doing. I think this is the best intuition, among other things it gives the right intuition for how circularly polarized waves reflect.