In lang=en terms the difference between mug and rug
is that
mug is the face, often used deprecatingly while
rug is a wig; a hairpiece.
As nouns the difference between mug and rug
is that
mug is a large cup for hot liquids, usually having a handle and used without a saucer while
rug is a partial covering for a floor.
As verbs the difference between mug and rug
is that
mug is to strike in the face while
rug is to pull roughly or hastily; to plunder; to spoil; to tear.
As an adjective mug
is easily fooled, gullible.