shag rug vs carpet

shag rug and carpet both are nouns.

Word	Noun	Adjective	Verb	Adverb
shag rug	Yes	No	No	No
carpet	Yes	No	Yes	No

As nouns, carpet is a hypernym of shag rug; that is, carpet is a word with a broader meaning than shag rug:

shag rug: a rug with long pile
carpet: floor covering consisting of a piece of thick heavy fabric (usually with nap or pile)

Other hypernyms of shag rug include carpeting, rug.

shag rug (noun)	carpet (noun)
a rug with long pile	floor covering consisting of a piece of thick heavy fabric (usually with nap or pile)
	a natural object that resembles or suggests a carpet

shag rug (verb)	carpet (verb)
	cover with a carpet
	cover completely, as if with a carpet
	form a carpet-like cover (over)