rug vs floor covering

rug and floor covering both are nouns.

Word	Noun	Adjective	Verb	Adverb
rug	Yes	No	No	No
floor covering	Yes	No	No	No

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

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

Other hypernyms of rug include floor cover, furnishing.

rug (noun)	floor covering (noun)
floor covering consisting of a piece of thick heavy fabric (usually with nap or pile)	a covering for a floor