foxtrot vs ballroom dance

foxtrot and ballroom dance both are nouns.

Word	Noun	Adjective	Verb	Adverb
foxtrot	Yes	No	Yes	No
ballroom dance	Yes	No	No	No

As nouns, ballroom dance is a hypernym of foxtrot; that is, ballroom dance is a word with a broader meaning than foxtrot:

foxtrot: a ballroom dance in quadruple time; combines short and long and fast and slow steps fixed sequences
ballroom dance: any of a variety of social dances performed by couples in a ballroom

Other hypernyms of foxtrot include ballroom dancing.

foxtrot (noun)	ballroom dance (noun)
a ballroom dance in quadruple time; combines short and long and fast and slow steps fixed sequences	any of a variety of social dances performed by couples in a ballroom

foxtrot (verb)	ballroom dance (verb)
dance the foxtrot