concert dance vs choreography

concert dance and choreography both are nouns.

Word	Noun	Adjective	Verb	Adverb
concert dance	Yes	No	No	No
choreography	Yes	No	No	No

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

concert dance: a theatrical representation of a story that is performed to music by trained dancers
choreography: a show involving artistic dancing

Other hypernyms of concert dance include stage dancing.

concert dance (noun)	choreography (noun)
a theatrical representation of a story that is performed to music by trained dancers	a show involving artistic dancing
	the representation of dancing by symbols as music is represented by notes
	a notation used by choreographers