stage dancing vs choreography

stage dancing and choreography both are nouns.

Word	Noun	Adjective	Verb	Adverb
stage dancing	Yes	No	No	No
choreography	Yes	No	No	No

As nouns, stage dancing and choreography are synonyms defined as:

stage dancing (noun)	choreography (noun)
a show involving artistic dancing	a show involving artistic dancing
	the representation of dancing by symbols as music is represented by notes
	a notation used by choreographers