square dance vs contra danse

square dance and contra danse both are nouns.

Word	Noun	Adjective	Verb	Adverb
square dance	Yes	No	Yes	No
contra danse	Yes	No	Yes	No

As nouns, contra danse is a hypernym of square dance; that is, contra danse is a word with a broader meaning than square dance:

square dance: American country dancing in which couples form squares
contra danse: a type of folk dance in which couples are arranged in sets or face one another in a line

Other hypernyms of square dance include contradance, contredanse, country-dance, country dancing.

square dance (noun)	contra danse (noun)
American country dancing in which couples form squares	a type of folk dance in which couples are arranged in sets or face one another in a line

square dance (verb)	contra danse (verb)
dance in formation	perform a contradance