movie theater vs movie theatre

movie theater and movie theatre both are nouns.

Word	Noun	Adjective	Verb	Adverb
movie theater	Yes	No	No	No
movie theatre	Yes	No	No	No

As nouns, movie theater and movie theatre are synonyms defined as:

Other synonyms of movie theater include cinema, movie house, picture palace.

movie theater (noun)	movie theatre (noun)
a theater where films are shown	a theater where films are shown