hamburger steak vs beef patty

hamburger steak and beef patty both are nouns.

Word	Noun	Adjective	Verb	Adverb
hamburger steak	Yes	No	No	No
beef patty	Yes	No	No	No

As nouns, hamburger steak and beef patty are synonyms defined as:

Other synonyms of hamburger steak include chop steak, chopped steak, chopsteak.

hamburger steak (noun)	beef patty (noun)
a patty of ground cooked beef	a patty of ground cooked beef