Problem: Sentence1: I have some free time tonight so I think I'll catch a movie.
Sentence2: Catch a show on Broadway.
Q: Does the term catch mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Play cards.
Sentence2: Gielgud played Hamlet.
Q: Does the term play mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Book fair.
Sentence2: World fair.
Q: Does the term fair mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Does she pay you for the work you are doing?
Sentence2: He paid off the loan three months early.
Q: Does the term pay mean the same thing in both these sentences?

Answer:
the same meaning