Problem: Sentence1: Fix a race.
Sentence2: Let's fix the picture to the frame.
Q: Does the term fix mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: His horse won by a head.
Sentence2: He is two heads taller than his little sister.
Q: Does the term head mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: I went to a lot of trouble.
Sentence2: He won without any trouble.
Q: Does the term trouble mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Rise to a challenge.
Sentence2: The building rose before them.
Q: Does the term rise mean the same thing in both these sentences?

Answer:
different meanings