Problem: Sentence1: For English, a compositor will ordinarily have two such cases, the upper case containing the capitals and the lower case containing the small letters.
Sentence2: That was not the case.
Q: Does the term case mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Wear one's hair in a certain way.
Sentence2: He always wears a smile.
Q: Does the term wear mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: We must strike the enemy's oil fields.
Sentence2: In the fifth inning, the Giants struck, sending three runners home to win the game 5 to 2.
Q: Does the term strike mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: To make like a deer caught in the headlights.
Sentence2: Make merry.
Q: Does the term make mean the same thing in both these sentences?

Answer:
the same meaning