Problem: Sentence1: They proposed a new direction for the firm.
Sentence2: He checked the direction and velocity of the wind.
Q: Does the term direction mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: To advance one's interests.
Sentence2: We are advancing technology every day.
Q: Does the term advance mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: He was pleased by the audience's reaction to his performance.
Sentence2: John feared his mother's reaction when she saw the broken lamp.
Q: Does the term reaction mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: The rookie made a brief appearance in the first period.
Sentence2: It was Bernhardt's last appearance in America.
Q: Does the term appearance mean the same thing in both these sentences?

Answer:
the same meaning