Problem: Sentence1: You really have to empathize.
Sentence2: You've really got to empathize with what they want.
Q: Does the term empathize mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Can you drive this four-wheel truck?
Sentence2: Drive the game.
Q: Does the term drive mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Follow the trail.
Sentence2: Follow a pattern.
Q: Does the term follow mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: The Democratic Party is an umbrella for many liberal groups.
Sentence2: Under the umbrella of capitalism.
Q: Does the term umbrella mean the same thing in both these sentences?

Answer:
the same meaning