Problem: Sentence1: Offer prayers to the gods.
Sentence2: He offered his opinion.
Q: Does the term offer mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: If the new teacher won't break, we'll add some stress.
Sentence2: The clouds broke after the heavy downpour.
Q: Does the term break mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Tease wool.
Sentence2: The children teased the new teacher.
Q: Does the term tease mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: To arouse anger.
Sentence2: Arouse pity.
Q: Does the term arouse mean the same thing in both these sentences?

Answer:
the same meaning