Problem: Sentence1: It was a nice piece of work.
Sentence2: He needed a piece of granite.
Q: Does the term piece mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Even if it's not illegal, plagiarism is usually frowned upon.
Sentence2: Copy from one, it's plagiarism. Copy from two, it's research.
Q: Does the term plagiarism mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: When the finish is too thin it is difficult to apply evenly.
Sentence2: He applied a coat of a clear finish.
Q: Does the term finish mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Home is where the heart is.
Sentence2: There's no place like home.
Q: Does the term home mean the same thing in both these sentences?

Answer:
the same meaning