Question: Here is one sentence: Pay an obligation.
Here is another sentence: He was allowed to go as soon as he paid.
Does the pay mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: Would you like some tea?
Here is another sentence: Would you be a dear and get me a cup of tea, please?
Does the tea mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: They are up to date.
Here is another sentence: We haven't heard from them to date.
Does the date mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: In your behalf.
Here is another sentence: Campaigning in his own behalf.
Does the behalf mean the same thing in the two sentences?

Answer:
the same meaning