Question: "live" used in the same way in the following two sentences?

He's not expected to live for more than a few months.

My grandfather lived until the end of war.
Answer: the same meaning
Question: "point" used in the same way in the following two sentences?

He missed the point of the joke.

The cannibal's teeth were filed to sharp points.
Answer: different meanings
Question: "dish" used in the same way in the following two sentences?

Marriage was scarcely his dish.

She prepared a special dish for dinner.
Answer: different meanings
Question: "connection" used in the same way in the following two sentences?

The connection between overeating and obesity.

My headache has no connection with me going out last night.
Answer:
the same meaning