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

We will consider performance issues under the head of future improvements.

Under the head of minor Roman poets.

OPTIONS:
- different meanings
- the same meaning
Answer: the same meaning
Question: "piece" used in the same way in the following two sentences?

An important piece of the evidence.

He wrote an interesting piece on Iran.

OPTIONS:
- different meanings
- the same meaning
Answer: different meanings
Question: "nonprofit" used in the same way in the following two sentences?

If it wasn't subsidized, the nonprofit would be bankrupt.

Employees of a nonprofit rarely make as much as greedy counterparts in the commercial world.

OPTIONS:
- different meanings
- the same meaning
Answer: the same meaning
Question: "vegetate" used in the same way in the following two sentences?

After a hard day's work, I vegetate in front of the television.

The fields vegetate vigorously.

OPTIONS:
- different meanings
- the same meaning
Answer:
different meanings