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

To purchase land, to purchase a house.

Carmen purchased a dress for $50.
Answer: the same meaning
Question: "mire" used in the same way in the following two sentences?

Caught in the mire of poverty.

The country is still trying to climb out of the mire left by its previous president.
Answer: the same meaning
Question: "year" used in the same way in the following two sentences?

A normal year has 365 full days, but there are 366 days in a leap year.

This Chinese year is the year of the Rooster.
Answer: the same meaning
Question: "use" used in the same way in the following two sentences?

Use the plastic bags to store the food.

We can use this mathematical formula to solve the problem.
Answer:
the same meaning