The Aztec
The AZTEC People.
Aztec
It is the name of a Aztec Mexican leader.
Aztec Empire.
Acapulco
it's his Mexican princess.
The Aztec Civilization.
The Mexican coat of arms (on the Mexican flag) would be one of such items.
It depends on your perspective. I'm sure the Aztec's considered themselves Mexican, but now their ancestors are considered Mexican unless they want to add that special information.
The Aztec capital of Tenochtitlan was in the location of the today's capital of the United Mexican States (Mexico), Mexico City.
The Aztec Empire.