Final answer:
The Aztecs looked for rich agricultural land, a strategic military position, and the presence of natural resources when establishing their city of Tenochtitlán.
Step-by-step explanation:
The Aztec city of Tenochtitlán was established based on several key factors. They looked for a) rich agricultural land, which they achieved through the construction of chinampas, rectangular plots made of mud and vegetation on lake beds; b) a strategic military position, as they built causeways and formed alliances to protect and expand their empire; and c) the presence of natural resources, which they obtained through trade and tribute from subordinate states. Although a favorable climate was not explicitly mentioned, the Aztecs successfully adapted to the swampy land and used sophisticated irrigation systems to support a large population.