Final Answer:
The parts of the former Spanish empire that remained in North America include present-day Mexico, parts of the southwestern United States, and territories such as California, Texas, Arizona, New Mexico, and Florida.
Step-by-step explanation:
After the Spanish colonization in the Americas, Mexico emerged as a significant part of the former Spanish empire in North America. The territories that form present-day Mexico were under Spanish rule for several centuries. In addition to Mexico, the southwestern region of the United States was also part of the Spanish empire. This includes areas such as California, Texas, Arizona, and New Mexico.
Furthermore, Florida was another region that remained under Spanish control until it was ceded to the United States in the early 19th century. These regions bear a historical legacy of Spanish colonization, influencing their culture, architecture, and traditions.