What did the European powers call there colonies in the new world?

European powers referred to their colonies in the New World as "New France," "New Spain," "New England," and similar names, often incorporating the name of the mother country. These colonies were viewed as extensions of their homeland and were established for various purposes, including trade, resource extraction, and spreading Christianity. The establishment of these colonies often led to significant cultural, social, and economic exchanges, as well as conflicts with Indigenous populations.