What are similarities and differences between a village a town and a city in the US?

In the United States, villages, towns, and cities are all types of incorporated municipalities, each with varying population sizes and forms of government. A village is typically the smallest of the three, with a population ranging from a few hundred to a few thousand residents, and is often located within a larger town or city. A town is larger than a village but smaller than a city, with a population that can range from a few thousand to tens of thousands. A city is the largest of the three, with a population that usually exceeds tens of thousands and may have more advanced infrastructure, services, and amenities compared to villages and towns.