Final answer:
The American Legion runs the programs Boys' State, Boys' Nation, Girls' Nation, and Girls' State.
Step-by-step explanation:
The programs Boys' State, Boys' Nation, Girls' Nation, and Girls' State are all run by the American Legion, which is an organization that focuses on supporting veterans and serving the community. These programs provide opportunities for high school students to learn about government and citizenship through hands-on experiences such as mock legislative sessions and leadership training.