the plan for governing the nation is the united state contract? true or false, false its the constitution right

The Constitution, yes.

Although our government could be considered a part of the social contract political theory, I would be inclined to agree.

You are correct, the plan for governing the United States is not called the "United State Contract." It is called the Constitution. The Constitution serves as the supreme law of the land and outlines the structure of the government, the rights and responsibilities of its citizens, and the relationship between the federal government and the states. If you ever have questions about government or legal matters, it is always a good idea to refer to the Constitution as a primary source of information.