The correct answer to this open question is the following.
Although there are no options attached we can say the following.
How did US relations with European powers change during the 1800s?
Foreign relations changed radically under the United States' idea of the Monroe Doctrine that European nations had to end with the intromission in the affairs of Latin America.
President Monroe sent a clear message to European superpowers such as Great Britain, Spain, and France in 1823, to refrain to attempt more colonization efforts in Latin American. He added that if they would try to keep colonization, that action would be understood as a hostile action against the United States.
Theodore Roosevelt's corollary at the beginning of the 1900s came to emphasize this idea that all Latin American issues had to be resolved by the United States.