Final answer:
The Roosevelt Corollary to the Monroe Doctrine was a U.S. foreign policy that allowed American intervention in Latin American affairs to maintain regional stability and prevent European influence.
Step-by-step explanation:
The central idea of the Roosevelt Corollary is an extension of the Monroe Doctrine which was articulated in President Roosevelt's speech to Congress in 1904.
It asserted the United States' right to intervene as an international police power in the Western Hemisphere. The corollary addressed concerns of European interventions in Latin America and aimed to maintain stability in the region by allowing the U.S. to intervene in Latin American countries facing financial or political turmoil to prevent European nations from exerting influence.
The Roosevelt Corollary is seen as a justification for American imperialism, resulting in significant consequences for U.S.-Latin American relations.