Final answer:
President Eisenhower's statement from 1954 about a row of dominoes falling was in support of the Domino Theory, which guided U.S. foreign policy to contain the spread of Communism, particularly in Southeast Asia, through increased involvement and support.
Step-by-step explanation:
President Eisenhower's statement referencing a row of dominos falling reflects his support for the Domino Theory during the Cold War. This theory suggested that if one country in a region came under Communist influence, neighboring countries would follow in a domino effect. Eisenhower's adherence to this theory was significant in deciding U.S. foreign policy, particularly in Southeast Asia, where the United States increased its involvement to prevent the spread of Communism, which was a part of the broader policy of containment. The Eisenhower Doctrine also arose from these views, with President Eisenhower promising economic and military aid to nations resisting attacks by nations controlled by international Communism. This stance was representative of a broader strategy during the Eisenhower administration to prevent the spread of Communist ideology and maintain American influence in the world.