The statement that accurately analyzes how the Communist Revolution impacted the Cold War is: China became an ally of the Soviet Union during the Cold War.
After the Communist Revolution in 1949, China, led by the Chinese Communist Party under Mao Zedong, aligned itself with the Soviet Union. This alliance was significant during the early years of the Cold War, as both countries shared a communist ideology and sought to counter Western capitalist powers. However, it's important to note that this relationship later became strained in the 1960s, leading to a split between China and the Soviet Union.