Considering the situation described above, the two principles the U.S. adopted with the Soviet Union include deterrence and containment.
This is because deterrence is a principle utilized by the United States to discourage the Soviet Union from expanding its communist ideas across the world.
The United States employed the deterrence principles by building massive weapons of destruction and constantly reminding the Soviet Union that they could wage war against them.
Also, the containment principle is utilized by the United States to contain the aggression of the Soviet Union in places like Vietnam and Korea.
Hence, in this case, it is concluded that the correct answer is "deterrence and containment."
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