Question

Countries that did not support either superpower during the Cold War, were called

Answer 1

Countries that didn't support either superpower during the Cold War were called neutral countries - a.

Neutral countries are always countries which aren't directly involved in a conflict and have their own desires, goals, etc. They don't intervene in the relationship between other countries which might affect how they function.  

Answer 2

Countries that did not support either superpower during the Cold War, were called nonaligned countries.