I HAVE BEEN STUCK ON THIS QUESTION FOREVER. CAN SOMEONE HELP ME OUT WITH IT.

DO THEOREMS REQUIRE PROOFS? EXPLAIN EITHER YES OR NO IN ONE OR TWO SENTENCES.

Yes. By definition, a theorem is "a formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions." Other postulates are used (in proofs) to come up with theorems.