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Which best describes the meaning of the term theorem?A.A statement explaining the meaning of a geometric termB.A conclusion proved by deductive reasoningC.A statement that is easily deduced from a proven theoremD.A conjecture based on inductive reasoning

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Which best describes the meaning of the term theorem?A.A statement explaining the meaning of a geometric termB.A conclusion proved by deductive reasoningC.A statement that is easily deduced from a proven theoremD.A conjecture based on inductive reasoning

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Solution

The term "theorem" is best described as B. A conclusion proved by deductive reasoning. This is because a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms. The proof uses deductive reasoning, meaning it starts with general statements (or premises) and determines what can be logically and necessarily concluded from them.

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