Question

Which best describes the meaning of the term theorem? A. A conjecture based on inductive reasoning B. A conclusion proved by deductive reasoning C. A statement that is accepted as true without proof D. A statement explaining the meaning of a geometric term

Answer 1

A theorem is a notion that has been continuously proven through logic and mathematics. These notions are accepted to be true based on the given arguments. The answer to this problem is B. A conclusion proved by deductive reasoning

Answer 2

B. A conclusion proved by deductive reasoning

In other words, a theorem is a conclusion, statement, or result that has been proved to be true by deductive reasoning, that is to say, by going through a logical process that starts with a general statement (hypothesis) and follows several steps (such as formulas and operations) in order to reach a specific, logical conclusion.