Which best describes the meaning of the term theorem?A.A statement that is easily deduced from a proven theoremB.A statement explaining the meaning of a geometric termC.A conclusion proved by deductive reasoningD.A conjecture based on inductive reasoningSUBMITarrow_backPREVIOUS
Question
Which best describes the meaning of the term theorem?A.A statement that is easily deduced from a proven theoremB.A statement explaining the meaning of a geometric termC.A conclusion proved by deductive reasoningD.A conjecture based on inductive reasoningSUBMITarrow_backPREVIOUS
Solution
The term "theorem" is best described as "A conclusion proved by deductive reasoning". So, the correct answer is C. 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.
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1. Inductive reasoning starts from known facts and aims to generalize them to different systems where they might be acceptable. Deductive reasoning is a form of "if X is true, then Y is true." It goes from a known and applies it to a specific scenario. We can conclude that to build a theory, we use ... reasoning, but to test it/test a hypothesis, we use ... reasoning
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