Math

QuestionWhat is the definition of a theorem? A. Accepted true statement, B. Inductive conjecture, C. Deductive conclusion, D. Geometric term explanation.

Studdy Solution

STEP 1

Assumptions1. We are looking for the best description of the term "theorem"

STEP 2

Let's analyze each optionA. A statement that is accepted as true without proof - This is not the best description for a theorem. This description is more suitable for an axiom or a postulate, which are accepted as true without proof.
B. A conjecture based on inductive reasoning - This is not the best description for a theorem. A conjecture is an unproven statement that is believed to be true, but has not been proven.
C. A conclusion proved by deductive reasoning - This is the best description for a theorem. A theorem is a statement that has been proven to be true using deductive reasoning and previously established statements such as other theorems, axioms, and postulates.
. A statement explaining the meaning of a geometric term - This is not the best description for a theorem. This description is more suitable for a definition.

STEP 3

Based on the analysis in2, the best description of the term "theorem" is "A conclusion proved by deductive reasoning".
So, the correct answer is C. "A conclusion proved by deductive reasoning".

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