Question

which best describes the meaning of the term theorem? a. a conclusion proved by deductive reasoning b. a statement explaining the meaning of a geometric term c. a conjecture based on inductive reasoning d. a statement that is accepted as true without proof

Explanation:

• Option A: A theorem in mathematics (and related fields) is a conclusion that has been proven using deductive reasoning.
• Option B: A statement explaining the meaning of a geometric term is a definition, not a theorem.
• Option C: A conjecture based on inductive reasoning is an unproven statement, while a theorem is proven.
• Option D: A statement accepted as true without proof is an axiom or postulate, not a theorem.

Answer:

A. A conclusion proved by deductive reasoning