What statement requires proof before it is accepted as a true statement?*1 pointaxiomhypothesispostulatetheorem
Question
What statement requires proof before it is accepted as a true statement?
- 1 point
- axiom
- hypothesis
- postulate
- theorem
Solution
To answer the question, let’s define each option briefly:
- Axiom: A statement accepted as true without proof.
- Hypothesis: A statement or assumption made for the sake of argument or investigation, often requiring proof.
- Postulate: A statement assumed to be true in a mathematical system, similar to an axiom, often used without proof.
- Theorem: A statement that has been proven to be true based on previously established statements, such as axioms and theorems.
Final Answer
The correct answer is theorem, as it requires proof before being accepted as true.
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