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Which are the best definitions for theorem, conjecture, and axiom?

1. A statement that is assumed to be true without proof is a(n) _____.
2. A statement that has been shown to be true by rigorous application of logic is a(n) _____.
3. A statement that is believed to be true but hasn't been proven is a(n) _____.

A. theorem
B. conjecture
C. axiom

Sagot :

GinnyAnswer

Final answer:

Theorems in geometry are logical deductions from definitions, axioms are fundamental principles, and conjectures are statements awaiting rigorous proof.


Explanation:

Theorems in geometry are logical deductions based on original definitions and assumptions. They build upon each other, starting from basic concepts to more complex results.

Axioms are fundamental principles in geometry serving as starting points for logical development. They are assumed to be true and are used to prove other statements.

Conjectures in geometry are statements believed to be true but not yet proven rigorously. They are subject to validation through rigorous application of logic.


Learn more about Definitions in Geometry

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