Question

select the correct answer from each drop - down menu.
which are the best definitions for theorem, conjecture, and axiom?
a statement that is assumed to be true without proof is a(n)
a statement that has been shown to be true by vigorous application of logic is a(n) also,
is a statement that is believed to be true but hasnt been proven.

Explanation:

1. An axiom is a foundational statement accepted as true without needing proof, forming the basis for further reasoning.
2. A theorem is a statement that is rigorously proven to be true using logical steps and established principles.
3. A conjecture is a statement that is believed to be true based on evidence or intuition, but has not yet been formally proven.

Answer:

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