Question

with regard to mathematics, what is an accepted statement of fact that is used to prove other statements?
a. theorem
b. axiom
c. definition
d. undefined term

Explanation:

• A theorem is a statement proven using other accepted facts, not the starting accepted fact.
• An axiom is a statement accepted as true without proof, used as a foundation to prove other mathematical statements.
• A definition assigns meaning to a term, not a factual statement for proofs.
• An undefined term is a basic concept (like point/line) not defined, not a factual statement for proofs.

Answer:

B. axiom