Question

Which one of the following option is correct for the statement :
$\text{A line can extend to infinity}$.

• A.
  It is an axiom.
• B.
  It is a theorem
• C.
  Neither axiom nor theorem.
• D.
  Either axiom or theorem

Answer 1

The correct option is A

It is an axiom.
Theorem: A mathematical statement that we know is true and which has a proof is a theorem.
Axiom: A mathematical statement which we assume to be true without a proof is called an axiom.



In geometry, the statement that a line can extend to infinity. This is an Axiom because we do not need a proof to state its truth as it is evident in itself.