Concept:A theorem is a mathematical statement whose truth is logically established using deductive reasoning from axioms (self-evident truths).
Explanation:A theorem is not just any statement; it must be proven.
The proof starts with accepted assumptions called axioms.
Then, using logical arguments, we derive the theorem as a conclusion.
This process ensures the theorem is always true within the system.
To clarify the difference between related terms, refer to the following table from NCERT:
Thus, a theorem is a statement that has been proven by logical arguments based on axioms.
Answer:A. a statement that has been proven by logical arguments based on axioms