Definition of Conjecture
Examples of Conjecture
The statement "Sum of the measures of the interior angles in any triangle is 180°" is a conjecture.
The statement "If two parallel lines are cut by a transversal, the corresponding angles are congruent."
Solved Example on Conjecture
Sam proposed that '3n + 1 yields a prime number for any even number, n.' and called it a conjecture.
He explained his conjecture using the numbers 2, 4, and 6. He got 7, 13, and 19.
Is his proposition a conjecture?
Correct Answer: B
Step 1: A conjecture is a statement that is believed to be true but not yet proved or disproved.
Step 2: Sam's proposition is not a conjecture, because for n = 8, 3n + 1 gives 25, which is not a prime number.
Related Terms for Conjecture
- Inductive Reasoning
Additional Links for Conjecture