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The word "conjecture" can be taken a number of ways.
If the "conjecture" involves an inference based on false or defective information, you need only show convincing or conclusive evidence that the information is false or faulty.
If the "conjecture" is the result of surmise or guessing, then it is nothing more than a guess itself, and, therefore, has no basis in fact or logic.
If the "conjecture" is an unproven mathematical hypothesis, you will need to disprove its validity from its basis. Start with the basic crux of the problem and work step by step until you disprove (or prove) the hypothesis to be untrue (or true). Make sure you have good arguments and sound mathematics.
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How can you prove that a conjecture is false in Geometry?
by bringing evidence to the table
How many counterexamples are required to prove that a conjecture is false?
One is enough.
What shows that a conjecture is false?
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
What is a statement that shows conjecture is false?
A counter example is a statement that shows conjecture is false.
Why can a conjecture be true or false?
Because that is what a conjecture is! It is a proposition that has to be checked out to see f it isalways true, false or indeterminate,sometimes true, false or indeterminate,never true, false or indeterminate.Once its nature has been decided then it is no longer a conjecture.
