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Is an example that proves that a conjecture or statement is false?
If a conjecture is made, and can be determined that it is false, it takes only one false example to show that a conjecture is not true. The false example is called a counterexample.
What term is used to prove whether any statement is false?
Proof By Contradiction Definition Proof by contradiction in logic and mathematics is a proof that determines the truth of a statement by assuming the proposition is false, then working to show its falsity until the result of that assumption is a contradiction.
What are the examples of conditional statement?
Conditional Statement Examples
- If my cat is hungry, then she will rub my leg.
- If a polygon has exactly four sides, then it is a quadrilateral.
- If triangles are congruent, then they have equal corresponding angles.
What proves a conjecture false?
To show that a conjecture is false, you have to find only one example in which the conjecture is not true. It can be a drawing, a statement, or a number. is a statement that can be written in the form “if p, then q.” It is false only when the hypothesis is true and the conclusion is false.
What is a situation that proves a statement to be true?
Geometry Chapter 2-Part 1
| A | B |
|---|---|
| Theorem | A statement or conjecture that can be proven true by undefined terms, definitions, and postulates |
| Proof | A logical argument in which each statement you make is supported by a statement that is accepted as true |
| Conjecture | Educated guess based on known information |
How do you prove a conditional statement is false?
A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said “if you get good grades then you will not get into a good college”.
What is contra positive statement?
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of “If it rains, then they cancel school” is “If they do not cancel school, then it does not rain.” If p , then q . If q , then p .