Proof by Contradiction

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More Lessons for High School Regents Exam

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

How to Proof by Contradiction (also called Indirect Proof)?
Suppose we want to prove S
1. Assume not S.
2. Try to find a contradiction by the implications of not S. (Show that not S is false)
3. If we find a contradiction then we can accept S to be true since not S is false.

Proof by Contradiction
Proof that \(\sqrt 2 \) is irrational Proof by Contradiction Indirect Proof: Lesson (Geometry Concepts)
In this lesson, you'll learn how to write indirect proofs, or proofs by contradiction, by assuming a hypothesis is false. Indirect Proof: Examples
This video shows how to work step-by-step through two examples in Indirect Proof.