Proof by Contradiction Challenge

Froggy Jumps

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Test understanding via contradiction

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Raelii

Philippines

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Proof by Contradiction Challenge


Froggy Jumps Proof by Contradiction ChallengeOnline version Test understanding via contradiction by Raelii 1 What is the core idea of a proof by contradiction? a Show the assumption leads to a positive result only b Assume the opposite, derive a contradiction, therefore the assumption is false. c Directly prove the statement with construction 2 Which statement is typically proven by contradiction? a If p then q, show p false implies q true b If p then q, derive q from p c If p then q, assume p and not q leads to inconsistency 3 What do we call the result that emerges from a contradiction? a An inconsistency or impossibility b A counterexample c A constructive solution 4 Which is a classic example often used for contradiction proofs? a Every even number is divisible by 2 b Prime numbers are consecutive c √2 is irrational 5 Why is a contradiction considered proof of the original claim? a Because contradictions are always false b Because it is faster than direct proof c Because assuming the opposite would violate established truth 6 What should you do after deriving a contradiction? a Ignore it and present a partial proof b Conclude the original assumption is false c Restart with a stronger assumption 7 Which of these is an essential step in a contradiction proof? a Assume the negation of the statement to prove and derive a contradiction b Prove the contrapositive only c Provide a numerical example 8 Can proof by contradiction be used for existential statements? a No, it only works for universal statements b Yes, by assuming the negation and deriving impossibility c Only with direct constructive proofs 9 Which field commonly uses contradiction proofs? a Music theory b Mathematics and logic c Biology and chemistry 10 What is the risk if a contradiction is incorrectly derived? a Strengthens the original claim b Invalidates the proof or misleads about truth c Confirms the opposite statement

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Proof by Contradiction Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Proof by Contradiction ChallengeOnline version

by Raelii

What is the core idea of a proof by contradiction?

Which statement is typically proven by contradiction?

What do we call the result that emerges from a contradiction?

Which is a classic example often used for contradiction proofs?

Why is a contradiction considered proof of the original claim?

What should you do after deriving a contradiction?

Which of these is an essential step in a contradiction proof?

Can proof by contradiction be used for existential statements?

Which field commonly uses contradiction proofs?

What is the risk if a contradiction is incorrectly derived?