Contrapositive Corner

Froggy Jumps

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Logic proof by contrapositive

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Raelii

Philippines

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Contrapositive Corner


Froggy Jumps Contrapositive CornerVersion en ligne Logic proof by contrapositive par Raelii 1 What is the contrapositive of a statement P → Q? a If P, then Q b If not Q, then not P c If Q, then P 2 If a false premise leads to a conclusion, what does contrapositive help us show? a Contradiction invalidates the proof b The contrapositive may be true even if the original seems false c The original is always true 3 Which is equivalent to P → Q? a P ∧ Q b ¬Q → ¬P c P ∨ Q 4 To prove P → Q using contrapositive, you prove: a ¬Q → ¬P b P → ¬Q c P ∧ Q 5 If it is not true that Q, what can we conclude about P in the contrapositive? a Q must be true b P is not necessarily true; we conclude ¬P c P must be true 6 Which of these is a valid contrapositive step? a Assume ¬P and derive Q b Assume P and derive Q c Assume ¬Q and derive ¬P 7 Contrapositive is a logical equivalence because: a P → Q is always true b P → Q is true iff ¬Q → ¬P is true c ¬P → ¬Q is equivalent 8 In a proof, can contrapositive be used when P → Q is not easily shown directly? a Yes, often easier to prove ¬Q → ¬P b No, never c Only with direct proof 9 Which statement is the contrapositive of 'If it rains, the street is wet'? a If the street is not wet, it did not rain b If the street is wet, it did not rain c If it rains, the street is dry 10 Which best describes contrapositive proof? a Prove ¬Q → ¬P to conclude P → Q b Prove P ∧ Q c Prove P → ¬Q

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Contrapositive Corner

Froggy Jumps

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Contrapositive CornerVersion en ligne

par Raelii

What is the contrapositive of a statement P → Q?

If a false premise leads to a conclusion, what does contrapositive help us show?

Which is equivalent to P → Q?

To prove P → Q using contrapositive, you prove:

If it is not true that Q, what can we conclude about P in the contrapositive?

Which of these is a valid contrapositive step?

Contrapositive is a logical equivalence because:

In a proof, can contrapositive be used when P → Q is not easily shown directly?

Which statement is the contrapositive of 'If it rains, the street is wet'?

Which best describes contrapositive proof?