Geometry - Logic and Reasoning Review

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What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion must also be true.

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What is the Law of Syllogism?

Back

The Law of Syllogism allows one to deduce a conclusion from two conditional statements when the conclusion of one statement is the hypothesis of the other.

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What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

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What is a hypothesis in a conditional statement?

Back

The hypothesis is the part of a conditional statement that follows 'if'.

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What is a conclusion in a conditional statement?

Back

The conclusion is the part of a conditional statement that follows 'then'.

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What is the converse of a conditional statement?

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The converse of a conditional statement 'If p, then q' is 'If q, then p'.

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How do you identify the hypothesis and conclusion in 'If it rains, then the ground is wet'?

Back

Hypothesis: 'It rains'; Conclusion: 'The ground is wet'.

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What does it mean for a statement to be valid?

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A statement is valid if it logically follows from the premises or assumptions.

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What is inductive reasoning?

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Inductive reasoning involves making generalizations based on specific observations or examples.

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What is deductive reasoning?

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Deductive reasoning involves drawing specific conclusions from general principles or premises.