Logic

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What is a conditional statement?

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A conditional statement is a logical statement that has two parts: a hypothesis and a conclusion, typically expressed in the form "If P, then Q."

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What is the hypothesis in a conditional statement?

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The hypothesis is the part of the conditional statement that follows the 'if'. It represents the condition that must be met.

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What is the conclusion in a conditional statement?

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The conclusion is the part of the conditional statement that follows the 'then'. It represents the result or outcome if the hypothesis is true.

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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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What is the inverse of a conditional statement?

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The inverse of a conditional statement "If P, then Q" is "If not P, then not Q."

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What is the contrapositive of a conditional statement?

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The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P."

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How do you identify the converse of a statement?

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To identify the converse, switch the hypothesis and conclusion of the original conditional statement.

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How do you identify the inverse of a statement?

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To identify the inverse, negate both the hypothesis and conclusion of the original conditional statement.

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How do you identify the contrapositive of a statement?

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To identify the contrapositive, negate both the hypothesis and conclusion of the converse of the original conditional statement.

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What does it mean if two angles are congruent?

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If two angles are congruent, it means they have the same measure.