Conditional Statements

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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 (if part) and a conclusion (then part).

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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 'if'. It represents a 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 'then'. It represents the result or outcome of the hypothesis being true.

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What is the converse of a conditional statement?

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The converse of a conditional statement is formed by switching the hypothesis and conclusion. For example, the converse of 'If P, then Q' is 'If Q, then P'.

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What is a counterexample?

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A counterexample is an example that disproves a statement or proposition. It shows that the statement is not always true.

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What is the contrapositive of a conditional statement?

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The contrapositive of a conditional statement is formed by negating both the hypothesis and conclusion and switching them. For example, the contrapositive of 'If P, then Q' is 'If not Q, then not P'.

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How do you determine if a conditional statement is true or false?

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A conditional statement is false only if the hypothesis is true and the conclusion is false. In all other cases, it is true.

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What is an example of a true conditional statement?

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If it is raining, then the ground is wet.

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What is an example of a false conditional statement?

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If it is snowing, then it is summer.

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What does it mean for two angles to be congruent?

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Two angles are congruent if they have the same measure.