Review Conditional Statements

Front

What is a Conditional Statement?

Back

A statement that can be written in the form 'If p, then q', where p is the hypothesis and q is the conclusion.

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What is the contrapositive of a conditional statement?

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The contrapositive of 'If p, then q' is 'If not q, then not p'.

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What is the Inverse of a conditional statement?

Back

The inverse of 'If p, then q' is 'If not p, then not q'.

Front

What is the Converse of a conditional statement?

Back

The converse of 'If p, then q' is 'If q, then p'.

Front

True or False: To write the converse, you negate both the hypothesis and the conclusion.

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False. You only switch the hypothesis and conclusion without negating them.

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What does ~p → ~q represent?

Back

This represents the Inverse of the conditional statement 'If p, then q'.

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What does ~q → ~p represent?

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This represents the Contrapositive of the conditional statement 'If p, then q'.

Front

If the statement is 'If it rains, then the ground is wet', what is the contrapositive?

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If the ground is not wet, then it did not rain.

Front

If the statement is 'If a shape is a square, then it has four sides', what is the converse?

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If a shape has four sides, then it is a square.

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What is an example of a Conditional Statement?

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If a student studies, then they will pass the exam.