Conditional, Converse, Inverse, Contrapositive

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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). For example, 'If it rains, then the ground is wet.'

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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 reversing the hypothesis and conclusion. For example, the converse of 'If it rains, then the ground is wet' is 'If the ground is wet, then it rains.'

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What is the inverse of a conditional statement?

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The inverse of a conditional statement is formed by negating both the hypothesis and conclusion. For example, the inverse of 'If it rains, then the ground is wet' is 'If it does not rain, then the ground is not wet.'

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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 reversing and negating both the hypothesis and conclusion. For example, the contrapositive of 'If it rains, then the ground is wet' is 'If the ground is not wet, then it does not rain.'

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What is the hypothesis in a conditional statement?

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The hypothesis is the 'if' part of a conditional statement. For example, in 'If it is Wednesday, then Jane doesn't have baseball practice,' the hypothesis is 'It is Wednesday.'

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What is the conclusion in a conditional statement?

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The conclusion is the 'then' part of a conditional statement. For example, in 'If it is Wednesday, then Jane doesn't have baseball practice,' the conclusion is 'Jane doesn't have baseball practice.'

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How do you identify the contrapositive of a statement?

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

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What is an example of a conditional statement?

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An example of a conditional statement is: 'If a shape is a square, then it has four equal sides.'

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What is an example of a converse statement?

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An example of a converse statement is: 'If a shape has four equal sides, then it is a square.'

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What is an example of an inverse statement?

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An example of an inverse statement is: 'If a shape is not a square, then it does not have four equal sides.'