Conditional Converse Inverse Contrapositive Biconditional

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What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (the hypothesis) implies the second proposition (the conclusion).

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What is the converse of a conditional statement?

Back

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?

Back

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?

Back

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

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What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'P if and only if Q.'

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How do you form the contrapositive of 'If two lines have no common point, then they are parallel'?

Back

The contrapositive is 'If two lines are not parallel, then they have a common point.'

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How do you form the biconditional of 'If two lines have no common point, then they are parallel'?

Back

The biconditional is 'Two lines have no common point if and only if they are parallel.'

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How do you write the if-then form of 'Two circles with equal diameters are congruent'?

Back

The if-then form is 'If two circles have equal diameters, then they are congruent.'

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What is the inverse of 'If two lines have no common point, then they are parallel'?

Back

The inverse is 'If two lines have a common point, then they are not parallel.'

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What is the converse of 'If two circles have equal diameters, then they are congruent'?

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The converse is 'If two circles are congruent, then they have equal diameters.'