Conditional, Converse, Inverse, Contrapostive

Front

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 (hypothesis) implies the second (conclusion).

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If p, then q' is 'If q, then p.'

Front

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.'

Front

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.'

Front

How do you form the contrapositive of a statement?

Back

To form the contrapositive, negate both the hypothesis and conclusion of the original statement and switch their places.

Front

Given: 'If it rains, then the ground is wet.' What is the converse?

Back

If the ground is wet, then it rains.

Front

Given: 'If it rains, then the ground is wet.' What is the inverse?

Back

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

Front

Given: 'If it rains, then the ground is wet.' What is the contrapositive?

Back

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

Front

What does it mean to negate a statement?

Back

To negate a statement means to state the opposite of that statement.

Front

Identify the converse of: 'If angles are congruent, then the measures of the angles are equal.'

Back

If the measures of the angles are equal, then the angles are congruent.