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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

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

Back

If the ground is wet, then it rains.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What does it mean to negate a statement?

Back

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

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

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.