Conditional, Converse, Inverse, Contrapostive

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.

Front

What is the Converse of a Conditional statement?

Back

The statement formed by reversing the hypothesis and conclusion of a conditional statement, written as "If Q, then P."

Front

What is the Inverse of a Conditional statement?

Back

The statement formed by negating both the hypothesis and conclusion of a conditional statement, written as "If not P, then not Q."

Front

What is the Contrapositive of a Conditional statement?

Back

The statement formed by negating and reversing the hypothesis and conclusion of a conditional statement, written as "If not Q, then not P."

Front

Identify the Contrapositive: If it rains, then the ground is wet.

Back

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

Front

Identify the Inverse: If it rains, then the ground is wet.

Back

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

Front

Identify the Converse: If it rains, then the ground is wet.

Back

If the ground is wet, then it rains.

Front

What does it mean to negate a statement?

Back

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

Front

What is the relationship between a Conditional statement and its Contrapositive?

Back

A Conditional statement and its Contrapositive are logically equivalent; if one is true, the other is also true.

Front

What is the relationship between a Conditional statement and its Inverse?

Back

A Conditional statement and its Inverse are not logically equivalent; one can be true while the other is false.