Conditional Statements

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

Identify the hypothesis in the statement: 'If it rains, then the ground is wet.'

Back

Hypothesis: It rains.

Front

Identify the conclusion in the statement: 'If it rains, then the ground is wet.'

Back

Conclusion: The ground is wet.

Front

What is the contrapositive of the statement: 'If I have a cat, then I have a pet.'?

Back

If I do not have a pet, then I do not have a cat.

Front

What is the converse of the statement: 'If it is a dog, then it is an animal.'?

Back

If it is an animal, then it is a dog.

Front

What is the inverse of the statement: 'If it is a dog, then it is an animal.'?

Back

If it is not a dog, then it is not an animal.

Front

What do we do to form the converse of a conditional statement?

Back

We switch the hypothesis and conclusion.

Front

What do we do to form the inverse of a conditional statement?

Back

We negate both the hypothesis and conclusion.

Front

What is the definition of a hypothesis in a conditional statement?

Back

The part of the statement that follows 'if'.

Front

What is the definition of a conclusion in a conditional statement?

Back

The part of the statement that follows 'then'.