Geo 2.2 Contrapositive

Front

What is the contrapositive of the statement: 'If it rains, then the ground is wet'?

Back

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

Front

Define '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 hypothesis in the statement: 'If it snows, then school is canceled'?

Back

It snows.

Front

What is the conclusion in the statement: 'If it snows, then school is canceled'?

Back

School is canceled.

Front

What is the inverse of the statement: 'If it is a dog, then it is a mammal'?

Back

If it is not a dog, then it is not a mammal.

Front

What is the converse of the statement: 'If it is a dog, then it is a mammal'?

Back

If it is a mammal, then it is a dog.

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; they have the same truth value.

Front

How do you form the contrapositive of a conditional statement?

Back

You switch the hypothesis and conclusion and negate both.

Front

What is an example of a conditional statement?

Back

If it is a cat, then it is a mammal.