2.1 Practice- Inverse, Converse, Contrapositive

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

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

Back

The hypothesis is 'It is raining.'

Front

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

Back

The conclusion is 'The ground is wet.'

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 contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not 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

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the relationship between a statement and its contrapositive?

Back

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