Exploring Converse, Inverse, and Contrapositive Statements

What is the hypothesis in the conditional statement 'If you live in Los Angeles, then you live in California'?

• Living in San Francisco

• Living in Sacramento

• Living in Los Angeles

• Living in California

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Which symbol represents the negation of a statement?

• ¬

• →

• ∨

• ∧

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the converse of the statement 'If you live in Los Angeles, then you live in California'?

• If you don't live in California, then you don't live in Los Angeles

• If you don't live in Los Angeles, then you don't live in California

• If you live in Los Angeles, then you live in California

• If you live in California, then you live in Los Angeles

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Is the converse of the statement 'If you live in Los Angeles, then you live in California' true or false?

• True

• False

• Cannot be determined

• Depends on the context

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the inverse of the statement 'If you live in Los Angeles, then you live in California'?

• If you don't live in Los Angeles, then you don't live in California

• If you don't live in California, then you don't live in Los Angeles

• If you live in California, then you live in Los Angeles

• If you live in Los Angeles, then you live in California

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Is the inverse of the statement 'If you live in Los Angeles, then you live in California' true or false?

• Depends on the context

• True

• False

• Cannot be determined

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the contrapositive of the statement 'If you live in Los Angeles, then you live in California'?

• If you live in California, then you live in Los Angeles

• If you don't live in Los Angeles, then you don't live in California

• If you don't live in California, then you don't live in Los Angeles

• If you live in Los Angeles, then you live in California

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Is the contrapositive of the statement 'If you live in Los Angeles, then you live in California' true or false?

• Depends on the context

• Cannot be determined

• False

• True

What is a biconditional statement?

• A statement that is true only if the inverse is true

• A statement that is true only if both the conditional and converse are true

• A statement that is true only if the contrapositive is true

• A statement that is always true

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the contrapositive of the statement 'If I am hungry, then I will eat pizza'?

• If I am not hungry, then I will not eat pizza

• If I don't eat pizza, then I am not hungry

• If I eat pizza, then I am hungry

• If I will not eat pizza, then I am not hungry

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A