LO 5: Conditional Statements (3)

Conditional Statement: If an animal is a dog, then it has four legs.

What is the hypothesis?

• an animal is a dog

• an animal is not a dog

• it has four legs

• it does not have four legs

Conditional Statement: If an animal is a dog, then it has four legs.

What is the conclusion?

• an animal is a dog

• an animal is not a dog

• it has four legs

• it does not have four legs

Conditional Statement: If you are in California, then you are in Los Angeles.

What is the hypothesis?

• you are in California

• you are not in California

• you are in Los Angeles

• you are not in Los Angeles

Tags

CCSS.HSS.CP.A.5

Conditional Statement: If you are in California, then you are in Los Angeles.

What is the conclusion?

• you are in California

• you are not in California

• you are in Los Angeles

• you are not in Los Angeles

Conditional Statement: If a whole number ends in 8, then it is divisible by 2.

What is the converse of the conditional statement?

• If a whole number is divisible by 2, then it ends in 8.

• If a whole number does not end in 8, then it is not divisible by 2.

• If a whole number is not divisible by 2, then it does not end in 8.

• A whole number ends in 8 if and only if it is divisible by 2.

Conditional Statement: If a whole number ends in 8, then it is divisible by 2.

What is the inverse of the conditional statement?

• If a whole number is divisible by 2, then it ends in 8.

• If a whole number does not end in 8, then it is not divisible by 2.

• If a whole number is not divisible by 2, then it does not end in 8.

• A whole number ends in 8 if and only if it is divisible by 2.

Conditional Statement: If a whole number ends in 8, then it is divisible by 2.

What is the contrapositive of the conditional statement?

• If a whole number is divisible by 2, then it ends in 8.

• If a whole number does not end in 8, then it is not divisible by 2.

• If a whole number is not divisible by 2, then it does not end in 8.

• A whole number ends in 8 if and only if it is divisible by 2.

Conditional Statement: If a doctor suspects her patient has a broken bone, then she should take an X-ray.

"If a doctor does not take an X-ray, then she does not suspect her patient has a broken bone" is the ??? of the conditional.

• converse

• inverse

• contrapositive

• biconditional

Conditional Statement: If a doctor suspects her patient has a broken bone, then she should take an X-ray.

"If a doctor does not suspect her patient has a broken bone, then she should not take an X-ray" is the ??? of the conditional.

• converse

• inverse

• contrapositive

• biconditional

Conditional Statement: If a doctor suspects her patient has a broken bone, then she should take an X-ray.

"A doctor suspects her patient has a broken bone if and only if she takes an X-ray" is the ??? of the conditional.

• converse

• inverse

• contrapositive

• biconditional