Converse, Inverse and Contrapositives

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

• If an animal is not a dog, then it does moo

• If an animal can moo, then it is not a dog

• If an animal does not moo, then it is a dog

• An animal is a dog if and only if it can moo

What is the contrapositive of the statement: If an animal is a dog, then it does not moo.

• If an animal is not a dog, then it does moo

• If an animal can moo, then it is not a dog

• If an animal does not moo, then it is a dog

• An animal is a dog if and only if it can moo

Given the an original conditional, which conditional below is LOGICALLY EQUIVALENT to the ORIGINAL CONDITIONAL?

• Original Conditional

• Inverse

• Contrapositive

• I advise you not to pick this answer.

Given the CONVERSE of an original conditional, which conditional below is LOGICALLY EQUIVALENT to the CONVERSE?

• Original Conditional

• Inverse

• Contrapositive

• I advise you not to pick this answer.

Given the conditional statement; "If I am hungry, then I eat." Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

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

• If I am not hungry, then I eat.

Given the conditional statement; "If Max gets good grade, then he won't be grounded" Which of the following is the contrapositive?

• If Max isn't grounded then he gets good grades.

• If Max doesn't get good grade then he will be grounded.

• If Max gets grounded then he doesn't get good grades.

• If Max gets good grades, the he will get grounded.

Given the conditional; "If Jose eats fish, then he has an allergic reaction" Which of the following is the converse?

• None of these

• If Jose doesn't have an allergic reaction, then he didn't eat fish.

• If Jose doesn't eat fish, then he doesn't have an allergic reaction.

• If Jose has an allergic reaction, then he ate fish.

Given the conditional; "If Ty'Shawn is late then he will get a tardy" What is the inverse?

• If Ty'Shawn is on time, then we won't get a tardy.

• If Ty'Shawn gets a tardy, then he is late.

• If Ty'Shawn is late then he won't get a tardy.

• If Ty'Shawn doesn't get a tardy, then he is on time.

If our class earns ten trucks, then we get a treat.

What is the contrapositive?

• If our class doesn't earn ten trucks then we don't get a treat.

• If our class doesn't get a treat, then we didn't earn ten trucks.

• If out class earns ten trucks then we don't get a treat.

• Trucks!