Conditional Converse Inverse Contrapositive

What is the inverse?

If a number can be divided by 2, then it is even.

• If a number cannot be divided by 2, then it is not even.

• If a number is not even, then it cannot be divided by 2

• If a number can be divided by 2, then it is odd

• If a number is even, then it can be divided by 2.

What is the inverse of this statement?

• If 2 lines are not parallel, then they touch

• If 2 lines touch, then they are not parallel

• If 2 lines are parallel, then they touch

• If 2 lines are not parallel, then they are not lines.

Which is the converse of the statement?

• If you are not a guitar player, then you are not a musician.

• If you are a musician, then you are a guitar player.

• If you are a guitar player, then you are not a musician.

• If you are not a musician, then you are not a guitar player.

What is the inverse to this statement?

• If you live in Canada, you live in Montreal

• If you don't live in Montreal, then you don't live in Canada.

• If you don't live in Canada, you don't live in Montreal.

• Montreal is in Brazil.

What is the inverse of this conditional?

• If monkeys don't wear hats, then chickens don't marry turtles.

• If chickens don't marry turtles, then monkeys don't wear hats.

• If monkeys wear hats, then the moon is made of cheese

• If monkeys don't wear hats, then chickens are delicious.

What is the converse to this?

• If you can see a rainbow, then it is raining and sunny

• If you cannot see a rainbow, then it is not raining and sunny.

• If it is not raining and sunny, then you cannot see a rainbow.

• If it is raining and sunny, then you can see a rainbow.

Given the 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 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 statement; "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.

What is the inverse of this statement?

• If monkeys don't wear hats, then ducks don't marry turtles.

• If ducks don't marry turtles, then monkeys don't wear hats.

• If monkeys wear hats, then the moon is made of cheese

• If monkeys don't wear hats, then ducks are delicious.