Converse, Inverse and Contrapositives

Given the statement "If I study, then I will do well in the quiz" and what is the statement "If I don't study then I won't do well in the quiz"?

• Converse

• Inverse

• Contrapositive

• Contrainverse

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.

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.

• If the food is not in the oven, then it is not cooked.

• If the food is cooked, then its in the oven.

• If food is not in the oven, then its cooked.

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 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.

If Jenny buys a guitar, then she will not buy a keyboard.

What is this?

If Jenny does buy a keyboard, then she will not buy a guitar.

• Converse

• Inverse

• Contrapositive

• Negation

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.

What is the truth value of the converse of:

"If a number is divisible by 20, then it is even."

• True

• False

• Cannot be determined