Conditional Converse Inverse Contrapositive

If today is President's Day, then there is no school.

Write the converse.

• If today is not President's Day, then there is school.

• If there is school today, then it is not President's Day.

• If there is no school today, then it is President's Day.

If it rains, then the field trip will be canceled.

Write the inverse.

• If the field trip is canceled, then it rains.

• If the field trip is not canceled, then it will not rain.

• If it does not rain, then the field trip will not be canceled.

What is the converse to this statement?

• If it isn't dark outside, then it is not night.

• If it is night, then it is dark outside

• If it is not night, then it is not dark outside.

• It is night.

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 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.

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.