Converse, Inverse, Contrapositive

What is the contrapositive to this?

• If an angle is not greater than 90, then it is not obtuse

• If an angle is not obtuse then it is not greater than 90.

• If an angle is 90, then it is right

• If an angle is not greater than 90 then it must be acute

Tags

CCSS.HSG.CO.A.1

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.

When taking the converse we ___________ the hypothesis and conclusion.

• negate
• switch
• leave the same
• switch and negate

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.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSS.CP.A.1

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.

When taking the inverse we _____________ the hypothesis and conclusion.

• negate
• switch
• switch and negate
• leave the same

Tags

CCSS.HSF.BF.B.4

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.

Tags

CCSS.HSS.CP.A.3