logic - converse, inverse & contrapositive

When taking the converse of a statement we_____ the hypothesis and the conclusion.

• negate
• highlight
• switch
• switch and negate

When taking the inverse of a statement, we_______ the hypothesis and the conclusion.

• negate
• switch
• switch and negate
• keep 

Tags

CCSS.HSF.BF.B.4

Conditional: If it does not rain, then we will have practice.
What is "If it rains today, then we will have not practice", called

• Inverse
• Converse
• Contrapositive
• Counterexample

Tags

CCSS.HSS.CP.A.3

Given: If I have a Siberian Husky, then I have a dog
Identify the contrapositive

• If I do not have a Siberian Husky, then I do not have a dog
• If I do not have a dog, then I do not have a Siberian Husky.
• If I have a dog, then I have a Siberian Husky
• If I have a dog, then I don't have a Siberian Husky

If two angles are supplementary, then they have a sum of 180. Is the inverse true?

• Yes, if two angles are not supplementary, then they do not add to 180
• no, if angles don't add to 180, they can still be supplementary
• no, Supplementary angles add to 90
• yes, supplementary angles add to less than 180

When taking the converse we ___________ the hypothesis and conclusion.

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

What does this mean?

• Conditional 
• Inverse 
• Converse 
• Contrapositive 

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

• If it is 6pm, then it is time for dinner.
• If it is time for dinner, then it is 6pm.
• If you want to eat dinner, then you must eat at 6pm.
• None of these are right

Conditional: If you are a duck, then you drive a red car.
What is this statement called:If you do not drive a red car, then you are not a duck.

• Conditional
• Converse
• Inverse
• Contrapositive

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

• 10
• -2
• 0
• True. There is no counterexample.

Tags

CCSS.6.NS.C.5