Conditional, Converse, Inverse and 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 

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

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

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

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.

Which of the following is the inverse to the statement: 
"If you diet and exercise, then you will lose weight."

• If you don't diet and exercise, then you will not lose weight.
• If you don't diet and exercise, then you will lose weight.
• If you lose weight, then you dieted and exercised.
• If you don't lose weight, then you diet and exercise. 

Tags

CCSS.8.G.B.8

Original: 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

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse
• Inverse
• Contrapositive
• Negation