Converse, Inverse, Contrapositive, Biconditionals

When taking the converse we ___________ the hypothesis and conclusion.

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

When taking the inverse we _____________ the hypothesis and conclusion.

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

What does this mean?

• Conditional 
• Inverse 
• Converse 
• Contrapositive 

What does this mean?

• Conditional 
• Converse
• Inverse
• Contrapositive

What is this?

• Conditional
• Inverse
• Converse
• Contrapositive

Identify the hypothesis and conclusion:

If  $3x-7=32$  , then  $x=13.$ 

• Hypothesis:  $3x-7=32$  
  Conclusion: $x=13$  

• Hypothesis: $x=13$  
  Conclusion:  $3x-7=32$  

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Given the conditional statement;

"If it is Wednesday, then Jane doesn't have baseball practice."

What is the hypothesis of this statement.

• It is Wednesday

• Jane doesn't have baseball practice

• If it is Wednesday

• Then Jane doesn't have baseball practice

Given the conditional statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

• If Max isn't grounded then he gets good grades.

• If Max doesn't get good grade then he will be grounded.

• If Max gets grounded then he doesn't get good grades.

• If Max gets good grades, the he will get grounded.

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