Conditionals/Biconditionals Review

What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

• Tomorrow is Wednesday.

• We have school.

• Today is Tuesday.

• We do not have school.

Write the conclusion of the statement,

"If you are Anthony Rizzo, then you are a Chicago Cub."

• You are Anthony Rizzo.

• You are a Chicago Cub.

• The Cubs are the best.

Tags

CCSS.RI.11-12.5

CCSS.RI.9-10.5

What are the two parts of a conditional statement?

• Hypothesis

• Conclusion

• Converse

• Inverse

Write the converse of
 $If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$  

•  $If\ x\ \ne5,\ then\ 3x\ \ne15.$ 

•  $If\ x\ =\ 5,\ then\ 2x\ =\ 10.$  

•  $If\ \ 3x\ \ne15,\ then\ x\ne5.$ 

•  $If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$  

Rewrite the statement as a conditional statement.

"The sum of the angles of a triangle is 180."

• If the sum of the angles of a triangle, then 180.

• If a figure is a triangle, then the sum of the angles is 180.

• If a figure sums angles, then the triangle is 180.

Tags

CCSS.HSG.CO.C.10

Rewrite the statement as a conditional statement.

"All dolphins are mammals."

• If a dolphin, then a mammal.

• If an animal is a dolphin, then it is a mammal.

• If an animal is a mammal, then it is a dolphin.

• If an animal is not a mammal, then it is not a dolphin.

Tags

CCSS.3.OA.D.9

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend
  Conclusion: you give me twenty dollars
• Hypothesis: you give me twenty dollars
  Conclusion: I will be your best friend
• Hypothesis: if you have to pay for friends
  Conclusion: then you probably should reevaluate your life
• Hypothesis: you will not have to pay twenty dollars
  Conclusion: if you have lots of friends

For the converse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

For the inverse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Tags

CCSS.HSF.BF.B.4

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

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