Conditional Statements

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

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.\$  

Write the inverse 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.\$  

Tags

CCSS.HSF.IF.A.2

Write the contrapositive 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.\$  

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

• If a figure is not a triangle, then the angles do not add to 180.

• If the angles of a figure do not add to 180, then it is not a triangle.

• If a figure has angles that add to 180, then it is a triangle.

Tags

CCSS.HSG.CO.C.10

Write the contrapositive of the following statement.

"If a figure is a triangle, then the angles add to 180.

• If a figure is not a triangle, then the angles do not add to 180.

• If the angles of a figure do not add to 180, then it is not a triangle.

• If a figure has angles that add to 180, then it is a triangle.

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

Write the inverse of the following statement.

"If a figure is a triangle, then the angles add to 180.

• If a figure is not a triangle, then the angles do not add to 180.

• If the angles of a figure do not add to 180, then it is not a triangle.

• If a figure has angles that add to 180, then it is a triangle.

Tags

CCSS.HSG.CO.C.10

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