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.

What are the two parts of a conditional statement?

• Hypothesis

• Conclusion

• Converse

• Inverse

What is the negation of "x > 3"?

• $x=3$

• $x\le3$

• $x<3$

Tags

CCSS.HSA.REI.B.3

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.BF.B.4

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.\$  

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

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.