Conditional Statements: Converse, Inverse, Contrapositive

Which is the hypothesis of the following conditional statement?

If I have passing grades, then I have perfect attendance.

• I have passing grades

• I have perfect attendance

• I do not have passing grades

• I do not have perfect attendance

What is the converse to the following conditional statement?

If an animal is a dog, then it is a mammal.

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

• Then it is a mammal.

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

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

Tags

CCSS.HSS.CP.A.3

What is the inverse to the following conditional statement?

If it rains today, then the ground will be wet.

• If the ground is not wet, then it did not rain today.

• If it rains today, then the ground will be wet.

• If it does not rain today, then the ground will not be wet.

• If it rains today, then the ground will not be wet.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.5

What is the contrapositive to the following conditional statement?

If it rains today, then the ground will be wet.

• If the ground will be wet, then it rains today.

• If the ground is not wet, then it does not rain today.

• If it does not rain today, then it rains today.

• If it does not rain today, then the ground will not be wet.

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

• His mom will have to drive him
• If Johnny is late to school
• Johnny is late to school
• Then his mom will have to drive him

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

• if they add up to 180 degrees
• the angles are supplementary
• they add up to 180 degrees
• there is no conclusion

Tags

CCSS.7.G.B.5

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

The "q" part of the conditional statement is called the 

• hypothesis
• conclusion
• inverse
• contrapositive

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

• His mom will have to drive him
• If Johnny is late to school
• Johnny is late to school
• Then his mom will have to drive him