Converse, Inverse, Contrapositive

Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.
What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.

• ∴~p
• ∴~q
• ~p
• ~q

Tags

CCSS.HSS.CP.A.1

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. 

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

What is the converse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

Tags

CCSS.RL.11-12.9

CCSS.RL.2.1

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.9-10.3

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

• You have more energy
• If you exercise regularly, then you have more energy
• You have a healthy body
• If you do not have a healthy body, then you do not exercise regularly

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Tags

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.4.2D

CCSS.W.7.2D

CCSS.W.8.2D

For the inverse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

For the converse we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A