Logic Review

Write the converse of the statement:
If an animal is a dog then it does not moo.  

• If an animal is not a dog then it does moo
• If an animal can moo then it is not a dog
• If an animal does not  moo then it is a dog
• An animal is a dog if and only if it can moo

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Original Statement: 
      If I am hungry then I will eat a whole pizza.
New Statement:
     If I am not hungry then I will eat a whole pizza.

• Converse
• Inverse
• Contrapositive
• None of the above

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Write a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

• television
• cellular phone
• computer mouse
• keyboard

Using the statement:
If it is Friday then I will get paid.
Write the conclusion

• If it is Friday
• it is Friday
• then I will get paid
• I will get paid

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.

• If your insurance rates do not go up , then you have not maid a claim.
• If you do not make an insurance claim, then your rates will not go up.
• If your insurance rates go up, then you have made an insurance claim.
• If you make an insurance claim, then your rates will not go up.

Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.

• If a person is not a musician, then the person is not a banjo player.
• If a person is not a banjo player, then the person is a musician.
• If a person is not a banjo player, then the person is not a musician.
• If a person is a musician, then the person is a banjo player.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.

• Therefore, the polygon is a rectangle.
• Therefore, the polygon is a regular quadrilateral.
• Therefore, the polygon has exactly five congruent angles.
• Therefore, the polygon has congruent sides.

Tags

CCSS.HSG.CO.C.11

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore

• look out for the snowplows while driving to school.
• the big test will not be given today.
• the roads will be hard to drive on.
• you should call the school to see if school is canceled.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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