Logic and Venn Diagrams

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

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.

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.

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.

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

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

This symbol, ∧, means?

• and
• or 
• not 
• implies

Tags

CCSS.HSS.CP.A.1

This symbol, ∨, means?

• and
• or
• not
• implies

Tags

CCSS.HSS.CP.A.1