Deductive Reasoning

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.

• It is not Friday
• It is Friday
• I will not get paid
• I will get paid

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is 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

Write a counterexample for the following statement:
If Melissa lives in Virginia, then she lives in Richmond.

• She lives in VA
• She lives in Chesapeake
• She lives in Pittsburgh
• None of the above

What does this symbol ∧ mean?

• and
• or 
• not 
• implies

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.

What does this symbol ↔ mean?

• and
• or 
• if and only if
• implies

Tags

CCSS.HSS.CP.A.1

What does this symbol ∨ mean?

• and
• or
• not
• implies

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, then...

• 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.

Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.

• Opposite angles of a quadrilateral are congruent
• Opposite angles of a rhombus are congruent
• Every quadrilateral is a rhombus
• Every parallelogram is a rhombus

Tags

CCSS.HSG.CO.C.11