Logic Review

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."

• a → b

• a ⋀ b

• a → ~ b

• a ⋀ ~ b

Tags

CCSS.HSS.CP.A.1

If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "If two angles are not congruent, then the angles are not vertical angles."

• a → b

• ~a → ~b

• b → a

• ~b → ~a

Tags

CCSS.7.G.B.5

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

• television
• cell phone
• computer mouse
• keyboard

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.3

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.1

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 get an A on my test then my mom will buy me a TV.
I got a 94 on my test.
what conclusion can be made.

• I am smart.
• I got an A on my test.
• My mom will buy me a TV.
• I must have cheated.

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent. 
If all the sides of a triangle are congruent, then the angles opposite them are congruent. 
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.

• Law of Detachment
• Law of Syllogism
• Law of the Contrapositive
• Not valid

What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.

• If Tom goes fishing then he catches a fish.
• If Tom brings his pole then he goes fishing
•  If Tom catches a fish then he brought his pole.
• If Tom brings his pole then he catches a fish.

Given
 “If Jason plays basketball, then Steve sits on the bench.   If Steve sits on the bench, then Ronald starts at center.”    
 Which of the following is a valid argument?

• If Steve sits on the bench then Jason plays basketball.
• If Ronald starts at center then Jason plays basketball.
• If Steve sits the bench then Ronald does not start at center.
• If Jason plays basketball then Ronald starts at center.