Logic and Reasoning Quiz Review

Original conditional: If it is Wednesday, then it is cloudy.

New statement: If it is not cloudy, then it is not

Wednesday.

What type of statement of the new statement?

• Converse

• Inverse

• Contrapositive

• Biconditional

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Original conditional: If it is Wednesday,

then it is cloudy.

New statement: If it is not Wednesday,

then it is not cloudy.

What is the best description of the new

statement?

• Converse

• Inverse

• Contrapositive

• Biconditional

Original statement: All students have a lunch

period in their schedule.

What is the converse?

• If you have a lunch period in your schedule, then you are a student

• If you are a student, then you have lunch in your schedule

• If you do not have lunch, then you are not a student

• You are a student have lunch if and only if you have lunch in your schedule

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given: Students at CHS work hard at

academics. Lisa is a student at CHS.

Conclusion: Lisa works hard at academics.

What Law was used to determine the

conclusion?

• Deductive

• Inductive

• Detachment

• Syllogism

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Given: If it is sunny, then I will get a

sunburn.

If I wear a coat, then I will not get a

sunburn.

Conclusion: If it is sunny, then I will not

wear a coat.

What Law was used to determine the

conclusion?

• Deductive

• Inductive

• Detachment

• Syllogism

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Mr. McCord ate pizza for dinner on

Monday,Tuesday and Wednesday. His poor wife concludes that they will eat pizza for dinner again on Thursday. What type of reasoning did she use?

• Deductive

• Inductive

• Detachment

• Syllogism

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

If you work at a job, then you get paid.

If you can't pay your bills, then you didn't get paid.

Use the law of syllogism to make a conclusion, if possible

• If you work at a job, then you pay your bills

• If you work at a job, then you didn't get paid

• If you work at a job, then you get paid

• Invalid

If a students wins this quizizz, then they get to brag. Carol wins this quizizz.

Use the law of detachment to make a conclusion.

• Carol wins the quizizz

• Carol will get a good grade

• Carol gets to brag

• Invalid

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Write the biconditional to the conditional given:

If two angles are complementary, then they sum to 90

• Two angles are complementary if and only if they sum to 90

• If two angles sum to 90, then they are complementary

• If two angles do not sum to 90, then they are not complementary

• If the angles are not complementary, then they do not sum to 90

If two lines are congruent, then they have the same length.

DG and UV do not have the same length.

What can you conclude using the law of detachment?

• If two lines are congruent, then DG and UV do not have the same length

• DG and UV are congruent

• DG and UV are not congruent

• Invalid