Review of Unit 2 Reasoning and Proofs Part 1

If a student wants to go to university, then the student must study hard and write a good application. Zach wants to go to Caltech.

• Zach must study hard and write a good application.

• No Conclusion can be made.

• Zach will not study but will write a good application.

• Zach got accepted to Caltech.

If we see John on Monday, then we can ask him over for lunch. We see John on Monday.

• John may eat with us.

• John saw us on Monday

• No conclusion can be made since the hypothesis did not occur.

• We asked John to have lunch with us.

Tags

CCSS.HSS.CP.A.3

If two planes intersect, then their intersection is a line. If two planes are not parallel, then they intersect.

• No Conclusion can be made.

• If two planes intersect they are not parallel.

• If two planes are parallel, then they do not intersect.

• If two planes are not parallel, then their intersection is a iine.

Tags

CCSS.HSG.CO.A.1

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

• If the sun is not shining, we will not go hiking.

• If the sun is shining then we will go hiking.

• No conclusion can be made.

• If we go hiking, then it is a beautiful day.

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B
• ∠A is acute.
• ∠A is obtuse.
• ∠A is 40⁰

Tags

CCSS.HSG.CO.A.1

If the binding of the book is broken, then the student will have to pay for a new one. Michael has to pay for a new book, so he concludes the binding on his book is broken. Is he correct?

• Yes
• No

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.8.8

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

• Jack skipped school.
• It isn't Monday.
• It's Saturday.
• Invalid

Tags

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

The Giants have lost their last seven games. Thus, they will probably lose their next game.

What type of reasoning was used?

• Inductive

• Deductive

Tags

CCSS.L.1.1D

CCSS.L.3.1A

All students go to school. You are a student. Therefore you go to school.

What type of reasoning was used?

• Inductive

• Deductive

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.1.1J

CCSS.L.K.1D