Laws of Detachment and Syllogism

Laws of Detachment and Syllogism

10th - 12th Grade

20 Qs

quiz-placeholder

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Laws of Detachment and Syllogism

Laws of Detachment and Syllogism

Assessment

Quiz

Mathematics

10th - 12th Grade

Medium

CCSS
L.2.1F, RL.11-12.1, HSG.CO.A.1

+10

Standards-aligned

Created by

Corbin Marshall

Used 386+ times

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

You are at least 25 years old
You can rent a car
You can go on a road trip
Invalid

Tags

CCSS.HSA.SSE.A.1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which law of logic is this:
If my mom stays home, then she won't buy shoes.
If she doesn't buy shoes, then she'll wear an old pair. 
Therefore if my mom stays home, then she will wear an old pair of shoes.

Contrapositive
Converse
Detachmant
Syllogism

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

p→q
q→r
∴p→r
Which law is modeled?

Law of Syllogism
Law of Detachment
Law of Contrapositive
Law of Shannon

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

p→q
p
∴q
Which law is modeled?

Law of Syllogism
Law of Detachment
Law of Contrapositive
Law of Shannon

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

You will need to bring your fishing rod.
Invalid
You are a boring person.
You are going to catch a fish.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

You have more energy
If you exercise regularly, then you have more energy
You have a healthy body
If you do not have a healthy body, then you do not exercise regularly

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