(1) If a figure is a square, then it is a polygon. (2) Figure A is a polygon. (3) ??????? What belongs in line 3?

invalid; nothing belongs in line 3

Use Law of Syllogism to make a conclusion. If the perimeter of a square is 20 ft, then the length of a side is 5 ft. If the length of a side of a square is 5 ft, then the area is 25 ft 2 .

If the perimeter of a square is 20 ft, then the area is 25 ft 2

If the side of a square is 5 ft, then the perimeter is 20 ft.

If the area of a square is 25 ft 2 , then the side length is 5 ft.

If the are of a square is 25 ft 2 , then the perimeter is 20 ft.

What is the conclusion made using syllogism: If it rains on my bike, then it will get rusty. If it gets rusty, then I can't ride it anymore.

If it rains on my bike, then I can't ride it anymore.

If it rains on my bike, then I can ride it.

If it gets rusty, then I can't ride it.

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

If you exercise regularly, then you have more energy

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

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If I study for one hour each day, then I will score well on the exam Statement 2: I will score well on the exam

I do not study for 1 hour each day

If I do well on the exam, I studied for 1 hour each day.

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If x = 2, then 2x – 10 = –6. Statement 2: x = 2

If 2x – 10 = –6, then x = 2

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

If I have a dog, then I have a Siberian Husky.

If I do not have a Siberian Husky, then I do not have a dog.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."

No counterexample, this is true.

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, therefore

the big test will not be given today.

look out for the snowplows while driving to school.

the roads will be hard to drive on.

you should call the school to see if school is canceled.

Determine whether the stated conclusion is valid. Given : If the sum of the measures of two angles is 180, then the angles are supplementary. ∠A and ∠B are supplementary. Conclusion: The sum of the measure of two angles is 180

The sum of the measures of two angles is 180

∠A and ∠B are supplementary.

Determine whether the stated conclusion is valid. Given : If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS. Conclusion : QR=RS

A point is the midpoint of a segment.

Laws of Logic

Authored by Brendan Reilly

Mathematics

8th - 12th Grade

CCSS covered

Used 28+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

30 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

p→q
q→r
∴p→r
Which law is modeled?

Law of Syllogism

Law of Detachment

Law of Contrapositive

Law of Shannon

MULTIPLE CHOICE QUESTION

1 min • 1 pt

p→q
p
∴q
Which law is modeled?

Law of Syllogism

Law of Detachment

Law of Contrapositive

Law of Shannon

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(1) If you have a can opener, you can open a can.
(2) Jon has a can opener.
(3) John can open a can.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Law of Syllogism

Law of Detachment

Law of Syllogism

invalid

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a mineral is gypsum, it has a hardness of 2.
If a mineral has a hardness of 2, it can be scratched with a fingernail.
Using the Law of Syllogism, what logically comes next?

If a mineral can be scratched with a fingernail, then it is gypsum.

If a mineral is gypsum, it can be scratched with a fingernail.

If a mineral has a hardness of 2, then it can't be scratched with anything.

It can be scratched with a fingernail.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(1) If it is a rabbit, then it has long ears.
(2) Peter Cottontail has long ears.
(3) Peter Cottontail is a rabbit.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Law of Syllogism

Law of Detachment

Law of Contrapositive

invalid

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

Law of Detachment

Law of Syllogism

Law of Contrapositive

invalid

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

25 questions

MATEMATIK TAMBAHAN TINGKATAN 4 (1)

Quiz

•

10th Grade

25 questions

Prueba Diagnóstica de Matemáticas

Quiz

•

11th Grade

25 questions

జాతీయ సైన్స్ దినోత్సవం

Quiz

•

8th Grade

25 questions

Repaso No.1 del 3er trimestre 8vo

Quiz

•

8th Grade

25 questions

Pretest - Aljabar & SPLSV

Quiz

•

8th Grade

25 questions

Statistics 4

Quiz

•

8th Grade

25 questions

PENILAIAN AKHIR SEMESTER GANJIL T.P 2024/2025

Quiz

•

9th Grade

25 questions

Skills Practice - Solving Linear Equations

Quiz

•

8th Grade

Popular Resources on Wayground

20 questions

"What is the question asking??" Grades 3-5

Quiz

•

1st - 5th Grade

20 questions

“What is the question asking??” Grades 6-8

Quiz

•

6th - 8th Grade

10 questions

Fire Safety Quiz

Quiz

•

12th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

34 questions

STAAR Review 6th - 8th grade Reading Part 1

Quiz

•

6th - 8th Grade

20 questions

“What is the question asking??” English I-II

Quiz

•

9th - 12th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

47 questions

8th Grade Reading STAAR Ultimate Review!

Quiz

•

8th Grade

Discover more resources for Mathematics

15 questions

Pythagorean Theorem Word Problems Quizizz

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

20 questions

Pythagorean Theorem Review

Quiz

•

8th Grade

46 questions

Linear and Exponential Function Key Features

Quiz

•

9th Grade

18 questions

CHS PSAT Prep

Quiz

•

9th Grade

21 questions

Factoring Trinomials (a=1)

Quiz

•

9th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

Laws of Logic

p→q
q→r
∴p→r
Which law is modeled?

p→q
p
∴q
Which law is modeled?

(1) If you have a can opener, you can open a can.
(2) Jon has a can opener.
(3) John can open a can.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

If a mineral is gypsum, it has a hardness of 2.
If a mineral has a hardness of 2, it can be scratched with a fingernail.
Using the Law of Syllogism, what logically comes next?

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

(1) If it is a rabbit, then it has long ears.
(2) Peter Cottontail has long ears.
(3) Peter Cottontail is a rabbit.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

Use Law of Syllogism to make a conclusion.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft².

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Laws of Logic

p→qq→r∴p→rWhich law is modeled?

p→qp∴qWhich law is modeled?

(1) If you have a can opener, you can open a can.(2) Jon has a can opener.(3) John can open a can.Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

If a mineral is gypsum, it has a hardness of 2.If a mineral has a hardness of 2, it can be scratched with a fingernail.Using the Law of Syllogism, what logically comes next?

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

(1) If it is a rabbit, then it has long ears.(2) Peter Cottontail has long ears.(3) Peter Cottontail is a rabbit.Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

(1) If you drive safely, then the life you save may be your own.(2) AJ drives safely.(3) The life AJ saves may be his own.Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

(1) If a figure is a square, then it is a polygon.(2) Figure A is a polygon.(3) ???????What belongs in line 3?

Using the Law of Detachment, what can you conclude?If you earn more than $14, then you can buy a new CD.You earn $15.

Use Law of Syllogism to make a conclusion.If the perimeter of a square is 20 ft, then the length of a side is 5 ft.If the length of a side of a square is 5 ft, then the area is 25 ft2.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

p→q
q→r
∴p→r
Which law is modeled?

p→q
p
∴q
Which law is modeled?

(1) If you have a can opener, you can open a can.
(2) Jon has a can opener.
(3) John can open a can.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

If a mineral is gypsum, it has a hardness of 2.
If a mineral has a hardness of 2, it can be scratched with a fingernail.
Using the Law of Syllogism, what logically comes next?

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

(1) If it is a rabbit, then it has long ears.
(2) Peter Cottontail has long ears.
(3) Peter Cottontail is a rabbit.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3) The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

Use Law of Syllogism to make a conclusion.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft².