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, then...

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.

Use Law of Syllogism to make a conclusion. If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.

If a number is divisible by 10, then it is even,

If a number is even, then it is divisible by 10.

If a number is divisible by 2, then it is even.

If a number is even, then it is divisible by 2.

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.

Zach will not study but will write a good application.

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

We asked John to have lunch with us.

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

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.

Law of Detachment & Law of Syllogism

Authored by Diana Guerrero

Mathematics

9th - 12th Grade

CCSS covered

Used 76+ times

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23 questions

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MULTIPLE CHOICE QUESTION

30 sec • 12 pts

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

MULTIPLE CHOICE QUESTION

30 sec • 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

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Then it's not odd.

Then it's a whole number.

Then its square is divisible by 4

Then it's even.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Invalid

Valid

Sammy is a Great Dane

Sammy is really a cat.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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 study from 6pm to 7pm tonight.

I study for several hours each day.

I will do well on the exam

If I do well on the exam, I studied for hours.

not possible

MULTIPLE CHOICE QUESTION

3 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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Law of Detachment & Law of Syllogism

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.

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

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

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

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 study from 6pm to 7pm tonight.

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

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, then...

p→q
q→r
∴p→r
Which law is modeled?

p→q
p
∴q
Which law is modeled?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Law of Detachment & Law of Syllogism

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.

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

Draw a conclusion from the statement.If a whole number is even, then its square is divisible by 4.The number I am thinking of is an even number.

Determine whether the stated conclusion is valid.Given: If an animal is a dog, then they like biscuits.Sammy is a dog.Conclusion: Sammy likes biscuits.

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

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 examStatement 2: I will study from 6pm to 7pm tonight.

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 bodyStatement 2: If you have a healthy body, then you have more energy

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, then...

p→qq→r∴p→rWhich law is modeled?

p→qp∴qWhich law is modeled?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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.

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

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

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

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 study from 6pm to 7pm tonight.

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

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, then...

p→q
q→r
∴p→r
Which law is modeled?

p→q
p
∴q
Which law is modeled?