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 its square is divisible by 4

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

If 2x – 10 = –6, then x = 2

If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Conditional: If two lines do not intersect, then they are coplanar and parallel, or skew. Premise: Lines AB and CD do not intersect.

Lines AB and CD are parallel and coplanar or they are skew.

Lines AB and CD are parallel and not coplanar.

If you go to the mall, then you will spend money. You didn't spend any money today. What is the logical conclusion?

Therefore, you didn't go to the mall.

Therefore, you don't have any money.

Therefore, you went to the mall.

There is no logical conclusion.

If you don't feel well, then you stay home. You feel well. What is the logical conclusion?

There is no logical conclusion.

Therefore, you don't stay home.

Therefore, you don't feel well.

How do you feel about the Laws of Logic now?

Great! I am ready to take a test!

Ok. I need to study my notes a bit more before I test.

Not good. I need to practice more and maybe even come to Flex. But I will retake this quiz before next class.

Geo - Modus Ponens & Tollens

Authored by Michael Appel

Mathematics

9th - 10th Grade

CCSS covered

Used 229+ times

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the name of the following format of logical argument?
If A, then B.
A.
Therefore B.

Modus Ponens

Modus Tollens

Law of Syllogism

Disjunctive Syllogism

Tags

CCSS.HSS.CP.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the name of the following format of logical argument?
If A, then B.
Not A.
Therefore not B.

Modus Ponens

Modus Tollens

Law of Syllogism

Disjunctive Syllogism

Tags

CCSS.HSS.CP.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the name of the following format of logical argument?
If A, then B.
If B, then C
Therefore, if A then C.

Modus Ponens

Modus Tollens

Law of Syllogism

Disjunctive Syllogism

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

P1: If I am happy, then I smile.
P2: I am not smiling.
C: Therefore I am not happy.

Modus Ponens

Modus Tollens

Disjunctive Syllogism

Chain Argument

Constructive Dilemma

Tags

CCSS.HSS.CP.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

P1: If you go get gas, then you can drive your car.
P2: You cannot drive your car.
C: Therefore, you cannot go get gas.

Modus Ponens

Modus Tollens

Disjunctive Syllogism

Chain Argument

Constructive Dilemma

Tags

CCSS.HSS.CP.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

P1: If you're sick, then you must stay home.
P2: You're sick.
C: Therefore, you must stay home.

Modus Ponens

Modus Tollens

Disjunctive Syllogism

Chain Argument

Constructive Dilemma

Tags

CCSS.HSS.CP.B.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

P1: If Eagles are birds, then Eagles fly.
P2: Eagles are birds.
C: Therefore, eagles fly

Modus Ponens

Modus Tollens

Disjunctive Syllogism

Chain Argument

Constructive Dilemma

Tags

CCSS.HSS.CP.B.7

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Geo - Modus Ponens & Tollens

What is the name of the following format of logical argument?
If A, then B.
A.
Therefore B.

What is the name of the following format of logical argument?
If A, then B.
Not A.
Therefore not B.

What is the name of the following format of logical argument?
If A, then B.
If B, then C
Therefore, if A then C.

P1: If I am happy, then I smile.
P2: I am not smiling.
C: Therefore I am not happy.

P1: If you go get gas, then you can drive your car.
P2: You cannot drive your car.
C: Therefore, you cannot go get gas.

P1: If you're sick, then you must stay home.
P2: You're sick.
C: Therefore, you must stay home.

P1: If Eagles are birds, then Eagles fly.
P2: Eagles are birds.
C: Therefore, eagles fly

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

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.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Geo - Modus Ponens & Tollens

What is the name of the following format of logical argument?If A, then B. A. Therefore B.

What is the name of the following format of logical argument?If A, then B. Not A. Therefore not B.

What is the name of the following format of logical argument?If A, then B. If B, then CTherefore, if A then C.

P1: If I am happy, then I smile.P2: I am not smiling.C: Therefore I am not happy.

P1: If you go get gas, then you can drive your car. P2: You cannot drive your car.C: Therefore, you cannot go get gas.

P1: If you're sick, then you must stay home. P2: You're sick. C: Therefore, you must stay home.

P1: If Eagles are birds, then Eagles fly.P2: Eagles are birds.C: Therefore, eagles fly

Draw a conclusion from the statement.If you live in Orlando, then you live in Florida.You live in Orlando.

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.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the name of the following format of logical argument?
If A, then B.
A.
Therefore B.

What is the name of the following format of logical argument?
If A, then B.
Not A.
Therefore not B.

What is the name of the following format of logical argument?
If A, then B.
If B, then C
Therefore, if A then C.

P1: If I am happy, then I smile.
P2: I am not smiling.
C: Therefore I am not happy.

P1: If you go get gas, then you can drive your car.
P2: You cannot drive your car.
C: Therefore, you cannot go get gas.

P1: If you're sick, then you must stay home.
P2: You're sick.
C: Therefore, you must stay home.

P1: If Eagles are birds, then Eagles fly.
P2: Eagles are birds.
C: Therefore, eagles fly

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

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.