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.

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.

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

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 shining then we will go hiking.

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

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

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

If you go to the pool, you will want to return.

If you return to the pool you will enjoy yourself.

If you enjoy yourself, then you went to the pool.

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 tonite.

I study for several hours each day.

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

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.

Which is a valid conclusion from these statements? If a quadrilateral is a rhombus, then it is a parallelogram. If a quadrilateral is a parallelogram, then its opposite angles are congruent.

Opposite angles of a rhombus are congruent

Opposite angles of a quadrilateral are congruent

Every quadrilateral is a rhombus

Every parallelogram is a rhombus

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.

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.

Write the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies. If Chris goes to the movies, then Todd will go to the movies.

If Chris goes to the movies, then Sarah will go to the movies.

If Todd goes to the movies, then Chris will go to the movies.

If Sarah goes to the movies, then Chris will go to the movies.

If Chris goes to the movies, then Todd will go to the movies.

Law of Syllogism/ Detachment

Authored by Jenifer Goff

Mathematics

9th - 12th Grade

CCSS covered

Used 222+ times

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19 questions

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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

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

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

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

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

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

You live in Disney Land

You are an old person.

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.

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

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

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Law of Syllogism/ Detachment

p→qp∴qWhich law is modeled?

p→qq→r∴p→rWhich law is modeled?

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.

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 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.

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

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 score well on the exam

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

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

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

p→q
p
∴q
Which law is modeled?

p→q
q→r
∴p→r
Which law is modeled?

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.

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 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.

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

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

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

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