LAW OF SYLLOGISM

If a figure is a rhombus, then the figure is a parallelogram.

If a figure is a parallelogram, then the figure is a quadrilateral.

• If a figure is a rhombus, then the figure is a quadrilateral.

• If a figure is a quadrilateral, then the figure is a rhombus.

• Not possible

Tags

CCSS.HSG.CO.C.11

If a whole number ends in 0, then it is divisible by 10.

If a whole number is divisible by 10, then it is divisible by 5.

• If a whole number is divisible by 10, then it ends in 0.

• If a whole number ends in 0, then it is divisible by 5.

• Not possible

If it continue to rain, then the track and field oval will become wet and slippery.

If the track and field oval will become wet and slippery, then the track and field game will be cancelled.

• If it continue to rain, then the track and field game will be cancelled.

• If he track and field game will be cancelled., then it continue to rain.

• Not possible

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

If you are resting, then you will be relaxed.

If your heartbeat is normal, then you are relaxed.

• If you are resting, then your heartbeat is normal.

• If your heartbeat is normal, then you are resting.

• Not possible

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

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

Statement 1: If the sun is shining, it is a beautiful day.

Statement 2: If it is a beautiful day, 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 the sun is shining then we will go hiking.

• No conclusion can be made.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Statement 1: If you go to the swimming pool, then you enjoy yourself.

Statement 2: If you enjoy yourself, then 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.

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

• No conclusion can be made.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Statement 1: If it is snowing heavily, then school will be canceled.

Statement 2: If school is canceled, the big test will not be given today.

Statement 3: It is snowing heavily, therefore

• 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.

• the big test will not be given today.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

If a river is more than 4000 miles long, then it is longer than the Amazon.

If a river is longer than the Amazon, then it is the longest river in the world.

The Nile is 4132 miles long.

• The Nile is the longest river in the world.

• The Nile is more than 4000 miles long.

• Not possible

Tags

CCSS.HSA.SSE.A.1

p→q

q→r

∴p→r

Which law is modeled?

• Law of Syllogism

• Law of Contrapositive

• Law of Detachment

• Law of Shannon