law of syllogism and detachment

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

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

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.

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

Tags

CCSS.3.OA.D.9

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.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

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.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A