Law of Detachment/ Syllogism

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Use the Law of Detachment (if possible) to draw a conclusion from the following statements:

Statement 1: If you live in Orlando, then you live in Florida.

Statement 2: You live in Orlando.

• You live in Disney Land.

• You are an old person.

• You live in Florida.

• No conclusion.

Use the Law of Detachment (if possible) to draw a conclusion from the statements:

Statement 1: If a whole number is even, then its square is divisible by 4.

Statement 2: 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.

• No conclusion.

Use the Law of Detachment (if possible) to draw a conclusion from the following statements:

Statement 1: If you are a boss DJ, then you have two turntables and a microphone.

Statement 2: You have two turntables and a microphone.

• You are a boss DJ.

• You are a mediocre DJ.

• You are Beck.

• No conclusion.

Use the Law of Detachment (if possible) to draw a conclusion from the following statements:

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 study for one hour each day.

• I do not study for one hour each day.

• If I do well on the exam, I studied for one hour each day.

• No conclusion.

Determine whether the stated conclusion is valid.

Given: If the sum of the measures of two angles is 180, then the angles are supplementary.

∠A and ∠B are supplementary.

Conclusion: The sum of the measure of two angles is 180

• Valid

• Invalid

Tags

CCSS.7.G.B.5

Determine whether the stated conclusion is valid.

Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.

R is the midpoint of QS.

Conclusion: QR=RS

• Valid

• Invalid

Tags

CCSS.HSG.SRT.B.4

Use the Law of Syllogism to draw a conclusion from the following statements:

Statement 1: If I had a million dollars, then I would buy you a house.

Statement 2: If I buy you a house, then I would buy you furniture for your house.

• If I had a million dollars, then I would buy you furniture for your house.

• If I buy you furniture for your house, then I had a million dollars.

• Maybe I would buy a nice ottoman for your house.

• If I buy furniture for your house, then I would buy you a house.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Use the Law of Detachment (if possible) to draw a conclusion from the following statements.

Statement 1: If x = −3, then x² = 9.

Statement 2: x² = 9.

• x = −3.

• x = 3.

• x = 9.

• No conclusion.

Use the Law of Syllogism to draw a conclusion from the following statements. HINT: Statement 1 needs to be written in "if-then" form first.

Statement 1: You will get better sleep if you exercise regularly.

Statement 2: If you get better sleep, then you will have more energy.

• If you get better sleep, then you exercise regularly.

• If you exercise regularly, then you have more energy.

• If you have more energy, then you exercise regularly.

• If you have more energy, then you get better sleep.