Law of detachment and Law of syllogism check

Determine whether the conclusion below is true.

Given: If an animal is a dog, then they like biscuits.

Sammy is a dog.

Conclusion: Sammy likes biscuits.

• No conclusion

• This is true

• Sammy is a Great Dane

• Sammy is really a cat.

Draw a conclusion from the statements below.

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

Which law of logic is this?

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

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

Conclusion: If a figure is a rhombus, then the figure is a quadrilateral

• Law of detachment

• Law of syllogism

• None of the above

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, therefore

• look out for the snowplows while driving to school.
• the big test will not be given today.
• the roads will be hard to drive on.
• you should call the school to see if school is canceled.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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

• 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

Draw a conclusion from the statement.

If an angle is a straight angle, then the angle is not acute.

Angle ABC is not a straight angle.

Conclusion:

• The angle is not acute

• The angle is acute.

• The angle is 90 degrees

• No Conclusion

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Conclusion: I don't have to do the dishes.

• Law of Detachment

• Law of Syllogism

• None

Draw a conclusion from the statement.

If Jack goes to school, then it is Monday.

Conclusion: Jack doesn't go to school.

• Jack skipped school.

• It isn't Monday.

• It's Saturday.

• No Conclusion

If an angle is 40⁰, then it is acute.

∠A is 40⁰.

Using the Law of Detachment, what can you conclude?

• ∠A is complementary to ∠B

• ∠A is acute.

• ∠A is obtuse.

• ∠A is 40⁰

If two lines do not intersect then they are coplanar and parallel, or skew.

Lines AB and CD do not intersect.

• Lines AB and CD are parallel and not coplanar.

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

• Lines AB and CD are skew.

• No Conclusion