2.4 Deductive reasoning

Using the statements make a conclusion if possible.

If it is Friday, then I will get paid.

It is Friday.

• It is not Friday

• It is Friday

• I will not get paid

• I will get paid

• No conclusion can be made

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which law of logic is illustrated by these statements?

If you miss practice the day before a game, then you will not be a starting player in the game.

You miss practice on Tuesday.

Conclusion: You will not start the game Wednesday.

• Law of Detachment

• Law of Syllogism

• Speed Limit

• None of the above

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
• Sammy is a Great Dane
• Sammy is really a cat.

Draw a conclusion from the statement if possible.

If you go fishing, then you will need to bring your fishing rod.

You go fishing.

• You will need to bring your fishing rod.

• Invalid

• You are a boring person.

• You are going to catch a fish.

• No conclusion can be made.

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Using the Law of Syllogism, which of the following completes the statement in blue 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...

• 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.

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 quadrilateral are congruent
• Opposite angles of a rhombus are congruent
• Every quadrilateral is a rhombus
• Every parallelogram is a rhombus

Tags

CCSS.HSG.CO.C.11

If an angle is 40⁰, then it is acute.

∠A is 40⁰.

Using the Law of Detachment, what is the conclusion?

• ∠A is complementary to ∠B

• ∠A is acute.

• ∠A is obtuse.

• ∠A is 40⁰

• No conclusion can be made.

Use the Law of Detachment to determine what you can conclude from the given information, if possible.

If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.

• Your parents let you borrow the car.

• Your parents didn't let you borrow the car.

• Not possible

Tags

CCSS.HSS.CP.A.5