Deductive Reasoning

What does deductive reasoning use to form its arguments?

• patterns

• specific cases

• observed examples

• facts, definitions, accepted properties, and laws of logic

All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 

• Deductive
• Inductive

Since all humans are mortal, and I am human, then I am mortal. 

• Deductive
• Inductive

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. You will not start the game Wednesday.

• Law of Detachment

• Law of Syllogism

• Speed Limit

• None of the above

If it is Friday, then I will get paid.

It is Friday.

What is the conclusion?

• It is not Friday.

• It is Friday.

• I will not get paid.

• I will get paid.

Which of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.  
If Steve sits on the bench, then Ronald starts at center.  

• If Steve sits on the bench then Jason plays basketball.
• If Ronald starts at center then Jason plays basketball.
• If Steve sits the bench then Ronald does not start at center.
• If Jason plays basketball then Ronald starts at center.

Tags

CCSS.HSS.CP.A.1

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

If you passed the final, then you pass the class. You passed the final.

• You passed the class.

• You didn't pass the class

• Not possible

Draw a conclusion from the statement.

Given: If you are at least 25 year old, then you can rent a car.

Clay can rent a car.

Conclusion: ?

• Clay is at least 25 years old.

• Clay can rent a car.

• Clay can go on a road trip.

• No valid conclusion.

If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles.

What can you conclude?

• If a figure has 4 right angles, then it is a square.

• If a figure is a square, then it has 4 right angles.

• Nothing

• If a figure is a rectangle, then it is a square with 4 right angles.

Tags

CCSS.HSG.CO.A.1

IF Jimmy named his first child Thing 1

AND his second child Thing 2

THEN He will name his third child Thing 3

• Inductive

• Deductive

Tags

CCSS.4.OA.C.5