Deductive Reasoning Geometry

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.  Conclusion: Her roof is falling apart. 

• Deductive
• Inductive

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.11-12.1

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

• Deductive
• Inductive

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RI.7.8

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

• Newton's First Law of Motion

• 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.

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.9-10.1

CCSS.RL.7.1

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

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

Draw a conclusion from the statement.

Given: If you are 25 years old, then you can rent a car.

Clay can rent a car.

Conclusion: ?

• Clay is 25 years old.

• Clay can rent a car.

• Clay can go on a road trip.

• No valid conclusion.

Tags

CCSS.RI.8.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.11-12.1

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

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.  
If the volume of the stereo is loud, then the neighbors will complain.

• If the neighbors complain, then the stereo will be loud.
• If the stereo is on, then the neighbors will complain.
• If the stereo is volume is loud, then the stereo is on.
• If the stereo is on, then the volume is loud.