Deductive Reasoning Geometry

1.

Multiple Choice

30 sec

1 pt

What does deductive reasoning use to form its arguments?

patterns

specific cases

observed examples

facts, definitions, accepted properties, and laws of logic

2.

Multiple Choice

20 sec

1 pt

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

Deductive

Inductive

3.

Multiple Choice

20 sec

1 pt

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

Deductive

Inductive

4.

Multiple Choice

30 sec

1 pt

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

5.

Multiple Choice

30 sec

1 pt

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.

6.

Multiple Choice

30 sec

1 pt

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

7.

Multiple Choice

45 sec

1 pt

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.

8.

Multiple Choice

30 sec

1 pt

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.

9.

Multiple Choice

20 sec

1 pt

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

10.

Multiple Choice

45 sec

1 pt

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.

11.

Multiple Choice

30 sec

1 pt

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 went to the movies with your friend.

Your parents let you borrow the car.

Your parents didn't let you borrow the car.

No valid conclusion.

12.

Multiple Choice

30 sec

1 pt

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.

No Valid Conclusion.

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

13.

Multiple Choice

45 sec

1 pt

What conclusion can be drawn from the following statements?

If Todd goes to the movies, then Sarah will go to the movies.

If Chris goes to the movies, then Todd will go to the movies.

If Chris goes to the movies, then Sarah will go to the movies.

If Todd goes to the movies, then Chris will go to the movies.

If Sarah goes to the movies, then Chris will go to the movies.

If Todd goes to the movies, then Todd will go to the movies.

14.

Multiple Choice

30 sec

1 pt

If an angle measures 40⁰, then the angle is acute.
$m\angle A=40$
What is the logical conclusion?

∠A is complementary to ∠B

∠A is acute.

∠A is obtuse.

∠A is 40⁰

15.

Multiple Choice

30 sec

1 pt

Draw a conclusion from the statement.

If Jack goes to school, then it is Monday.

Jack doesn't go to school.

Jack skipped school.

It isn't Monday.

It's Saturday.

No valid conclusion.

16.

Multiple Choice

45 sec

1 pt

What can be concluded from the following statements?

If Mike rakes leaves, then he bags them.

If Mike bags the leaves, then he mows the lawn.

If Mike mows the lawn, then he bags the leaves.

If Mike bags the leaves, then he rakes.

If Mike does not mow the lawn, then he did not rake the leaves.

If Mike bags the leaves, then he mows the lawn.

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