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# High School Geometry: Logic in Mathematics Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. What is the negation of 'Triangles are not squares'?

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Question 2
2.
Which type of logical fallacy is illustrated below?

This chocolate pie must be bad because nobody is taking it.

#### Question 3 3. Which of the following occurs with a direct proof?

#### Question 4 4. Which of the following connectors is the logical disjunction?

#### Question 5 5. All of the following statements could be proven with a direct proof EXCEPT:

### Page 2

#### Question 6 6. Which of the following connectors is the logical conjunction?

#### Question 7 7. All of the following are recommended steps when completing geometry proofs EXCEPT:

#### Question 8 8. What kind of reasoning uses two unrelated events to prove a point?

#### Question 9 9. Which of the following is a conditional statement?

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Question 10
10.
An example of which topic discussed in this lesson is shown below?

Statement 1: All quadrilaterals are parallelogramps.

Statement 2: Kite

### Page 3

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Question 11
11.
Which is a correct logical conjunction formed with the following phrases?

Drew likes roses.

Drew loves lilies.

#### Question 12 12. In a 2-column proof, what goes in the column on the left?

#### Question 13 13. Which of the following is a conditional statement?

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Question 14
14.
Write the inverse of the following statement.

If Sue sees a goat, then Sue milks the goat.

#### Question 15 15. What does the statement, 'We will go get ice cream if and only if you clean your room' mean?

### Page 4

#### Question 16 16. In a 2-column proof, what goes in the column on the right?

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Question 17
17.
If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

#### Question 18 18. What is the hypothesis in the following statement? 'If p is an even integer and q is an odd integer, then p + q is an odd integer.'

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Question 19
19.
Which type of logical fallacy is illustrated in the example below?

I will get an A in math class because I spent many sleepless nights studying.

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Question 20
20.
If he eats a hamburger, then he will eat two bags of fries.

Which of the following represents the hypothesis in the above conditional statement?

### Page 5

#### Question 21 21. What is an example of a logical fallacy?

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Question 22
22.
Which type of logical fallacy is illustrated below?

Everyone in the class agrees that if x = 2 and y = 2, then x must equal y.

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Question 23
23.
What kind of reasoning does the statement below illustrate?

My phone starts to ring whenever my cat starts to purr.

#### Question 24 24. A statement can be determined to be which of the following through a direct proof?

#### Question 25 25. Which statement is an example of circular reasoning?

### Page 6

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Question 26
26.
If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream.

Which of the following represents the conclusion in the above conditional statement?

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Question 27
27.
Provide a counterexample for the statement below.

All prime numbers are odd.

#### Question 28 28. Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the total degrees of a square?

#### Question 29 29. If someone asked you to choose between two candidates for president, but there were still five candidates running for president, what kind of logical fallacy is that?

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Question 30
30.
Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

#### High School Geometry: Logic in Mathematics Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!