# Glencoe Geometry Chapter 2: Reasoning and Proof 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 yellow "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!

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Question 1
1.
Which of the following is the contrapositive of the following statement.

If a quadrilateral has four sides, then it is a square.

#### Question 2 2. A postulate is what?

#### Question 3 3. Deductive reasoning is based on what?

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Question 4
4.
p: The dog rolls over on command.

q: The dog gets a treat.

For the combination p AND q, for which truth values of p and q is the combination true?

#### Question 5 5. Which of the following connectors is the logical disjunction?

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Question 6
6.
If angle *HAD* measures 80°, what is the value of *x*?

#### Question 7 7. Suzie's pencil is 8 centimeters including the eraser at the end. The eraser is 1 centimeter. How long is the rest of the pencil?

#### Question 8 8. Which of the following is a conditional statement?

#### Question 9 9. What is a 'given' statement?

#### Question 10 10. Which one of the statements below correctly gives the Symmetric Property of Equality?

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Question 11
11.
Using the law of detachment, determine the BEST conclusion from the following two statements.

1) If the CEO wants to make a lot of money, then she will need to grow the company.

2) The CEO wants to make a lot of money.

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Question 12
12.
Rewrite the equation below using *only* the symmetric property of equality.

2x + 5 = 3x - 7

*only*the symmetric property of equality.

#### Question 13 13. _____ reasoning is essentially the polar opposite of inductive reasoning.

#### Question 14 14. What is the conclusion in the following statement? 'If p and q are odd integers, then pq is odd.'

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Question 15
15.
Which of the following is a logic proposition?

A: Sam only eats square foods

B: Once upon a time

C: Circles roll

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#### Question 16 16. What do you need to know in order to use the midpoint theorem?

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Question 17
17.
Rewrite the equation below using *only* the Symmetric Property of Equality

8x + 2 (x + 1) = 2x - 7

*only*the Symmetric Property of Equality

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Question 18
18.
Find x.

x = 8 + 2

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Question 19
19.
What is the value of *w*?

#### Question 20 20. Which property tells us that we can add and multiply numbers in any order?

### Page 5

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Question 21
21.
Find x.

x = 12 - 8

#### Question 22 22. Inductive reasoning is reasoning based on what?

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Question 23
23.
What conclusion can be reached using inductive reasoning from the following?

When the sun comes up, the rooster crows. When the rooster crows, the hen lays an egg. What happens when the sun comes up?

#### Question 24 24. What term do cognitive psychologists use to describe the process of evaluating thoughts and concepts to make judgments and decisions?

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Question 25
25.
Determine whether a valid conclusion can be reached using the law of syllogism if the two given statements are true. If so, then tell what the conclusion is.

Statement 1: If the stock car racer drives too fast into the corner, then he will lose traction.

Statement 2: If the stock car racer loses traction, then he will drive too fast into the corner.

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Question 26
26.
Which law tells you that if *x* = 7, then 7 = *x*?

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Question 27
27.
If the following two propositions are true, which is a true statement?

Theresa loves dogs.

Spot is a dog.

#### Question 28 28. What is the midpoint of this line segment?

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Question 29
29.
How many propositions are there in the statement below?

I will buy you a huge bacon cheeseburger and wash your car if and only if you give me your big screen television.

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Question 30
30.
Provide a counterexample for the statement below.

All prime numbers are odd.

#### Glencoe Geometry Chapter 2: Reasoning and Proof 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 yellow "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!