# AFOQT: Principles of Geometry Chapter Exam

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### Page 1

#### Question 1 1. What is the basis for all of Euclid's geometry?

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Question 2
2.
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 3 3. Which of the following is not one of the five axioms?

#### Question 4 4. Geometry is the study of what?

#### Question 5 5. Which of the following is the correct symbol for a line?

### Page 2

#### Question 6 6. What is geometry about?

#### Question 7 7. Both Thales and Pythagoras are what?

#### Question 8 8. Whose system of definition and proofs do we still use today?

#### Question 9 9. What part of the pyramid was Thales able to calculate?

#### Question 10 10. How many basic truths did Euclid establish as the basis for geometry?

### Page 3

#### Question 11 11. What did Euclid say about circles?

#### Question 12 12. In geometry, which form of reasoning is relied more on for correct conclusions?

#### Question 13 13. Which type of reasoning gives you hypotheses?

#### Question 14 14. Which shape is used to draw a plane on paper in geometry?

#### Question 15 15. Euclid wrote which textbook?

### Page 4

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Question 16
16.
Which law is shown by the following?

x = x

#### Question 17 17. Deductive reasoning is based on what?

#### Question 18 18. Which of the following is not an undefined term in geometry?

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Question 19
19.
Which law tells you that if *x* = 7, then 7 = *x*?

#### Question 20 20. Which of the following is the correct way of writing a point?

### Page 5

#### Question 21 21. Who invented the Cartesian coordinate system?

#### Question 22 22. Which of the following is the correct notation for a set?

#### Question 23 23. Which property tells us that we can add and multiply numbers in any order?

#### Question 24 24. Which of the following is the commutative law?

#### Question 25 25. Inductive reasoning is reasoning based on what?

### Page 6

#### Question 26 26. Which of the following is the Pythagorean Theorem?

#### Question 27 27. Who invented the theorem that says the square of the hypotenuse equals the sum of the squares of the other two sides?

#### Question 28 28. Which of the following is Thales' Theorem?

#### Question 29 29. If 4 = y and y = z, what does z equal?

#### Question 30 30. The earliest written record of geometry dates back to when?

#### AFOQT: Principles of Geometry 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!