FTCE Mathematics 6-12 (026): Practice & Study Guide  /  Math Courses

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FTCE Math: Foundations of Geometry Chapter Exam

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!

Page 1

Question 1 1. All of the following are recommended steps when completing geometry proofs EXCEPT:

Question 2 2. The intersection of two planes looks like what?

Question 3 3. If 4 = y and y = z, what does z equal?

Question 4 4. Axioms are what?

Question 5 5. What were Archimedes' contributions to geometry?

Page 2

Question 6 6. Euclid wrote which textbook?

Question 7 7. What did Descartes' development of analytic geometry do?

Question 8 8. In a 2-column proof, what goes in the column on the left?

Question 9 9. How many basic truths did Euclid establish as the basis for geometry?

Question 10 10. An axiomatic system is a set of what?

Page 3

Question 11 11. Inductive reasoning is reasoning based on what?

Question 12 12. Which shape is used to draw a plane on paper in geometry?

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

Question 14 14.

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 15 15. At least how many points are needed to make a plane?

Page 4

Question 16 16. Which of the following is the correct symbol for a line?

Question 17 17. What is another name for Euclidean Geometry?

Question 18 18. Which of the following is not one of the five axioms?

Question 19 19. In what work did Euclid lay out the foundations of Euclidean Geometry?

Question 20 20. Which of the following is the commutative law?

Page 5

Question 21 21. Any line can also be what?

Question 22 22. Which of the following is not an undefined term in geometry?

Question 23 23. In a 2-column proof, what goes in the column on the right?

Question 24 24.

Which law is shown by the following?

x = x

Question 25 25. Which property tells us that we can add and multiply numbers in any order?

Page 6

Question 26 26. If an axiom can be proved by the other axioms in a system, then the axiom is what?

Question 27 27. All of the following are used in geometric proofs EXCEPT:

Question 28 28. What did Euclid say about circles?

Question 29 29. What is a 'given' statement?

Question 30 30. In geometry, which form of reasoning is relied more on for correct conclusions?

FTCE Math: Foundations 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!

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