Answers to Practice Exam One
Here are answers to the practice exam I gave you on the last day of class. Let me know if you think I made a mistake–I’m human, after all!
1. 3 2. 2 3. 2 4. 1 5. 2 6. 2 7. 4
8. 4 9. 1 10. 3 11. 3 12. 1 13. 4 14. 3
15. 3 16. 2 17. 4 18. 2 19. 2 20. 1 21. 2
22. 2 23. 4 24. 3 25. 2 26. 3 27. 4 28. 3
Now for the free-response questions:
29. (x + 2)↑2 + (y – 4)↑2 = 2.25
30. perimeter = 100
31. perimeter = 30
32. 3 √2
33. 12
34. (1, 0)
35. y = -x + 1
36. 36
37. 27 π
38. For this proof, show that triangles PAL and REG are similar (they are congruent, actually), then state that corresponding sides of similar triangles are proportional, then cross-multiply to convert the proportion into the given multiplication.
You probably noticed that I had to fudge a couple of the mathematical figures, due to the limitations of this weblog (and my limitations in figuring out how to overcome them!)
Other notes and comments:
- The proof that you will have to do for your exam is, I think, easier than the one shown here.
- This practice test did not include andy coordinate geometry proofs, which you need to be able to do.
- You also need to know how to find the area of a regular polygon.
- You must be able to do constructions using compass and straightedge. Refer to the packet I gave you in class last week.
- If I remember correctly, much of the class struggled with the angles in circles. Might I politely suggest that would be a topic worth reviewing?
As demonstrated in this practice exam, knowledge of 30-60-90 triangles and 45-45-90 triangles and the ratio of their sides is beneficial, as is the Pythagorean Theorem. This practice exam did not test any trig. We probably will.
Review Session: Monday a.m. from 9 until about 11:30. You do not have to be there the entire time, but you will need a pass to get in.
Exam: Monday afternoon at 12:45 in the gym. Be there or be a quadrilateral that is both a rhombus and a rectangle!
