Geometry / Mr. Hansen 6/2/2002, 5/11/2003, 5/24/2003, 5/10/2004, 5/19/2004, 5/23/2004, 5/5/2005, 5/18/2005, 5/20/2005, 5/23/2005

Name: _________________________

Review Problem Compendium (version 15)

	Instructions: This compendium of suggested review problems from Chapters 8-15 may be updated periodically during the week before the final exam. For best results, be sure to work the problems first, preferably under time pressure. Then check your answers and try to learn from your mistakes. If you have the opportunity, practice the same problems a day or two later and see if you can improve both your speed and your accuracy. Practice makes perfect!
Chapter 8	Check for Understanding on similarity and ABT
Chapter 9	§9.7 #12, 15, 17, 20 Additional problem with solution Trigonometry Problems Worksheet Quiz on Right-Triangle Trigonometry You can also ask Mr. Hansen if you can check out one of the antique NEC laptops to practice trigonometry.
Chapter 10	pp.505-509, #1, 2, 4a, 4b, 5, 7, 8, 12, 14, 17, 18, 26a, with answer key More Practice Test Problems Excellent angle-arc puzzles created by students in 2003 More angle-arc puzzles, also of excellent quality, from students in 2004
Chapter 11	pp.554-556 #1, 2, 3, 5, 8, 10, 13, 16, 17, 22, 25-28 all, 31, 35, 36, 39, 40 Carefully review the formula sheet that will be provided on the final exam, so that you know how to locate and use each area formula. It does you no good to have a formula sheet if you cannot understand what the symbols mean, or if you cannot find the formula you need. If there are any other standard formulas (e.g., circumference = pd = 2pr, or the quadratic formula) that you have not already memorized, you may wish to do so, since you will not be allowed to use any notes during the exam. Also note that minor variations on the formulas above are also possible. For example, you should be able to compute the area of an annulus (ring) to be pR^2 – pr^2, where R = outer radius and r = inner radius, but since common sense tells you that, there is little point in memorizing an additional formula.
Chapter 12	pp. 594-597 #1, 2, 4, 5, 6, 8-11 all, 13, 15, 17, 18, 20, 21, 22, with partial answer key and full solutions to most of the problems Frustrating Great Pyramid Frustum Problem Carefully review the formula sheet that will be provided on the final exam, so that you know how to locate and use each volume and surface area formula. It does you no good to have a formula sheet if you cannot understand what the symbols mean, or if you cannot find the formula you need. Note that minor variations on these formulas are possible. For example, Vhemisphere = ½ Vsphere = 2/3 · pr^3, and Vregular octahedron = 2Vsquare pyramid = 2βh/3 = 2s^2h/3. I would not waste time memorizing either of these, since it would be faster to recompute them on the spot if they ever came up in a problem.
Chapter 13	pp.644-647 (all problems), with answer key and some solutions with explanations Coordinate Geometry Worksheet (lots of great practice problems) Chapter 13 test, 5/8/2002 (blank copy for practice) Answer key to Chapter 13 test
Chapter 14	pp. 683-684 #1, 2, 4-6, 8, 9, 12, 14-17, 24, with answer key However, please note that Chapter 14 will not be covered on the final exam, except in a 3-point “locus bonus” question at the end. The reason is that not all sections covered this material.
Chapter 15	pp. 703-704 #1-3, 6-11, 13, 14, 16, 17, with answer key Chapter 14-15 test, 5/22/2002 (blank copy for practice) Answer key to 5/22/2002 test, with many explanations Chapter 14-15 test, 5/19/2003 (blank copy for practice) Solution key to 5/19/2003 test, with detailed step-by-step instructions
Proofs (general)	Practice proofs (with solutions) Proofs using Hinge Theorem and similar concepts Coordinate geometry proofs Note: Although coordinate geometry proofs are the most likely category to be featured on the exam, you should review all types of proofs, since the techniques are useful in a variety of problems.
Other questions (general)	Hard problems: pp.505-508 #1-7, 16-20, and 23, with solution key You should expect at least one problem of this type. Note that the “Half SAD” formulas and Power Theorems will not be provided on your formula sheet. Cumulative Review, pp.706-711 #1-40 all Review Problems I and II (not available on Web; available by request after you have finished the other problems)
Other exam information	The examination is from 2:00 to 4:00 p.m., Thursday, 5/26/2005, in Trapier Theater. Bring several sharpened pencils with erasers, plus a straightedge if you wish. A compass is permitted but not required. Do not bring paper or notes, since any scratch paper you bring with you will be confiscated before the test. No calculator is allowed for Mr. Hansen’s students. The planned exam format and the area/volume format sheet are available in advance to help you learn what to expect.