Please circle your teacher’s name:   Mr. Andreoli      Mr. Hansen      Mr. Licha

Name: _____________________________ 5/26/2005

Geometry Final Examination

READ INSTRUCTIONS QUIETLY UNTIL EXAM BEGINS.

¨	Diagrams are not necessarily to scale.
¨	Do not make any disturbance after the exam begins. If you raise your hand and keep on working quietly, someone will come to your seat in a minute. Your teacher may clarify the wording but cannot give hints.
¨	Formula Sheet		Most of the area and volume formulas you will need are listed. However, if you use a formula in Part III, you must state it clearly before using it.
¨	Part I (12%)		Always, Sometimes, Never: 6 problems, 2 pts. each. A sketch or short explanation can earn partial credit even if your answer is wrong. If your answer is correct, work is optional.
¨	Part II (40%)		Multiple Choice: 20 problems, 2 pts. each. No partial credit. In this section, your work is not graded. If more than one answer seems correct, choose the best answer. Take time to rule out all of the other answers. There is no penalty for wrong guesses, but guess only if necessary. This is the most heavily weighted section of the exam. Do not rush through it!
¨ (¨)	Part III (36%)		Free Response (12 problems, 3 pts. each). Show work for credit. Unclear, incomplete, or confusing work will not earn full credit, even if your answer is correct. Circle your answer. Unless otherwise stated in the problem, leave answer in simple radical form or a simplified form involving p. Include units (feet, cm^2, pounds, etc.) where appropriate. Show as much of your knowledge as you can, even if all you can do is describe how you wish you could solve the problem. For example, if you know that the answer is the complement of some hard-to-compute angle, you could label the missing ingredient on your diagram as Ð1 and write your answer as “90 – mÐ1” for partial credit. Or, if you know that the problem uses the Pythagorean Theorem, then write “Pythag. Thm.” for partial credit. Mr. Hansen’s classes only: Since you may not use a calculator, you are allowed more flexibility. For example, an answer format such as [(12 · 28)/11 + p^2(3/13)] ft^2 is acceptable.
¨	Part IV (12%)		Coordinate Geometry Proof. In a coordinate geometry proof, you begin by placing x and y axes on your diagram. You then mark the coordinates of the points of interest as variables, not as numbers, and you use algebra to prove whatever it is you are trying to prove. The instructions for this problem will guide you on how to get started.
¨	Bonus (3%)	You should attempt the bonus problem only after finishing the rest of the exam. Anyone is welcome to try this question, and future honors mathematics students are expected to try.
¨	Scratch	The last few pages are for extra space. If you run out of room in the main part of the exam, write “CONTD. ON PAGE ___” in large letters. Otherwise, the scratch area will be ignored.
¨	Write your initials here ____ (1 pt.) after reading this page. Do not begin the exam until told to do so.