Geometry / Ms. Dunn, Mr. Kelley, Mr. Hansen January 2009

Name: _________________________

Midterm Examination

Please read instructions carefully. Points may be deducted for unnecessary disruptions during the exam, including for questions that are already addressed in these instructions.

Part I: Always/Sometimes/Never with Explanation (6 questions, 3 pts. each, 18% of exam)

• In each problem, answer with a capital A if the proposed statement is always true, S for sometimes, N for never. This answer is worth 1 point. The other 2 points are based on the justification that you provide. A diagram may suffice in some cases.
• Remember, A means that the statement could use a mini-proof, like a theorem. N means that the statement could use a mini-proof of falsehood (or a proof by contradiction to show that the conclusion is impossible). S means that you should be able to furnish both an example and a counterexample. You do not need to furnish rigorous two-column proofs. For example, if the question was, “An isosceles trapezoid has unequal diagonals,” you could answer N with the explanation, “Property of isosc. trapezoids: diags. are @.”
• Standard abbreviations are permitted in this section and throughout the exam.

Part II: Multiple Choice (20 questions, 2 pts. each, 40% of exam)

• Choose the best answer in each case. There is no penalty for guessing.
• Print the capital letter of the best answer in the small blank provided. Points may be deducted if you use lowercase letters or mark the answers in some other manner.
• In Part II, there is no partial credit, and scratch work will be ignored. You can use the margins, the back sides, or the last sheet of your exam for scratch work.

Part III: Problems (5 questions, 4 pts. each, 20% of exam)

• Show adequate work. Answers without work may not earn full credit and in some cases may not earn any credit at all.
• Write legibly. Illegible or cryptic work will not qualify for credit.
• Circle your final answer and include units (feet, meters, etc.) if appropriate.
• If you are unable to perform arithmetic without a calculator, you may leave your answer in an unsimplified state. For example, is an acceptable format.
• Do not waste time erasing large sections. If you wish for a section to be ignored during grading, simply mark it through with a single large “X” and proceed. Please also note that a “rough scratch work” sheet is provided for your convenience at the back of your exam packet. Any scratch work there will be ignored.
• If you need more room, write “OVER” and continue on the reverse side.

Part IV: Two-Column Proofs (2 questions, 10 + 12 pts., 22% of exam)

• These proofs are of medium difficulty. Therefore, it is expected that you will complete both of them.
• Although diagrams, “Given” statements, and “Prove” statements are already provided, you must restate the givens in your two-column proofs in order to earn full credit.
• Step numbering is required for both the statements and the reasons. If you make a mistake and need to insert steps, fractional numbers are permitted.
• Write “Q.E.D.” or the Halmos sign at the end of each proof.

Please make a check mark if you have read all the instructions and understand them: o

DO NOT TURN THE PAGE UNTIL TOLD TO DO SO. YOU WILL HAVE 2 HOURS.