Geometry / Mr. Hansen 9/16/2008

Name: __________________________________

Test on Chapter 1 and Class Discussions
(100 Points, No Calculator Allowed)

• Think about each problem, and do not guess unless absolutely necessary.
• Cross all your z’s.
• Mathematics is about communication more than it is about calculating answers. (After all, computers can calculate answers faster and more accurately than any of us, but you don’t see a computer teaching this class, do you?) Therefore, problems requiring work or explanation are scored with approximately one third of the points for the answer and the other two thirds for your work or explanation.
• If your explanations are hard to read, spotty, or cryptic, you may not earn full credit, even if your answers are correct.
• Complete sentences are not expected unless specifically required by the problem. Focus on being clear and concise. Ditto marks are perfectly acceptable.
• If you obtain an answer that you know is wrong, mark it with “NR” for Not Reasonable. More partial credit is available if you indicate that you know something is amiss. A small deduction will be made if you mark “NR” on a correct solution, however.
• If an answer involves messy arithmetic, you may leave it unsimplified unless the problem says that simplification is required. For example, if the answer to a problem is 15 times 3/7, with the entire quantity raised to the 4th power, you may simply write (15 · 3/7)⁴.
• Carefully read the instructions for each part.

Part I: Always, Sometimes, Never (4 pts. each)

In the small blank, write A if the given statement is always true, S if it is sometimes true, or N if it is never true.

___1.	An obtuse angle has a greater measure than an acute angle.
___2.	If a conditional statement is false, then its contrapositive is also false.
___3.	A definition is a biconditional statement.
___4.	In DRST having RS = ST = 7, must be less than 14 units long.
___5.	If is right, then A, B, and C are collinear.
___6.

Part II: Free Response (12 pts. each)

SHOW YOUR WORK.

7.

Compute the angle between the hour hand and the minute hand at 5:12 p.m. Explain your reasoning clearly. Complete sentences are not required, but clarity is. A marked-up diagram will serve as sufficient explanation if it is carefully drawn; otherwise, you will want to write some additional words of justification.

8.	Sketch an angle of 70°15'30" and another angle of 15°48'35" in such a way that the two angles share a common side. What do you get if you add the two angles? Show your work, and give your final answer in simplified DDMMSS format. Leading zeros, if any, may be required for full credit.

9.		Given: If something is a fripster, then it is not googly.              If something is hooplaphonic, then it is googly. Define letters F, G, and H as sentences. What can you conclude?
		Let F = ______________________________________________________
		Let G = ______________________________________________________
		Let H = ______________________________________________________
		Work:
		Conclusion (OK to leave as symbols if you defined F, G, H as sentences above):
10.		List all possible names for . If we choose one of these at random, what is the probability that the name spells an English word?
11.		Given:	= 5y^2
			is a straight angle
		Find:	y
Part III: Two-Column Proof (16 pts.)
12.	Given: Diagram as marked Prove:
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BONUS (1 point): State Mr. Hansen’s policy on gifts (max. of 5 words).

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FEEDBACK BONUS (2 points):

Name something you enjoyed learning during our first two weeks together as a class.

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Name something about which you are still somewhat unclear or could use further help.

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