Geometry / Mr. Hansen 1/6/2009

Name: _________________________

Quest on Class Discussions/Text Through Chapter 8
(50 Points, No Calculator Allowed)

• Any word problem that uses algebra must contain a “Let” statement for full credit.
• Mathematics is about communication more than it is about calculating answers. 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.

• Illegible or cryptic explanations may not earn full credit, even if your answers are correct.
• Read all instructions. Be clear and concise in answers. Ditto marks are 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.

Part I: Always, Sometimes, Never (2 pts. each)

In the small blank, write A if the statement is always true, S if sometimes true, or N if never true. There is no partial credit today.

___1.	A rhombus is a kite.
___2.	A nonconvex quadrilateral is a dart.
___3.	A parallelogram has at least one diagonal that is an angle bisector.
___4.	A skew quadrilateral is a plane figure.
___5.	The exterior angles of a regular polygon are obtuse.

Part II: Problems (8 pts. each; work is required)

Circle your answer. Correct answers without supporting work will earn no points.

6.	Given: Triangle ABC has T as a trisection point of side             BT = 8             TC = 16 bisects             AB = 4.5 Find: AC Furnish a diagram (required) and work (also required).
7.	Find the angle formed by the hands of a clock at 3:29 p.m. A diagram and work are required. Use reverse side of paper.

Part III: Proofs (12 pts. each)

P1.	Furnish diagram, given statement, prove statement, and a 2-column proof.
	Prove that for any square, a segment that connects opposite vertices creates two congruent 45°-45°-90° triangles.
P2.	Given any triangle ABC, prove (using the standard “parallel postulate” method) that the angles add up to 180°. Either a paragraph proof or a 2-column proof will be acceptable.