Geometry / Mr. Hansen 12/1/2004

Name: _________________________

Test on Chapter 5 (Short Answer Portion)

	Short answer (5 points each). No partial credit in most cases.
1.	Given: Distinct lines l, m, n with l || m, and n intersecting both of the other two.
	Make a sketch. Label the lines correctly (including tick marks), and label the 8 angles that are formed. Raise your hand so that I know that everyone’s numbers are compatible.
2.	List all pairs of angles that are congruent.
3.	Suppose in #1 that it is not known that l || m. List all pairs of angles which, if known to be supplementary, would be sufficient to prove that l || m.

Page 2 (E period version)
	Identify each quadrilateral without “overreaching.”
4.	All 4 sides are congruent.
5.	There are two consecutive angles that are congruent.
6.	Diagonals bisect the quadrilateral’s angles.
7.	There is a diagonal that is the ^ bisector of the other.
	Always, Sometimes, Never.
8.___	A square is a kite.
9.___	An isosceles trapezoid is a rectangle.
10.___	A parallelogram has congruent diagonals.

Page 2 (version for most F period students)
	Identify each quadrilateral without “overreaching.”
4.	All 4 angles are congruent.
5.	There are two consecutive sides that are congruent.
6.	Diagonals are congruent.
7.	Each diagonal is the ^ bisector of the other.
	Always, Sometimes, Never.
8.___	A square is a kite.
9.___	A rhombus is a rectangle.
10.___	A trapezoid has diagonals that bisect all the angles of the quadrilateral.

Geometry / Mr. Hansen 12/2/2004

Name: _________________________

Test on Chapter 5 (Free Response/Computation)
5 pts. each for #6-13

6.	Find the restrictions on x.
7.	Find mÐB.
8.	In this problem, you were given trapezoid EASY with segment EY and segment AS as bases. Given mÐA = 4x, mÐY = x + 60, and AS = x – 3, find AS. [Note: In the problem as originally written, the bars over EY and AS were correct, but the bar over AS was a typographical error since AS is a length, not a segment.]
9.	Given: rhombus AHDR with diagonals intersecting at Y, perimeter = 52, and mÐHAR = 60 Find: HY [Again, there was a typographical error in the original, since HY is a length and should have no bar over it.]
10.	Given: Kite KITE, mÐ1 = 6x, mÐ2 = x + 20 [Note: There were two typographical errors in the original, since the “m” for measure was omitted twice.] Find: mÐIKE
	For problems 11 and 12, you were given a rhombus, with vertices T(3, 2), O(8, 2), P(11, 6), and S on the same y value as P. You were also given that the diagonals intersect at V.
11.	Find the coordinates of V.
12.	Find the slope of segment SO.
13.	Given: p || q, mÐ1 = 2x + 20, mÐ2 = 3x – 50 [Note: Again, there were two typographical errors in the original, since the “m” for measure was omitted twice.] Find: mÐ3
PROOF (10 pts.)	You were given scalene DPIG, with segment PT being the altitude to segment IG, and you were asked to provide an indirect proof (a.k.a. proof by contradiction) to show that segment PT could not be the median to segment IG.