Download In the four problems that follow, use your ruler and/or protractor to

Geometry AF
Chapter Five Test
Name: __________________________
Date: ______________ Block: _____
Geo Ch05 Test 20101221a.doc
Part A – Problems 1 to 15 (each answer 3 pts)
Complete each sentence with the best word or phrase.
Each answer is a SINGLE WORD OR NUMBER unless otherwise indicated.
DO NOT USE THE WORDS “INTERSECT” or “SQUARE” in any answer.
1. In an isosceles trapezoid, the base angles are ____________________________________________.
2. The diagonals of a parallelogram _____________________________________________ each other.
3. Each interior angle of a regular octagon measures __________________________________ degrees.
4. The length of a midsegment of a trapezoid is the _____________________ of the lengths of the bases.
5. The two vertex angles of a kite are ________________________________________ by the diagonal.
6. Two consecutive angles of a parallelogram are ___________________________________________.
7. The length of a midsegment between two sides of a triangle is _____________________ the length of
the third side.
8. The diagonals of a(n) _______________________________ are perpendicular bisectors of each other.
9. The non-vertex angles of a kite are _____________________________________________________.
10. The sum of the measures of the exterior angles of a hexagon is ______________________ degrees.
11. The midsegment of a trapezoid is ____________________________________________ to the bases.
12. The opposite angles of a parallelogram are _______________________________________________.
13. The diagonals of a(n) _______________________ are perpendicular but do not bisect each other.
14. The midsegments of a triangle divide the triangle into ______________________________________.
( Note: The answer to Problem 14 is three words.)
15. An equiangular quadrilateral is usually called a(n) _________________________________________.
Start:____________
End: ____________
Geometry AF
Chapter Five Test
Page 2 of 6
Geo Ch05 Quiz Test 20101221a.doc
Part B – Problems 16 to 21
(each answer 2 points)
Find the measure of each lettered angle in the figure below.
16. m = __________
17. n = __________
18. p = __________
19. r = __________
20. s = __________
21. t = __________
m
r
n
t
s
p
72°
85°
Geometry AF
Chapter Five Test
Page 3 of 6
Geo Ch05 Quiz Test 20101221a.doc
Part C – Problems 22 to 25 (each answer 2 points)
22. Perimeter = 64
10
y
a = ________
x
96°
24. a = ________
w = ________
x = ________
x = ________
y = ________
a
y = ________
a
x
31
24°
60°
y
w
55°
46
25. A regular hexagonal mirror frame is to be
built from strips of 2-inch-wide pine lumber.
Look closely at the diagram below. At what
angles a and b should the frame pieces be
cut?
23. The figure is a parallelogram.
a = ________
b = ________
x = ________
a = _________
y = ________
b = _________
a
y
47°
38
b
x
31
Close-up view of
one corner:
Geometry AF
Chapter Five Test
Page 4 of 6
Geo Ch05 Quiz Test 20101221a.doc
Geometry AF
Chapter Five Test
Page 5 of 6
Geo Ch05 Quiz Test 20101221a.doc
Part D – Flowchart Proof (3 points each)
T
Prove the following conjecture by filling in the blanks in
R
the flowchart proof below:
The diagonals of an isosceles trapezoid are congruent.
Given: Isosceles trapezoid TRAP with TR || PA
A
P
and TP  RA
Show: TA  RP
26.___________________
Given
TPA  RAP
Isoceles Trapezoid
Conjecture
PA  AP
27._________________
______________
28. TPA   ________
29. __________________
TA  RP
30. ____________
Geometry AF
Chapter Five Test
Part E – Angle Measures
Page 6 of 6
Geo Ch05 Quiz Test 20101221a.doc
( 1 point each)
Find the measure of each lettered angle.
Use the degree symbol!
31. a = ____________
32. b = ____________
33. c = ____________
34. d = ____________
35. e = ____________
36. f = ____________
37. g = ____________
38. h = ____________
Part F – Bonus Question (worth up to 5 points)
The vertices of quadrilateral ABCD have the following coordinates:
A(7,2)
B(8,3)
C(4,5)
D(5,2)
Determine whether ABCD is a trapezoid, a parallelogram, rectangle, or none of these. Show your work.

Answer: ABCD is a _______________________________.