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Geometry Chapter 6
Spiral
1. What is the sum of the interior angles of a 15 -gon?
2. What is the sum of the exterior angles of a 93-gon?
3. Each interior angle of a regular polygon is 144 degrees.
How many sides does it have?
4. Each exterior angle of a regular polygon is 60. How many
sides does it have?
Use the figure below for number 5 & 6 .ABCD is a
parallelogram. Solve for x.
A
B
E
C
5. < A = 7x - 3 and <C = 60
6. AE = 4x + 2 and ED = 3x + 9
D
Use the figure below for numbers 7 – 11. JKLM is a
parallelogram.
J
K
N
M
L
7. < MJK = 49 find < JKL
8. < JKL = 10x - 40 and < KLM = 12x + 2. Solve for x.
9. JK = 5y - 9 and ML = 8y + 14. Solve for y.
10. MN = 3x + 4 and NK = 4x -5. Solve for x and find the
measure of MK.
11. JM = 6x + 10 and KL = 40. Solve for x
Use the figure below for numbers 12 - 15 . WXYZ is a
isosceles trapezoid. (XW is congruent to YZ and UV is a
median)
X
Y
U
V
W
Z
12. XY = 48 and WZ =57. Find UV.
13. < W = 3x - 9 and < Z = 6x + 3. Solve for x.
14. XY = 8 and UV = 14. Find WZ.
15. XU = 6x - 4 and UW = x + 11. Solve for x and find XW.
16. Find the geometric mean of 7 & 22
Solve for all variables
17.
z
18.
x
y
2
x
8
5
19
19.
20. Do these lengths form a right
triangle? If so is it a Pythagorean
triple? (2 answers both yes or no):
3, 4, 5
15
8
x
21. Name the three trig ratios (as fractions). Do not solve for
anything.
B
Tan A =
13
9
Sin A =
Cos A =
C
A
7
Solve for all variables
22.
23.
19
9
43
29
x
x
24. An 8 foot ladder is leaning against a building. The angle
of elevation is 49 degrees. How far is the base of the ladder
from the building?
25. Solve for x
44
x
11
26. x + 4= 9
21 2
27. The ratio for the angles of a triangle is 7:9:11. What is the
measure of each angle?
Given the polygons are similar solve for x and y
16
28.
9
14
x
12
29.
y
30.
x
44
x
33
15
21
49
39
31.
32. Find the range for x
A
19
x
x
72
5
B
25
C
44
Solve for x, y, and z
33.
x
49
34.
y
52
y
56
x
35. _______, _________, and ________ angles prove lines
parallel when they are congruent and __________ angles
prove lines parallel when they are supplementary.
Solve for all angles and find x
36.
123
3x -3
Solve for x
10x - 1
37.
A
AC = 99
42
B
C
Find the distance between
38. (3, 2) & (5, 12)
39. Solve for x
5x + 2
12x - 4
Statement: If I like purple, then I am from Strasburg.
Write the…
40. Converse:
41. Inverse:
42. Contrapositive:
43.
44.
46.
47.
45.
48.
49.
50.