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Geometry: Chapter 6 Test Review
1. What is the sum of the interior angles of a decagon?
2. What is the sum of the exterior angles of a 540-gon?
3. Each interior angle of a regular polygon is 168 degrees. How many
sides does it have?
4. Each exterior angle of a regular polygon is 15. 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 = 2x - 5 and <B = x + 4
6. CE = 5x – 10 and EB = 2x + 5
D
Use the figure below for numbers 7 – 13. JKLM is a parallelogram.
J
K
N
M
L
7. < MJK = 186 find < JKL
8. < JKL = 5x - 1 and < KLM = 2x + 14. Solve for x.
9. JK = 2x and ML = 4x – 10. Solve for x.
10. MN = 6x + 3 and NK = 4x + 15. Solve for x and find the measure
of MK.
11. JM = 8x - 13 and KL = 7x + 5. Solve for x
12. MK = 9x – 10 and JL = 80. Solve for x.
13. < JKN = 89 and <LMN = x – 5. Solve for x
Use the figure below for numbers 14 - 19 . WXYZ is a isosceles
trapezoid. (XW is congruent to YZ and UV is a median)
X
Y
U
W
V
Z
14. XY = 43 and WZ = 57. Find UV.
15. < W = 2x - 14 and < Z = x – 10. Solve for x.
16. < W is congruent to what other angle?
17. XY = 10 and WZ = 28. Find UV.
18. XY = 33 and UV = 58. Find WZ.
19. XU = 3x and UW = 2x + 16. Solve for x and find XW.
20. Opposite angles are NOT always congruent in which quadrilateral?
a. parallelogram
b. rectangle
c. square
d. trapezoid
21. A quadrilateral can be proven to be a parallelogram if…
a. It has one pair of parallel sides
b. Both pairs of opposite angle are congruent
c. It has one pair of congruent sides
d. the diagonals are congruent
22. All parallelograms have
a. opposite angles supplementary
b. four congruent sides
c. opposite angle that are congruent
d. diagonals that are congruent
23. A square can also be a
a. rectangle
b. kite
c. trapezoid
d. circle
24.
25. For a regular polygon with six sides, each interior angle has a
measure of
a. 120
b. 60
c. 45
d. 30