~allle:
Date:
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CP GeOlnctrv - Unit 8 Review Sheet
Directions: Complete each of the following questions on a separate sheet of paper. This review
sheet and your supporting work should be kept in the notes section of your binder.
1. The ratio of the angles in
angle at vertex point Y?
~XYZ
is 4:6:8 respectively. What is the nleasure of the exterior
The ratio of the two acute angles in right triangle ABC is 3:5. Find the measure of each
angle.
3. Using the diagram below. lind the mLC.
A
.0
D
"
(h -5)
(n'1(+')-",--~
__
+------.A
~
-t.
B
Using the diagram below. tind the mLPRQ.
C
~
p
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3
5. Find the value ofx in the triangle below.
6.
5
0
(~~Q
R
~ABC
is the midsegment triangle of ~XYZ. If the perimeter of ~ABC is 37 inches. what is
the perimeter of ~XYZ?
7. Determine the sum of the interior angles of a nonagon.
8. Determine the sum of the interior angles of a 31-gon.
9. Determine the measure of each interior angle of a regular heptagon.
10. Determine the measure of each interior angle of a regular pentadecagon.
11. If the sum of the interior angles of a polygon is 3420°, determine the number of sides the
polygon has.
12. If the measure of each interior angle of a regular polygon is 162°, determine the number of
sides the polygon has.
13. Find the measure of each interior angle of pentagon ABCDE.
e
A
L2.~------t:
14. Find the value of x in the diagralTI below.
15. Determine the number of diagonals a 13 - gon has.
16. Determine the nunlber of diagonals a 76 sided polygon has.
17. If a polygon has 27 diagonals, what type of polygon is it?
18. If a polygon has 275 diagonals, determine the number of sides it has.
19. Determine the sum of the exterior angles of a dodecagon.
20. Determine the sum of the exterior angles of a 65-gon.
21. Determine the measure of each exterior angle of a regular polygon with 20 sides.
22. Determine the measure of each exterior angle of a regular decagon.
23. If the measure of each exterior angle of a regular polygon is 15°, determine the number of
sides the polygon has.
24. If the measure of each exterior angle of a regular polygon is 45°, classify the polygon based
on the number of sides.
25. Given the triangle below, determine the value ofx.
26. If the ratio of the exterior angles of pentagon ABCDE is 2:4:5:6:7 respectively, determine the
measure of each interior and exterior angle of the pentagon.
27. The measure of an exterior angle of an equiangular polygon is twice that of an interior angle.
What is the name of the polygon?
28. The measure of an ~erior angle of an equiangular polygon exceeds four times the n1easure
of one of the polygon's exterior angles by 30. What is the name of the polygon?
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