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Geometry
Name_________________________
Review
I. Identify the name of the polygon given the number of sides.
1. 6 ________
2. 13________
3. 8 ________
4. 5 ________
5. 9 _______
6. 10________
7. 12_______
8. 20 ________
9. 3 _______
10. 4 ________
11. 7 _______
12. 11 _______
II. Find the sum of the measure of the interior angles in the following polygons.
13. pentagon ______ 14. octagon_______ 15. 23-gon ______
16. nonagon______
III. Determine the value for each interior angle and exterior angle of the following polygons.
17. regular hexagon _____ _____
18. regular 18-gon_____ _____
IV. The measure of one exterior angle of a regular polygon is given. Find the number of sides.
19. 120 __________
20. 60 __________
V. Use the polygon below to answer the following questions.
21. Give the name of the polygon given the number of sides.
_________________
A
22. Is it concave or convex? _________________
23. Name all sides of the polygon.
__________________________________________
24. Name two angles of the polygon.
___________
__________
25. Name the vertices.
____________________________
B
A
H
B
A
C
B
A
G
B
A
D
A
F
B
A
E
B
A
26. Is this polygon regular? Explain. ________________________________________________________
VI. Define.
Quadrilateral Rhombus Base Parallelogram Square Legs Diagonal Trapezoid
Base Rectangle Isosceles Trapezoid Median Polygon
VII. Know ALL Properties for Quadrilaterals
PARALLELOGRAM
RECTANGLE
RHOMBUS
SQUARE
TRAPEZOID
VIII. Determine the type of Quadrilateral.
A(-1,3) B(2,4) C(1,-2) D(4,0)
_________________________
IX. Given parallelogram ABCD, find the following.
_____ a.) AB = 3x + 5
CD = 2x + 12
_____ b.) AE = x + 28
EC = 8x
_____ c.) m  A = 2x + 12
m  C = 4x - 6
_____ d.) AD = 4x + 5
BC = 45
x=?
X. Given rectangle RSTU, find the following:
_____ a.) m  1 = 3x + 2
m  2 = 7x - 2
m <2 = ?
_____ b.) RT = x + 3
US = 5
m  2 = 30x + x
m 3=?
OMIT c.) RU = 7y - 1
ST = -3y2 + y - 1
_____ d.) m  2 = 35
Find m  SMR.
XI. Given rhombus ABCD.
_____ a.) m  1 = 65
Find m  2.
_____ b.) AB = 3n - 18
AC = 10n + 15
XII. Given square ABCD.
_____ a.) AM = 3x + 5
DM = 5x -19
_____ b.) m  BMC = 3x + 42
XIII. Given PQRS is a trapezoid with median TU.
_____ a.) PQ = 3x + 14
SR = 5x + 10
TU = 44
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