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Geometry - Review 5.1-5.3
Name _____________________________ Pd. ___
Classify the polygon by the number of sides.
Then state whether the polygon is convex or concave.
State whether the polygon is BEST described as
equilateral, equiangular, regular or none of these.
1.
3.
2.
___________ __________ ___________ ___________
Find the sum of the measures of the interior angles
of the indicated convex polygon.
Find the sum of the measures of the
the exterior angles of the convex polygon.
4.
6. decagon
pentagon
5. 20-gon
Determine if the angles are interior or exterior. Find the sum of the measures of the angles needed to
solve for x. Then, set up an equation and find the value of x. Show work!!
7.
interior or exterior
8.
interior or exterior
sum = ____________
sum = ____________
equation _________________________________
equation _________________________________
x = ________
x = ________
9. The measures of the interior angles of a
quadrilateral are x˚, 2x˚, 4x˚, and 5x˚. What is
the measure of the largest interior angle?
x = _____ largest interior angle = ______
10. The measures of the exterior angles of a
triangle are 4x˚, 5x˚ and 6x˚. What is the
measure of the smallest exterior angle?
x = _____ smallest exterior angle = ______
11. Find the measures of one interior angle and one exterior angle of a regular 30-gon.
one interior angle = _______ one exterior angle = _______
Find the value of n for each regular n-gon described. Show work!
12. Each exterior angle of the regular n-gon has a
measure of 60˚.
n = ________
13. Each interior angle of the regular n-gon has a
measure of 135˚.
n = ________
Find the value of each variable in the parallelogram. Show work!
3x
14.
15.
12
y+3
16.
(x + 10)˚
y˚
65˚
2y
10
x–3
8
18
x = ________ y = ________
x = ________ y = ________
x = ________ y = ________
I
17. Find the indicated measures in parallelogram KHIL given 𝒎∠𝑲𝑯𝑰 = 𝟏𝟏𝟎˚
H
a. 𝐻𝐼 = _________
b. 𝐾𝐻 = _________
c. 𝐺𝐻 = _________
d. 𝐼𝐾 = _________
e. 𝑚∠𝐼𝐿𝐾 = _________˚
f. 𝑚∠𝐻𝐼𝐿 = _________˚
g. 𝑚∠𝐻𝐾𝐼 = _________˚
h. 𝑚∠𝐾𝐼𝐿 = _________˚
16
G
30˚
K
17
12
L
22
Are you given enough information to determine whether the quadrilateral is a parallelogram? Explain.
18.
60˚
120˚
19.
20.
120˚
Yes or No
21.
Yes or No
Yes or No
22.
Yes or No
23.
Yes or No
Yes or No
Find the value of each variable that will make the quadrilateral a parallelogram. Show work!
24.
25.
10x – 8
26.
9
(3x)˚
y˚
6x
(4x + 5)˚
y2
x = ________ y = ________
x = ________
x = ________ y = ________
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