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Geometry Final Review

Total questions: 63

Worksheet time: 3hrs 49mins

Name
Class
Date
1.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
2.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
3.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
4.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
5.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16
6.
Find the measure of the x (midsegment):
a)
25
b)
9
c)
12
d)
15
7.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
8.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
9.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
10.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
11.
Do three squares with side lengths of 6, 12, and 13 form a right triangle?
a)
Yes
b)
No
12.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
13.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
14.
Find x.
a)
22
b)
11√3
c)
11√2
d)
11
15.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
16.
Which side is opposite angle x?
a)
1
b)
2
c)
3
17.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
18.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
19.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
20.
a)

57.1

b)

51.7

c)

47

d)

40.1

21.
a)

69.4

b)

49.4

c)

68.2

d)

48.3

22.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

23.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

24.

Name the pictured part of the circle.

a)

Center

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

25.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

26.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
27.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
28.
What is the circumference of a circle with a radius of 54 m?
a)
339.12 m
b)
169.56 m
c)
84.78 m 
29.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
30.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
31.
a)

149.5 cm2149.5\ cm^2

b)

150 cm2150\ cm^2

c)

149 cm2149\ cm^2

d)

299 cm2299\ cm^2

32.
a)

195 cm2195\ cm^2

b)

195.5 cm2195.5\ cm^2

c)

391.5 cm2391.5\ cm^2

d)

391 cm2391\ cm^2

33.

What is the area of this trapezoid?

a)

216 cm2

b)

204 cm2

c)

156 cm2

34.
What is the area of this composite shape?
a)
14 in2
b)
68 in2
c)
36 in2
d)
24 in2
35.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
36.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
37.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
38.
The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?
a)
4,188.8
b)
1,333.3
c)
2,364.3
d)
5,000.3
39.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
40.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
41.
V = ?
a)
1,077.02 yd3
b)
269.255 yd3
c)
153.86 yd3
42.

Find the volume of the given hemisphere.

a)

1,216.7 cubic in.

b)

879.6 cubic in.

c)

991.4 cubic in.

d)

1,072.3 cubic in.

43.

A sphere has the volume of 905 cm^3. What is the radius of the sphere rounded to the nearest whole number?

a)

6 cm

b)

9 cm

c)

3 cm

d)

12 cm

44.

When a sphere has a volume of 972π inches^3, what is the radius of the sphere?

a)

9 in

b)

7 in

c)

18 in

d)

21 in

45.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
46.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36
47.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Center-center
48.
Which of the images represents the Incenter of a Triangle
a)
First
b)
Second
c)
Third
49.
Which of the images represents the Circumcenter of a Triangle
a)
First
b)
Second
c)
Third
50.
If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?
a)
any length
b)
equal to 10
c)
greater than 10
d)
less than 10
51.

Can the following side measures form a triangle?

3, 5, 5

a)

Yes

b)

No

52.
What is the range of values of x for a triangle's third side given side measures of 8 and 15?
a)
between 8 and 15
b)
between 7 and 23
c)
less than 7, greater than 23
53.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

a)

3 < x < 11

b)

4 < x < 7

c)

7 < x < 4

d)

11 < x < 3

54.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
55.
State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi
a)
acute
b)
obtuse
c)
right
56.
State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in
a)
acute
b)
obtuse
c)
right
57.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
58.

Find the sum of the measures of the interior angles of a convex 50-gon.

a)

9000

b)

8640

c)

360

d)

172.8

59.

For parallelogram ABCD, find m∠1.

a)

19

b)

38

c)

52

d)

56

60.

ABCD is a parallelogram with diagonals intersecting at E. If AE = 4x – 8

      and EC = 36, find the value of x.

a)

7         

b)

11

c)

15.5

d)

38

61.

ABCD is a rectangle. If AB = 7x – 6 and CD = 5x + 30, find the value of x.

a)

5 13\frac{1}{3}

b)

12

c)

13

d)

18

62.

For rhombus GHJK, find m∠1.

a)

90

b)

64

c)

52

d)

38

63.

For kite WXYZ, find m∠W.

a)

106

b)

148

c)

212

d)

360