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Geometry FINAL EXAM 2019

Total questions: 137

Worksheet time: 10hrs 58mins

Name
Class
Date
1.
Part of a line. Has two endpoints and includes all of the points in between.
a)
Point
b)
Angle
c)
Line
d)
Line Segment
2.
An exact location in space with no length or width.
a)
Ray
b)
Point
Point
c)
Line
d)
Line segment
3.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
4.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
5.

Two rays that have a common endpoint and form a line.

a)

opposite rays

b)

line segment

c)

line

d)

plane

6.

What is the name of the ray opposite OP?

a)
b)
c)
d)
7.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
8.
What is the value of x? 
a)
x = 3
b)
x = 2
c)
x = 1
d)
x = 5
9.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
10.
Find the value of ∠A.
a)
79 degrees
b)
87 degrees
c)
90 degrees
d)
97 degrees
11.
If < ABC= 103⁰, find m< ABD
a)
45
b)
13
c)
57
d)
46
12.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
13.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
14.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
15.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
16.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
17.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
18.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
19.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
20.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
21.
If angle 8 is 63 degrees, how many degrees is angle 2?
a)
63 degrees because angle 8 & 2 are alternate exterior angles.
b)
117 degrees because angle 8 & 2 are supplementary.
c)
63 degrees because angle 8 & 2 are vertical angles.
d)
117 degrees because angle 8 & 2 are same side exterior angles.
22.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
23.
a)
x=29
b)
x=61
c)
x=14
d)
x=20
24.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
25.
.Write the equation of the line where m = -1 and passes through the point (-2, 4)
(y = mx + b)
a)
x = -2
b)
y = 4x - 2
c)
b = 2
d)
y = -1x + 2
26.
Write the equation of the line that has a slope of 3 and passes through (5, 11)
a)
y = 3x - 4
b)
y = 3x  - 26
c)
y = 3x - 38
d)
y = 3x - 28
27.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
28.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
29.
Which equation is perpendicular to:
 y = -6x +2
a)
y = 6x +1
b)
y = 1/6x +4
c)
y = -6x +3
d)
y = -1/6x +5
30.
Write the equation of the line that has a slope of -3/2 and passes through (4, -3)
a)
y = -3/2 x + 4
b)
y = -3/2 x - 9
c)
y = -3/2 x - 3
d)
y = -3/2 x + 3
31.
Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?
a)
y = 3/2x - 6
b)
y = 2/3x + 3
c)
y = -2/3x - 2
d)
y = -2/3x + 2
32.
Line m contains the points (-3, 4) and (1, 0). Write the equation of a line that would be parallel to this one, and pass through the point (-2, 6).
a)
y = -x + 4
b)
y = x + 6
c)
y = 3x - 5
d)
y = 2x 
33.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
34.

Find <S

a)

A

b)

B

c)

C

d)

D

35.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
36.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
37.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
38.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
39.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
40.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
41.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
42.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
43.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
44.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
45.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
46.
IJ is a midsegment of triangle MLN. What is the length of segment IJ?
a)
9
b)
6
c)
18
d)
0
47.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
48.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
49.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
50.
Find the measure of ONE exterior angle of a regular decagon.
a)
36
b)
10
c)
18
d)
40
51.
Find the value of the variable(s).
a)
x = 88
b)
x = 176
c)
x = 90
d)
x = 174
52.
Find the measure of ONE interior angle of a regular dodecagon.
a)
150
b)
120
c)
1800
d)
20
53.
Find the sum(total) angle measure of 17-gon
a)
158.82o
b)
2,340o
c)
3,060o
d)
2700o
54.

What is the measure of an exterior angle of a regular octagon?

a)

1080o

b)

144o

c)

45o

d)

36o

55.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
56.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
57.
Find the measure of angle 2
a)
54
b)
108
c)
72
d)
36
58.
Find the measure of angle 1 
a)
68
b)
22
c)
136
d)
44
59.
Find the measure of angle 2
a)
68
b)
22
c)
136
d)
44
60.
In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable. 
a)
x = 10, y = 5, z = 6
b)
x = 9, y = 81, z = 6
c)
x = 15, y = 75, z = 4
d)
x = 90, y = 90, z = 90
61.
Find the missing angle.
a)
65
b)
115
c)
180
d)
None of these
62.
Find the midsegment.
a)
11
b)
22
c)
None of these
d)
10.5
63.
Find the midsegment.
a)
9.2
b)
18.4
c)
None of these
d)
10.2
64.
Find the missing base.
a)
24
b)
26
c)
None of these
d)
7
65.
Find the value of x:
a)
5
b)
7
c)
8
d)
11
66.
Find the value of x.
a)
18.5
b)
8
c)
11
d)
None of the above.
67.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
68.
a)
1/24
b)
29
c)
28
d)
x
69.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
70.
Solve for x. The two figures are similar.
a)
x = 8
b)
x = 2
c)
x = 4
d)
x = 6
71.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
72.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
73.
A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
74.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
75.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
76.
Find x.
a)
4
b)
2
c)
√3
d)
2√2
77.
Find x.
a)
10
b)
20
c)
10√3
d)
√3
78.
Find x.
a)
12
b)
√2
c)
√3
d)
6
79.
What is the measure of a?
a)
3
b)
3√3
c)
6
d)
3√2
80.
Find the length of m.
a)
4
b)
6
c)
12
d)
2√3
81.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
82.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
83.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
84.
What is the value of x?
a)
2√2
b)
1
c)
2
d)
4
85.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
86.
What is the value of y?
a)
3√2
b)
4√3
c)
6
d)
1
87.

The ratio in a right triangle of opposite to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

88.
The ratio in a right triangle of adjacent to hypotenuse is _____
a)
sine
b)
cosine
c)
tangent
d)
inverse cosine
89.

The ratio in a right triangle of opposite to adjacent is _____

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

90.
What is the opposite side to <D?
a)
EF
b)
DF
c)
DE
91.
What is the adjacent side to <E?
a)
EF
b)
DF
c)
DE
92.
What is the adjacent side to <D?
a)
EF
b)
DF
c)
DE
93.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
94.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
95.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
96.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
97.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
98.
Solve for x.
a)
50.7
b)
50.1
c)
60.7
d)
61.0
99.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
100.
Find the length of side W?
sin 68 = 70/w
a)
186.86 m
b)
75.50 m
c)
28.28 m
d)
.01 m
101.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
102.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
103.

Calculate the length of RS

a)

7.66

b)

8.39

c)

15.56

d)

13.05

104.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
105.
Identify the transformation from B to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
106.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
107.
Identify the transformation from ABC to A'B'C'.
a)
Translation
b)
90o clockwise rotation
c)
90o counterclockwise rotation
d)
Reflection across the x-axis
108.

What would be the coordinate of R' when dilating the figure by a scale factor of 1/2?

a)

R'(1, 4)

b)

R'(2, -1/2)

c)

R'(1, -1/2)

d)

R'(1, 2)

109.

Find G' given a rotation 90o counter-clockwise of the figure

a)

G'(3, -1)

b)

G'(-2, -3)

c)

G'(1, -3)

d)

G'(-1,0)

110.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
111.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
112.
Area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
113.
a)
25.9 yd2
b)
12.95 yd2
c)
6.475 yd2
d)
12.95 m2
114.
a)

42

b)

45

c)

47.5

d)

48.3 ft2

115.

Solve for the Area of the trapezoid

a)

67.9 ft2

b)

72 ft2

c)

24 ft2

d)

64 ft2

116.
Find the area of the composite figure
a)
40
b)
9
c)
49
d)
61
117.
What is the area of the composite figure?
a)
80 cm2
b)
16 cm2
c)
96 cm2
d)
32 cm2
118.
What is the area of the composite figure?
a)
40 sq cm
b)
65 sq cm
c)
52.5 sq cm
d)
25 sq cm
119.
a)
A
b)
B
c)
C
d)
D
120.
a)
A
b)
B
c)
C
d)
D
121.
a)
A
b)
B
c)
C
d)
D
122.
What is the area of this circle?
a)
82.13 m2
b)
78.50 m2
c)
314.16 m2
d)
170.12 m2
123.
What is the area of this circle?
a)
16π
b)
c)
d)
16π²
124.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Leave your solution in terms of pi.

a)

5π/3

b)

10π/3

c)

10π

d)

40π

125.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

9.42

d)

113.10

126.

What is the area of the shaded region? Leave your solution in terms of pi.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

127.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
128.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
129.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

130.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 in
d)
None of the above
131.
Is line AB tangent to the circle?
a)
YES
b)
NO
NO
c)
Can't Tell
Can't Tell
132.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90

b)

140

c)

220

d)

360

133.
a)

A

b)

B

c)

C

d)

D

134.
a)
A
b)
B
c)
C
d)
D
135.
a)
A
b)
B
c)
C
d)
D
136.
Find a and b.
a)
a=74 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
137.
a)
A
b)
B
c)
C
d)
D