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Geometry Final Review

Total questions: 108

Worksheet time: 5hrs 47mins

Name
Class
Date
1.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
2.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
3.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
4.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)     
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
5.
Find the midpoint of the segment with the endpoints:   (-4, 5) and (7, -9)  
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
6.
Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)
a)
(-9, -9)
b)
(-3, -4)
c)
(-3, 4)
d)
(-4, -3)
7.

Name the angle with one arc

a)

< FIE

b)

< EIR

c)

< FIR

d)

< RIE

8.
Name the angle with two arcs
a)
< FIE
b)
< EIR
c)
< FER
d)
< FIR
9.
                                                                                                     
Name the angle with one arc
a)
< KLN
b)
< LNM
c)
<LMN
d)
< KNL
10.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
11.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
12.
Which type of angle is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
13.
Classify this angle.
a)
Right
b)
Straight
c)
Obtuse
d)
Acute
14.
Classify this angle.
a)
Acute
b)
Straight
c)
Obtuse
d)
Right
15.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
16.
Find the measure of the indicated angle. 
a)
70 degrees
b)
82 degrees
c)
83 degrees
d)
42 degrees
17.
Find the measure of the indicated angle. 
a)
8
b)
70
c)
54
d)
56
18.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
19.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
20.
∠AOB and ∠COB can best be described as - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
21.
What is the complement angle to 12°?
a)
78°
b)
68°
c)
168°
d)
90°
22.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
23.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
24.
a)
Perpendicular
b)
Parallel
25.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
26.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
27.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
28.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
29.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
30.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
31.
The radius is 6 inches.  What is the area?
a)
6pi
b)
36pi inches
c)
9pi inches
d)
3pi inches
32.
The diameter is 6 inches.  What is the area?
a)
6pi
b)
36pi inches
c)
9pi inches
d)
3pi inches
33.
The diameter is 10 inches.  What is the area?
a)
31.4 inches
b)
15.7 inches
c)
314 square inches
d)
78.5 square inches
34.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
35.
Find the volume of the figure?
a)
1100 in3
b)
1600 in3
c)
1200 in3
d)
1500 in3
36.
Find the volume of the figure?
a)
460 cm 3
b)
660 cm 3
c)
60 cm 3
d)
360 cm 3
37.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
38.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
39.
Find HG.
a)
8
b)
9
c)
10
d)
11
40.
Find ST.
a)
11
b)
12
c)
13
d)
14
41.
Let B be between A and C.
a)
28
b)
4
c)
16
d)
12
42.
Find KL.
a)
18
b)
15
c)
6
d)
20
43.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
44.
If m = 3 and b = 6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
45.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
46.
What is the equation of the line that passes through the point (7, 1) and has an undefined slope?
a)
x = 7
b)
y = 7
c)
x = 1
d)
y = 1
47.
What is the equation of the horizontal line that passes through the point (2, -4)?
a)
x = 2
b)
y = 2
c)
x = -4
d)
y = -4
48.
What is the equation of the line that passes through the point (-6, 3) and has a zero slope?
a)
x = -6
b)
y = -6
c)
x = 3
d)
y = 3
49.
Find the equation of the line that is parallel to the line y = 2x - 1 and passes through the points (4, 6)
a)
y = 2x - 2
b)
y = -1/2x + 8
c)
y = 2x + 8
d)
y = -2x + 2
50.
Find the equation of the line that is perpendicular to the line y = 1/3x - 7 and passes through (1, -1).
a)
y = 1/3x - 1
b)
y = 3x - 4
c)
y = -3x + 2
d)
y = -3x - 1
51.
a)
A
b)
B
c)
C
d)
D
52.
a)
A
b)
B
c)
C
d)
D
53.
.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.
What does SSS stand for?
a)
Small Small Small
b)
Side Side Side
c)
Small Side Small
d)
Sam's Silly Side
56.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
57.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

58.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
59.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
60.
a)
72
b)
67
c)
65
d)
54
61.
Find x.
a)
180
b)
57
c)
61.5
d)
32.7
62.
Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees
63.
a)
11
b)
22
c)
5.5
d)
3.67
64.
a)
6
b)
3
c)
1.5
d)
1
65.
a)
PN = 7     QP = 14
b)
PN = 14    QP = 7
c)
PN = 10.5   QP = 10.5
d)
PN = 5.25  QP = 10.5
66.
a)
CD = 10    CE = 15
b)
CD = 10    CE = 20
c)
CD = 5    CE = 10
d)
CD = 5    CE = 15
67.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
68.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
69.
Does a triangle with these side lengths exist?
8.5, 6.5, 13.5
a)
Yes
b)
No
c)
I don't know.
70.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
71.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
72.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
73.
Are the triangles similar?
a)
Yes
b)
No
74.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
75.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
76.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
78.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
78.
Find the value of x.
a)
18
b)
18√3
c)
36√3
d)
12
79.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
80.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
81.
Find the measure of the missing angle.
a)
49o
b)
52o
c)
41o
d)
33o
82.
Find the measure of the indicated angle.
a)
9.39
b)
55.2
c)
20.2
d)
19.4
83.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
84.
Find the measure of ONE interior angle of a regular dodecagon.
a)
150
b)
120
c)
1800
d)
20
85.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
86.
a)
A
b)
B
c)
C
d)
D
87.
a)
A
b)
B
c)
C
d)
D
88.
a)
A
b)
B
c)
C
d)
D
89.
a)
A
b)
B
c)
C
d)
D
90.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
91.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
92.
Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
93.
Chose the correct transformation:
(x, y) ----- (-x, y)
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
90 degree clockwise rotation
d)
90 degree counter clockwise rotation
94.
Chose the correct transformation:
(x, y) ----- (x, -y)
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
90 degree clockwise rotation
d)
90 degree counter clockwise rotation
95.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
96.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
97.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
98.
a)
A
b)
B
c)
C
d)
D
99.
a)
A
b)
B
c)
C
d)
D
100.
a)
A
b)
B
c)
C
d)
D
101.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
102.
Find the radius r
a)
2
b)
3
c)
4
d)
5
103.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
104.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
105.
In the equation (x-4)2+(y-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
106.
In the formula for calculating the area of a regular polygon, p = permeter, s = length of one side, and n = number of sides.
a)
true
b)
false
107.
Find the area of a regular  dodecagon with a perimeter of 144 cm.
a)
1247 cm2
b)
1523 cm2
c)
1612.2 cm2
d)
1845 cm2
108.
Find the area of a regular pentagon 6 feet on each side.
a)
56.2 feet2
b)
61.9 feet2
c)
72.4 feet2
d)
76.8 feet2