1
Geometry Exam Review, Part 1
Name ____________________
t
1.
Find x so that l
A) 22
B) 23
C) 44
D) 46
m.
l
4x-2
2.
What is the name of a polygon having 8 sides?
A)
B)
C)
D)
3.
5
6
7
12
Which of the following properties is not shared by all parallelograms?
A)
B)
C)
D)
5.
pentagon
hexagon
octagon
decagon
How many sides does a pentagon have?
A)
B)
C)
D)
4.
m
consecutive angles are supplementary
opposite sides are parallel
opposite angles are supplementary
opposite angles are congruent
The diagonals of a _______ must be congruent.
A)
B)
C)
D)
parallelogram
trapezoid
rhombus
rectangle
6. A trapezoid has bases of length 10 cm. and 14 cm. What is the length of the median of
this trapezoid?
A)
4 cm.
B) 11 cm.
C) 12 cm.
D) 24 cm.
2
7.
What is the sum of the measures of the interior angles of a convex pentagon?
A)
B)
C)
D)
8.
What is the measure of one interior angle of a regular hexagon?
A)
B)
C)
D)
9.
12.
30
60
75
9
30
x
y
29
79
101
111
65
36
A triangle has sides of length 3 and 7. The third side of this triangle must be between
_____ and _____ .
A) 1 & 10
B) 3 & 7
C) 7 & 10
D) 4 & 10
In similar polygons, corresponding angles are congruent and corresponding sides are
_____.
A)
B)
C)
D)
13.
x
Find the value of y in the diagram.
A)
B)
C)
D)
11.
60
120
180
720
Find the value of x in the diagram.
A)
B)
C)
D)
10.
108
180
540
900
congruent
oblique
in proportion
unimportant
Find the value of x.
A)
B)
C)
D)
8/3
5
6
8
9
6
x
4
3
14.
A)
B)
C)
D)
15.
5
Find the value of x.
7.5
8
11
12.5
4
x
10
In the diagram, b = 12 and c = 15. Find a.
A)
B)
C)
D)
9
10
19.2
20
c
a
b
16.
In the diagram, YZ = 2 10 . Find the length of XZ .
A)
Y
10
B) 2 5
C ) 2 10
D ) 2 20
17.
X
In the diagram, ST = 9 3 . Find SR.
45
Z
S
A) 9
B ) 27
C) 9 6
D ) 18 3
R
6
0
T
18.
Use triangle DEF to state the ratio cosine F in terms of side lengths d, e, and f.
E
A) f/d
B) f/e
d
f
C) e/d
D) e/f
19.
Use triangle DEF to express tan F as a reduced fraction. D
A)
B)
C)
D)
3/4
3/5
4/5
4/3
F
e
E
60
36
D
48
F
4
20.
A secant is a line that intersects a circle in exactly _____ points.
A)
B)
C)
D)
21.
0
1
2
3
Name a chord of the given circle.
T
A) RS
R
S
B ) US
C ) SU
U
D ) ST
22.
In the diagram, m BD = 150 and mA  40 . Find m BC.
A)
B)
C)
D)
D
55
70
75
80
O
C
A
B
23.
In the diagram, m DB = 32 and m EA = 88. What is the measure of  ECA ?
A)
B)
C)
D)
28
56
60
120
D
E
C
B
A
24.
D
x
A) 20
B) 40
C) 60
D) 12
25.
A
In the diagram, m AB = 40 and m CD = 80. What is the value of x?
C
In the diagram, m BC = 100 and m CA = 150. What is the value of x?
A)
B)
C)
D)
50
55
75
110
A
C
x
B
B
5
26.
What is the exact value of the circumference of a circle with a radius of 12 ft.?
A) 12  ft.
B) 24  ft.
C) 48  ft.
D) 144  sq. ft.
27. What is the area of a circle with a radius of 8 cm? (Round your answer to the nearest
hundredth.)
A)
B)
C)
D)
28.
25.13
50.27
201.06
804.25
cm.2
cm.2
cm.2
cm.2
In the diagram of circle O, mDOE  150 and OE  2 3 in. What is the exact area of the
shaded region?
D
5

12
B) 5 
C) 6 
D) 12 
A)
29.
O
E
An isosceles right triangle has a leg of length 7 in. What is the area of this right triangle?
49
sq. in.
2
49 2
B)
sq. in.
2
C ) 49 2 sq. in.
D)
49 sq. in.
A)
30.
In the diagram shown,
parallelogram?
A)
B)
C)
D)
TRAC has TR = 5, RA = 6, and RK = 4. What is the area of the
20
24
30
120
A
R
T
K
C
6
31.
The diagonal of a rectangle is 13 cm, and one of its sides is 12 cm. Find the area of the
rectangle.
A)
B)
C)
D)
32.
30 cm.2
60 cm.2
65 cm.2
78 cm.2
A right rectangular prism is shown. If a = 8, b = 15, and c = 10, what is the volume of this
prism?
A) 33
B) 66
C) 120
D) 1200
c
a
b
33.
What is the surface area of the cube shown?
A) 5
B) 25
C) 125
D) 150
34.
In the diagram, the height, h, of the cone is 12 cm. And the radius, r, of the base is 6 cm. What
is the volume of the cone in cubic centimeters?
A)
B)
C)
D)
18
72
144
432
h
r
35.
If the diameter of the sphere shown is 10, what is the exact volume of the sphere?
20

3
100
B)

3
500
C)

3
4000
D)

3
A)
7
36.
Which one of the images can be rotated to match the one on the left?
A)
37.
D)
B)
C)
D)
What is the midpoint of the segment connecting points A( -1, 1) and B( 3, 3)?
A)
B)
C)
D)
39.
C)
Which one of the images can be reflected to match the one on the left?
A)
38.
B)
( 4, 2)
( 2, 1)
( 2, 4)
( 1, 2)
In the diagram, what is the exact distance between points A and B?
A) 10
B) 50
C) 5 2
A
D) 5 3
B
40.
Write the slope-intercept form for the equation of the line that passes through the points
A( 1, 6) and B( -3, -2).
A)
B)
C)
D)
y = 2x + 4
y = 2x - 8
y= -2x + 2
y = -2x + 10
8
41.
Name the transformation that maps XAY  MBZ .
A
A) move
B) reflection
C) rotation
D) translation
X
B
M
Y
42.
The point ( 4, 1) is reflected in the x-axis. What is the image of this point?
A)
B)
C)
D)
( 4, 1)
( -4, -1)
( -4, 1)
( 4, -1)
2
43.
3
Factor 5x y + 15xy.
2
3
A) 5(5x y + 15xy)
B) 15(5xy + 15xy)
2
C) 5xy(xy +3)
D) 15xy(x+y)
44.
2
Factor x +7x+10
A)
B)
C)
D)
45.
2
Factor x - 81
A)
B)
C)
D)
46.
(x-5)(x-2)
(x+5)(x+2)
(x+10)(x+1)
(x+1)(x+10)
(x+9)(x+9)
(x-9)(x-9)
(x+9)(x-9)
(x+81)(x-81)
2
Factor 2x - 50
A) 2(x-5)(x+5)
B) (x+5)(x-5)
C) 2(x+5)(x+5)
2
47.
D) 2x - 50
2
Factor 2x +7x+3
A) (2x+1)(x+3)
B) (2x-1)(x-3)
C) (2x-1)(x+3)
D)(x+1)(x+3)
Z
9
48.
The polygon in the drawing is a regular hexagon with O as its center. What is the value of x?
X
A)
B)
C)
D)
49.
72 degrees
60 degrees
30 degrees
180 degrees
A floor tile is designed with a regular pentagon in the center of the tile with its sides extended.
What is the value of x?
A)
B)
C)
D)
72 degrees
60 degrees
30 degrees
180 degrees
x
50. What is the slope of a line through (-4, 8) (7, -5)?
A)
B)
C)
D)
11/13
11/-13
13/11
-13/11
51. Find the ratio of 6h to 30 minutes.
A)
B)
C)
D)
1:300
12:1
12:5
1:5
52. Which set of lengths cannot form a right triangle?
A)
B)
C)
D)
10, 12, 15
4.5, 6, 7.5
9, 12, 15
18, 24, 30
53. The length of the diagonal of a square is 22. What is the length of each side?
A) 11
B) 11 2
C) 11 3
D) 22 2
10
54. Use your calculator to determine cosine 23 degrees.
A)
B)
C)
D)
 0.921
 1.07
 0.390
 0.424
55. A slide 2.8 m long makes a 29 degree angle with the ground. How high is the top of the slide
above the ground?
A)
B)
C)
D)
1.42 m
2.45 m
1.55 m
1.36 m
56. Find the number of sides of a regular polygon with each interior angle equal to 165 degrees.
A) 20
B) 21
C) 22
D) 24
57. Find the measure of an interior angle of a regular polygon with 8 sides.
A)
B)
C)
D)
120 degrees
135 degrees
90 degrees
180 degrees
58) Find the area of an equilateral triangle with side 4.
A)
B)
C)
D)
3
9
4
2
3
3
3
3
59) A circle has a circumference of 50 m. Find the diameter.
A)
B)
C)
D)
25 m
15.92 m
12.5 m
7.96 m
60) What is the length of AC. A(0,0) C(8,6).
A)
B)
C)
D)
100
1000
1
10