SPRING FINAL REVIEW
NAME_____________________________________DATE_________________PER._______
GEOMETRY SPRING
FINAL EXAM REVIEW
Find the correct answer for each of the following. Write its corresponding letter on the
blank provided, then transfer your answers to your answer document.
PART 1. AREA OF POLYGONS
______1.
Find the area of the rectangle:
A.
B.
A.
B.
______2.
12 cm
Find the area of the rectangle:
A.
B.
C.
D.
______3.
15 cm
108 cm2
180 cm2
72 3 cm2
144 3 cm2
13 cm
5 cm
46 cm2
136 cm2
60 cm2
120 cm2
Find the area of the square:
10 in.
A.
B.
C.
D.
______4.
Find the area of the rhombus:
A.
B.
C.
D.
______5.
5 2 in2
25 2 in2
50 in2
100 in2
6 square units
12 square units
24 square units
80 square units
L
M
LP = 5
MP = 8
P
O
Find the area of the isosceles trapezoid:
N
12
4
A.
B.
C.
D.
33 square units
64 square units
32 square units
55 square units
20
5
SPRING FINALREVIEW; Pg. 2
______6.
The area of a triangle is 243 in2. If both its length and width are reduced to onethird their original length, what would its new area be?
A. 81 in2
B. 27 in2
1 2
C.
in
3
1 2
D.
in
9
______7.
A trapezoid with a height of 8 ft has bases of lengths 14 ft and 12 ft. Find the
area of the trapezoid.
12
A.
B.
C.
D.
______8.
8
14
Find the area of the regular polygon with the indicated radius:
A.
B.
C.
D.
______9.
104 ft2
52 ft2
208 ft2
1344 ft2
100 in2
25 in2
50 in2
25 2 in2
5 2 in
The diagonals of a rhombus are 7 cm and 12 cm long. Find the area of the
rhombus.
A.
B.
C.
D.
21 cm2
42 cm2
84 cm2
168 cm2
SPRING 2006 FINAL FORM A; Pg. 3
PART 2. AREA & VOLUME OF PRISMS
______10.
The isometric drawing shows a three-dimensional figure composed of cubes.
Front
Which of the following orthogonal views shows the top view of the figure?
A.
______11.
D. Not Here
Rectangular Prism
Triangular Prism
Rectangular Pyramid
Triangular Pyramid
The base of a right prism is a square 6 cm on a side. The height of the prism is
10 cm. The volume is _?_ cm3.
A.
B.
C.
D.
E.
______13.
C.
Which solid corresponds to the net shown?
A.
B.
C.
D.
______12.
B.
28
192
768
312
600
8
8
12
Find the volume of a cube whose edge measures 12 inches.
A.
B.
C.
D.
E.
156 in3
2197 in3
144 in3
39 in3
338 in3
13
13
13
SPRING FINAL REVIEW; Pg. 4
The base of a right prism is a right triangle whose legs are 6 feet and 9 feet long.
The height of the prism is 15 feet. The lateral area is _?_ ft2.
______14.
A.
B.
C.
D.
E.
828
648
168
480
576
12
18
9
______15.
A cube has a volume of 54 square centimeters. Find its volume if one of its
dimensions were reduced to one-third its original length, a second dimension
was reduced to one-ninth its original length, and a third dimension remained
unchanged.
A.
B.
C.
D.
486 cm2
18 cm2
6 cm2
2 cm2
PART 3. AREA & VOLUME OF PYRAMIDS
______16.
Identify the solid formed if this net were folded along the dotted lines to form a 3dimensional figure.
A.
B.
C.
D.
______17.
Pentagonal Pyramid
Pentagonal Prism
Hexagonal Pyramid
Hexagonal Prism
Find the Total Area of the regular triangular pyramid:
24 m (h)
A. 672 3 m2
B. 525 3 m2
C. 147 3 m2
D. 42 3 m2
E. 25 m2
______18.
14 3 m
Find the Volume of the square pyramid:
A. 8 in3
32 3
B.
in
3
C. 16 in3
D. 32 in3
2 2 in
4 in
4 in
SPRING FINAL REVIEW; Pg. 5
______19.
If the volume of a prism is 360 cubic centimeters. Find its new volume if two
dimensions were tripled.
A.
B.
C.
D.
______20.
1080 cubic centimeters
2160 cubic centimeters
3240 cubic centimeters
129600 cubic centimeters
A pyramid that has four vertices and four faces is a triangular pyramid.
TRUE or FALSE
PART 4. CIRCLE BASICS
______21.
In a given circle, the radius is 41cm. The measure of this circle’s diameter is:
A.
B.
C.
D.
______22.
82 cm
41 cm
82 cm
20.5 cm
In a given circle, the diameter is 6 m. The circumference of the circle is:
A.
B.
C.
D.
3 m
36 m
9 m
6 m
Y
23.
Name a diameter,Chord, ecant, Tangent
and Point of Tangency
P
X
R
L
______24.
In a given circle, the diameter is 12 ft. The area of the circle is:
A.
B.
C.
D.
12 sq ft
6 sq ft
36 sq ft
144 sq ft
T
S
M
SPRING FINAL REVIEW; Pg. 6
______25.
The radius of a circle is 32 cm. Find the EXACT circumference.
A.
B.
C.
D.
______26.
64 cm
16 cm
32 cm
32 cm
What is the EXACT area of circle P?
A.
B.
C.
D.
56.25 square units
225 square units
15 square units
7.5 square units
9
P
12
______27.
The area of a circle is 32 square units. Find its radius in simplest terms.
A. 32 units
B. 4 units
C. 4 2 units
D. 16 units
______28.
Find the EXACT area of the circle.
A.
B.
C.
D.
______29.
10 in
16
Find the area of the shaded region.
A.
B.
C.
D.
______30.
25 square inches
12.5 square inches
50 square inches
100 square inches
256 square units
256 - 64 square units
64 - 256 square units
256 - 16 square units
AC is a tangent to Circle D at B. DB is a radius. Find the measure of CBD.
A
A.
B.
C.
D.
30
60
90
Cannot be determined
B
D
C
SPRING FINAL REVIEW; Pg. 7
______31.
LN is tangent to circle M. The mLMN = 60 and LN = 8 3 . Find the length of
MN.
L
A.
B.
C.
D.
______32.
8
8 3
16
16 3
N
M
SR and ST are tangent to circle U. RS = 12x + 2 and TS = 62. Find the value of
R
‘x’.
S
A.
B.
C.
D.
______33.
U
60
58
10
5
T
3
Find the perimeter of the quadrilateral.
8
10
A.
B.
C.
D.
25
28
44
42
6
PART 5. CYLINDERS, CONES, & SPHERES
______34.
A cylinder has a diameter of 10 and a height of 14 The volume of the cylinder is:
A.
B.
C.
D.
E.
______35.
350 cubic units
432 cubic units
140 cubic units
288 cubic units
None of the above.
10 m
14 m
A cylinder has a lateral area of 48 square yards and a height of 6 yards. What
is the diameter of the cylinder?
A.
B.
C.
D.
E.
40 yd
12 yd
8 yd
4 yd
2 yd
SPRING FINAL REVIEW; Pg. 8
______36.
Find the lateral area of a right cone that has a slant height of 13 and the base
has a radius of 5.
A.
B.
C.
D.
E.
______37.
54 cubic units
96 cubic units
81 cubic units
48 cubic units
60 cubic units
9
4
8 units
6 units
12 units
24 units
The diameter of a sphere is 16 cm. Find its total area.
A.
B.
C.
D.
E.
______40.
5
The lateral area of a right cone is 60. Its slant height is 5. Find the length of the
diameter of its base.
A.
B.
C.
D.
______39.
13
A cone has a radius of 4 and an altitude of 9. What is its volume?
A.
B.
C.
D.
E.
______38.
325 square units
65 square units
130 square units
18 square units
60 square units
1024
256
324
162
18
16 m
A certain red rubber ball is 12 inches in diameter. Find the volume of the ball.
A.
B.
C.
D.
E.
36 in3
288 in3
144 in3
27 in3
72 in3
SPRING FINAL REVIEW; Pg. 9
______41.
The total area of a sphere is 196. Find its diameter.
A.
B.
C.
D.
______42.
14 units
7 units
3.5 units
98 units
The volume of a cylinder is 216 cm3. If its dimensions are reduced to one-sixth
their original length, by what factor will its volume be affected?
A. 6
B. 1
1
C.
6
1
D.
216
PART 6. CENTRAL ANGLES, ARCS, & SECTORS
______43.
M
In the diagram, the measure of NDM = ?
75
A.
B.
C.
D.
______44.
N
O
D
B
Given that BA is a diameter, find m CA .
A.
B.
C.
D.
______45.
105
265
285
75
73
107
28
58
P
(4x – 5)
C
A
(2x+ 17)
Find m AB.
B
A
A.
B.
C.
D.
19
26
48
14

(3x)
K
(2x + 5)
(5x + 15)
______46.
C
Find m AE.
E
A.
B.
C.
D.
48
132
123
95
D
Use for 45 & 46.
(AD & EB are diameters)
______47.
B
A
If AC = 13 and CD = 5, then find AB.
D
A. 24
B. 12
C. 2 194
D. 194
______48.
Find the value of ‘x’.
C
20
110
A. 48
B. 46
C. 4
2
D. 6
3
34
12x – 2
46
110
78
120
D
______49.
Find AC.
A.
B.
C.
D.
7
14
49
Cannot be determined
7
E
A
O
F
B
C
Use the figure below for problems 50. – 55. All answers are rounded to the nearest
tenth where necessary.
Q
______50.
Find the circumference of circle O.
A.
B.
C.
D.
______51.
O
7
14
49
154
Find the length of MR.
A.
B.
C.
D.
3.7
4.4
31.4
6.1
M
30
60
R
Find the area of circle O.
A.
B.
C.
D.
______52.
14
49
7
14
S
OM = 7
SPRING FINAL REVIEW; Pg. 11
______53.
Find the area of QOM.
A.
B.
C.
D.
98
24.5
35.4
17.7
Q
______54.
Find the area of sector QOM.
A.
B.
C.
D.
______55.
38.5
153.9
19.6
11
O
R
Find the area of the shaded region.
A.
B.
C.
D.
M
30
60
19.6
14
7.1
5.4
S
OM = 7
PART 7. CIRCLES & ANGLES
Use the figure below for problems 56. – 62.
______56.
Find m BC.
A.
B.
C.
D.
______57.
Find m EF.
A.
B.
C.
D.
______58.
40
50
60
30
53
43
23
63
Find m1.
A.
B.
C.
D.
120
204
50
102
B
A
1
3
G
F
5
2
H
4
J
C
K 6
E
D
Use for problems 56- 62.
F and B are points of
tangency.
m AB = 60, m CD = 70,
m AF = 43, and m ED = 84.
AD is a diameter.
SPRING FINAL REVIEW; Pg. 12
______59.
Find m2.
A.
B.
C.
D.
______60.
51.5
90
76.5
43
Find m3.
B
A
A.
B.
C.
D.
______61.
1
90
60
72
12
3
G
F
5
2
H
Find m4.
4
J
C
K 6
E
A.
B.
C.
D.
______62.
Use for problems 56- 62.
F and B are points of
tangency.
m AB = 60, m CD = 70,
m AF = 43, and m ED = 84.
AD is a diameter.
106
53
50
78
Find the mA.
A.
B.
C.
D.
______64.
D
Find m5.
A.
B.
C.
D.
______63.
50
78
77
25
16
33
57
90
(3x + 6)
B
(6x + 3)
C
A
Find the m1.
1
A.
B.
C.
D.
104
14
284
Cannot be determined
76
SPRING FINAL REVIEW; Pg. 13
______65.
Find the value of ‘x’.
11
3
A.
B.
C.
D.
______66.
17
5
11
4
x
3
Find the value of ‘x’.
x
2
A.
B.
C.
D.
______67.
2
14
15
28
4
4
12
Find the value of ‘x’.
8
A.
B.
C.
D.
8
10
12
17
x
PART 8. VOCABULARY
______68.
Which of the following terms describes a segment that joins the center of a
polygon and a vertex?
A.
B.
C.
D.
______69.
Apothem
Radius
Regular Polygon
Side
Which of the following terms best describes a segment with both endpoints on
the circle?
A.
B.
C.
D.
chord
secant
tangent
point of tangency
SPRING FINAL REVIEW; Pg. 14
______70. Which of the following terms best describes a line or ray that intersects a circle at
exactly one point?
A.
B.
C.
D.
chord
diameter
secant
tangent
Which of the following terms best describes a quadrilateral with 4 right angles and
______71. 4 congruent sides
E.
F.
G.
H.
square
diameter
regular polygon
triangle
Which of the following terms best describes a segment connecting the center of a
______72. polygon to the midpoint of a side
I.
J.
K.
L.
chord
diameter
apothem
tangent line
Which of the following terms best describes a dimensional figure with 1 base
______73.
M.
N.
O.
P.
square
pyramid
apothem
triangle
Which of the following terms best describes a dimensional figure with 2 bases
______74.
Q.
R.
S.
T.
square
triangle
prism
pyramid
Which of the following terms best describes lines whose slopes are negative
______75. reciprocals of each other
U. chord
V. diameter
W. secant line
X. perpendicular
SPRING FINAL REVIEW; Pg. 15
Which of the following terms best describes a segment from the center of a circle
______76. to the edge
Y.
Z.
AA.
BB.
radius
diameter
apothem
secant
Which of the following terms best describes a line that touches a circle at only one
______77. point
CC.
DD.
EE.
FF.
radius
diameter
secant line
tangent line
______78. Which of the following terms best describes a line that touches a circle at 2 points
GG.
HH.
II.
JJ.
chord
diameter
secant line
tangent line
______79. Which of the following terms best describes a segment inside a circle that touches
the edge at 2 points
KK. chord
LL.
vertex
MM. secant
NN. tangent
______80.
Which of the following terms best describes lines with equal slopes
OO.
PP.
QQ.
RR.
perpendicular
secant
parallel
tangent
______81. Which of the following terms best describes a chord that passes through the
center of a circle
SS.
TT.
UU.
VV.
radius
diameter
secant
apothem
SPRING FINAL REVIEW; Pg. 16
______82. Which of the following terms best describes a polygon with 3 sides
WW.
XX.
YY.
ZZ.
square
pyramid
rectangle
triangle
______83. Which of the following terms best describes a polygon with 4 sides
AAA.
BBB.
CCC.
DDD.
vertex
triangle
quadrilateral
perpendicular
______84. Which of the following terms best describes a polygon with all congruent sides
and angles
EEE.
FFF.
GGG.
HHH.
regular polygon
triangle
prism
pyramid
______85. Which of the following terms best describes a corner, where 2 rays meet to form
an angle
III.
JJJ.
KKK.
LLL.
parallel
vertex
apothem
tangent