Geometry Spring

NAMEDATEPER.__

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. 108 cm2
B. 180 cm2
A. 72 cm2
B. 144 cm2

______2. / Find the area of the rectangle:
A. 46 cm2
B. 136 cm2
C. 60 cm2
D. 120 cm2

______3. / Find the area of the square:
A. 5 in2
B. 25 in2
C. 50 in2
D. 100 in2

______4. / Find the area of the rhombus:
A. 6 square units
B. 12 square units
C. 24 square units
D. 80 square units

______5. / Find the area of the isosceles trapezoid:
A. 33 square units
B. 64 square units
C. 32 square units
D. 55 square units
______6. / The area of a triangle is 243 in2. If both its length and width are reduced to one-third their original length, what would its new area be?
A. 81 in2
B. 27 in2
C. in2
D. in2
______7. / A trapezoid with a height of 8 ft has bases of lengths 14 ft and 12 ft. Find the area of the trapezoid.
A. 104 ft2
B. 52 ft2
C. 208 ft2
D. 1344 ft2

______8. / Find the area of the regular polygon with the indicated radius:
A. 100 in2
B. 25 in2
C. 50 in2
D. 25 in2
______9. /
The diagonals of a rhombus are 7 cm and 12 cm long. Find the area of the rhombus.
A. 21 cm2
B. 42 cm2
C. 84 cm2
D. 168 cm2

PART 2. AREA & VOLUME OF PRISMS

______10. / The isometric drawing shows a three-dimensional figure composed of cubes.

Which of the following orthogonal views shows the top view of the figure?
A. B. C. D. Not Here

______11. / Which solid corresponds to the net shown?
A. Rectangular Prism
B. Triangular Prism
C. Rectangular Pyramid
D. Triangular Pyramid

______12. / 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. 28
B. 192
C. 768
D. 312
E. 600

______13. / Find the volume of a cube whose edge measures 12 inches.
A. 156 in3
B. 2197 in3
C. 144 in3
D. 39 in3
E. 338 in3
______14. / 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.
A. 828
B. 648
C. 168
D. 480
E. 576

______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. 486 cm2
B. 18 cm2
C. 6 cm2
D. 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 3-dimensional figure.
A. Pentagonal Pyramid
B. Pentagonal Prism
C. Hexagonal Pyramid
D. Hexagonal Prism

______17. / Find the Total Area of the regular triangular pyramid:
A. 672 m2
B. 525 m2
C. 147 m2
D. 42 m2
E. 25 m2

______18. / Find the Volume of the square pyramid:
A. 8 in3
B. in3
C. 16 in3
D. 32 in3

______19. / If the volume of a prism is 360 cubic centimeters. Find its new volume if two dimensions were tripled.
A. 1080 cubic centimeters
B. 2160 cubic centimeters
C. 3240 cubic centimeters
D. 129600 cubic centimeters
______20. / 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. 82p cm
B. 41p cm
C. 82 cm
D. 20.5 cm
______22. / In a given circle, the diameter is 6 m. The circumference of the circle is:
A. 3p m
B. 36p m
C. 9p m
D. 6p m
23. /
Name a diameter,Chord, ecant, Tangent
and Point of Tangency
______24. / In a given circle, the diameter is 12 ft. The area of the circle is:
A. 12p sq ft
B. 6p sq ft
C. 36p sq ft
D. 144p sq ft
______25. / The radius of a circle is 32 cm. Find the EXACT circumference.
A. 64p cm
B. 16 cm
C. 32 cm
D. 32p cm

______26. / What is the EXACT area of circle P?
A. 56.25p square units
B. 225p square units
C. 15p square units
D. 7.5p square units
______27. / The area of a circle is 32p square units. Find its radius in simplest terms.
A. units
B. 4 units
C. 4 units
D. 16 units

______28. / Find the EXACT area of the circle.
A. 25p square inches
B. 12.5p square inches
C. 50p square inches

D. 100p square inches

______29. / Find the area of the shaded region.
A. 256 square units
B. 256 - 64p square units
C. 64p - 256 square units
D. 256 - 16p square units

______30. / AC is a tangent to Circle D at B. DB is a radius. Find the measure of ÐCBD.
A. 30°
B. 60°
C. 90°
D. Cannot be determined

______31. / LN is tangent to circle M. The mÐLMN = 60° and LN = 8. Find the length of MN.
A. 8
B. 8
C. 16
D. 16

______32. / SR and ST are tangent to circle U. RS = 12x + 2 and TS = 62. Find the value of ‘x’.
A. 60
B. 58
C. 10
D. 5

______33. / Find the perimeter of the quadrilateral.
A. 25
B. 28
C. 44
D. 42

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. 350p cubic units
B. 432p cubic units
C. 140p cubic units
D. 288p cubic units
E. None of the above.
______35. / A cylinder has a lateral area of 48p square yards and a height of 6 yards. What is the diameter of the cylinder?

A. 40 yd

B. 12 yd
C. 8 yd
D. 4 yd
E. 2 yd

______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. 325p square units
B. 65p square units
C. 130p square units
D. 18p square units
E. 60p square units

______37. / A cone has a radius of 4 and an altitude of 9. What is its volume?
A. 54p cubic units
B. 96p cubic units
C. 81p cubic units
D. 48p cubic units
E. 60p cubic units
______38. / The lateral area of a right cone is 60p. Its slant height is 5. Find the length of the diameter of its base.
A. 8 units
B. 6 units
C. 12 units
D. 24 units
______39. / The diameter of a sphere is 16 cm. Find its total area.
A. 1024p
B. 256p
C. 324p
D. 162p
E. 18p
______40. / A certain red rubber ball is 12 inches in diameter. Find the volume of the ball.
A. 36p in3
B. 288p in3
C. 144p in3
D. 27p in3
E. 72p in3
______41. / The total area of a sphere is 196p. Find its diameter.
A. 14 units
B. 7 units
C. 3.5 units
D. 98 units
______42. / 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
C.
D.

PART 6. CENTRAL ANGLES, ARCS, & SECTORS

______43. /
In the diagram, the measure of NDM = ?
A. 105°
B. 265°
C. 285°

D. 75°

______44. /
Given that BA is a diameter, find m CA .
A. 73°
B. 107°
C. 28°
D. 58°
______45. / Find m AB.
A. 19°
B. 26°
C. 48°
D. 14°
______46. /
Find m AE.
A. 48°
B. 132°
C. 123°
D. 95°

______47. / If AC = 13 and CD = 5, then find AB.
A. 24
B. 12
C. 2
D.

______48. / Find the value of ‘x’.
A. 48
B. 46
C. 4
D. 6
______49. / Find AC.
A. 7
B. 14
C. 49
D. Cannot be determined

Use the figure below for problems 50. – 55. All answers are rounded to the nearest tenth where necessary.

______50. / Find the circumference of circle O.
A. 14p
B. 49p
C. 7p
D. 14
______51. / Find the area of circle O.
A. 7p
B. 14p
C. 49p
D. 154

______52. / Find the length of MR.
A. 3.7
B. 4.4
C. 31.4
D. 6.1
______53. /
Find the area of DQOM.
A. 98
B. 24.5
C. 35.4
D. 17.7
______54. /
Find the area of sector QOM.
A. 38.5
B. 153.9
C. 19.6
D. 11
______55. / Find the area of the shaded region.
A. 19.6
B. 14
C. 7.1
D. 5.4

PART 7. CIRCLES & ANGLES

Use the figure below for problems 56. – 62.

______56. /
Find m BC.
A. 40°
B. 50°
C. 60°
D. 30°

______57. / Find m EF.
A. 53°
B. 43°
C. 23°
D. 63°

______58. / Find mÐ1.
A. 120°
B. 204°
C. 50°
D. 102°
______59. /
Find mÐ2.
A. 51.5°
B. 90°
C. 76.5°
D. 43°
______60. /
Find mÐ3.
A. 90°
B. 60°
C. 72°
D. 12°
______61. / Find mÐ4.
A. 50°
B. 78°
C. 77°
D. 25°
______62. / Find mÐ5.
A. 106°
B. 53°
C. 50°
D. 78°

______63. / Find the mÐA.
A. 16°
B. 33°
C. 57°

D. 90°

______64. / Find the mÐ1.
A. 104°
B. 14°
C. 284°
D. Cannot be determined

______65. /
Find the value of ‘x’.
A. 17
B. 5
C. 11
D. 4

______66. / Find the value of ‘x’.
A. 2
B. 14
C. 15
D. 28

______67. / Find the value of ‘x’.
A. 8
B. 10
C. 12
D. 17

PART 8. VOCABULARY

______68. / Which of the following terms describes a segment that joins the center of a polygon and a vertex?
A. Apothem
B. Radius
C. Regular Polygon
D. Side
______69. / Which of the following terms best describes a segment with both endpoints on the circle?
A. chord
B. secant
C. tangent
D. point of tangency

______70. / Which of the following terms best describes a line or ray that intersects a circle at exactly one point?
A. chord
B. diameter
C. secant
D. tangent
______71. / Which of the following terms best describes a quadrilateral with 4 right angles and 4 congruent sides
E. square
F. diameter
G. regular polygon
H. triangle
______72. / Which of the following terms best describes a segment connecting the center of a polygon to the midpoint of a side
I. chord
J. diameter
K. apothem
L. tangent line
______73. / Which of the following terms best describes a dimensional figure with 1 base
M. square
N. pyramid
O. apothem
P. triangle
______74. / Which of the following terms best describes a dimensional figure with 2 bases
Q. square
R. triangle
S. prism
T. pyramid
______75. / Which of the following terms best describes lines whose slopes are negative
reciprocals of each other
U. chord
V. diameter
W. secant line
X. perpendicular

______76. / Which of the following terms best describes a segment from the center of a circle to the edge
Y. radius
Z. diameter
AA. apothem
BB. secant
______77. / Which of the following terms best describes a line that touches a circle at only one point
CC. radius
DD. diameter
EE. secant line
FF. tangent line
______78. / Which of the following terms best describes a line that touches a circle at 2 points
GG. chord
HH. diameter
II. secant line
JJ. 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. perpendicular
PP. secant
QQ. parallel
RR. tangent
______81. / Which of the following terms best describes a chord that passes through the center of a circle
SS. radius
TT. diameter
UU. secant
VV. apothem
______82. / Which of the following terms best describes a polygon with 3 sides
WW. square
XX. pyramid
YY. rectangle
ZZ. triangle
______83. / Which of the following terms best describes a polygon with 4 sides
AAA. vertex
BBB. triangle
CCC. quadrilateral
DDD. perpendicular
______84. / Which of the following terms best describes a polygon with all congruent sides and angles
EEE. regular polygon
FFF. triangle
GGG. prism
HHH. pyramid
______85. / Which of the following terms best describes a corner, where 2 rays meet to form an angle
III. parallel
JJJ. vertex
KKK. apothem
LLL. tangent