EOC Geometry Review Exam #2
1.
2.
 A)
XL:LM = YZ:XZ
 B)
XM:XZ = XY:XL
 A) 42 cm
 C)
XM:XZ = XL:XY
 B) 21 cm
 D)
XL:LY = XZ:MZ
 C) 36 cm
 D) 24 cm
G.3.B
3. Fill in the missing pieces to complete the proof.
M at h Com poser 1. 2. 3
ht t p: / / www. m at hcom poser . com
Given: AB is parallel to DE Prove: ACB  ECD
M at h Com poser 1. 2. 3
ht t p: / / www. m at hcom poser . com
B
A
G.3.B
4. Find the approximate height of the building if a wire
is connected to the top of the building is 450 ft and the
distance from the building to the wire is 200 ft.
Length of the wire
from the top of the
building is 450 ft
C
E
D
Statements
M at h Com poser 1. 2. 3
ht t p: / / www. m at hcom poser . com
1. AB is parallel to DE
Reasons
1.
 A) 492.4 ft
200 ft
 B) 300 ft
2. BAC =  CED
2.
3.
3. Vertical Angles
4. ACB  ECD
4.
 C) 403.1 ft
 D) 300 ft
G.3.D
G.1C
EOC Geometry Review Exam #2
Page 1
EOC Geometry Review Exam #2
5. Sarah got stuck on top of the 45 foot tall tree and the
fireman had to use a ladder to get her down from the
tree. If the ladder was 35 feet from the bottom of the
tree, approximately how long was the ladder that was
used to get Sarah down from the tree?
6. Find the value for x.
15cm
X
250
 A) 13.59 cm
 B) 6.34 cm
 C) 35.49 cm
 D) 16.55 cm
 A) 28.3 ft
 B) 57 ft
 C) 40.3 ft
 D) 35 ft
G.3.D
7. Which triangles shown below is a triangle?
A)
G.3.E
8. Find the value for X.
B)
2 in
X
13 in
10ft
4ft
38ft
11 in
3ft
C)
D)
4cm
650
13cm
1cm
10cm
2cm
15cm
A
 B) 16.06 ft
B
 C) 17.72 ft
C
D
EOC Geometry Review Exam #2
 A) 34.44 ft
 D) 81.49 ft
G.3.A
G.3.E
Page 2
EOC Geometry Review Exam #2
9. Find the value for x.
10. Find the value of x.
25 ft
4x
X0
15 ft
1200
 A) 36.870
2x + 60
 A) 210
 B) 53.130
 B) 190
 C) 30.960
 C) 90
 D) 500
 D) 430
G.3.E
G.3.A/G.2.B
12. Using the drawing of DEF below, find the measure
of  7.
11. Find the value for X.
2x
D
350
x
3x
9
E
F
 A) 550
 A) 300
 B) 1000
 B) 290
 C) 1250
 C) 70
 D) 800
 D) 430
G.3.A/G.2.B
EOC Geometry Review Exam #2
7
x-20
G.3.A/G.2.B
Page 3
EOC Geometry Review Exam #2
13. Given that m1 = 1100, which statements must be
true if y ll z?
14. Parallel lines l and m are cut by transversal t, m4 =
m5 , and m6 = m7. What is the measure of 8?
 A) m7 = 1100
 B) m5 = 1100
 A) 650
 C) m6 = 800
 D) m8 = 100
 B) 1200
0
 C) 450
 D) 900
G.2.B
G.3.A/G.2.B
15. Which of the following is the measure of the
supplement of CAB?
16. What is the value of Z?
 A) 2 3
 A) 900
 B) 8 2
 B) 1420
 C) 1320
 C) 2 2
 D) 420
 D) 4 2
G.3.A/G.2.B
EOC Geometry Review Exam #2
G.3.C
Page 4
EOC Geometry Review Exam #2
17. The ABC is an equilateral triangle with side lengths of
10 inches. What is the exact length, in inches, of AD?
18. Which postulate does not prove these triangles congruent
from the information shown?
 A) 2 3
 A) SSS
 B)
 B) ASA
10 3
3
 C) SAS
 C) 5 2
 D) HL
 D) 5 3
G.3.C
19. Prove that ABC  EDC given that
AB DE
Math Composer 1.2.3
http://www.mathcomposer.com
BC  DC and
G.3.B
20. Prove that ABC  CDA given that
A
AB DC
D
AB  DC and
B
A
C
G.1.C/G.3.B
E
G.1.C/G.3.B
B
D
C
Statement
Reason
Statement
Reason
1.
1. Given
1.
1. Given
2. AB DE
2.
2. AB DC
2.
3.
3. Alternate Interior
Angles are congruent.
3.
3. Alternate Interior
Angles are congruent.
4. ACB  ECD
4.
4.
4.
5. ABC  CDA
5.
5. ABC  CDA
5.
EOC Geometry Review Exam #2
Page 5
EOC Geometry Review Exam #2
21. Prove that the two triangles are either similar,
congruent, or neither using two-column proofs.
22. If KLMN is a rhombus, and mKLM = 800, what is
the measure of 1?
G.1.C/G.3.B
Statements
Reasons
1.
1.
 A) 400
2.
2.
 B) 500
3.
3.
 C) 800
4.
4.
 D) 900
G.3.F/G.3.A
23. Given: ABCD is an isosceles trapezoid. M is the midpoint of AB . Prove DM  CM .
What is the missing statement and reason that completes the proof shown above?
 A) AD 
BC ; the legs of an isosceles trapezoid are congruent
 B) MAD  MBC; the base angles of an isosceles trapezoid are congruent
 C) AM  BM ; the corresponding parts of congruent triangles are congruent.
G.1.C/G.3.B
 D) ABC  DAB; if lines are parallel, interior angles on the same side of a transversal are supplementary.
EOC Geometry Review Exam #2
Page 6
EOC Geometry Review Exam #2
24. If PQRS is a rhombus, which statement must be
true?
25. Two parallel sections of pipe are joined with a
connecting pipe as shown. What is the value of x?
 A) 1150
 A) PSR is a right angle
 B) 450
 B) PR  QS
 C) 1350
 C) PQR  QRS
 D) 900
 D) PQ  QR
G.3.F
26. In the parallelogram below, mABC = 700. Find
mACD.
27. In the parallelogram below, WV = 5x + 2 and
YV = -x + 20. Find WY.
 A) 17
 A) 310
 B) 20
 B) 350
 C) 34
 C) 450
 D) 50
 D) 270
G.3.F/G.2.B
EOC Geometry Review Exam #2
G.3.B
G.3.F
Page 7
EOC Geometry Review Exam #2
28.
G.4.B
29.
G.4.B/G.4.C
EOC Geometry Review Exam #2
Page 8
EOC Geometry Review Exam #2
30. Use the graph below; determine which order pair
will construct a line that is parallel to line QR . Select
which two points will construct a line that is parallel to
QR
31. The coordinates of the vertices of triangle SYE are
S(-2,-4); Y(2, -1), and E(8,-9). Draw the line segments
between the vertices of the triangle. Using coordinate
geometry, prove what type of triangle that SYE
constructs.
M at h Com poser 1. 2. 3
ht t p: / / www. m at hcom poser . com
5
y
4
3
2
1
-5
-4
-3
-2
-1
x
1
2
3
4
5
6
7
8
9
10
-1
Y (2,-1)
-2
-3
-4
S (-2,-4)
-5
-6
-7
-8
-9
E(8,-9)
-10
 A) (1, 1) and (2, -1)
 B) (2, 1) and (-2,-1)
G.4.B/G.4.C
 C) (-1, -1) and (-2, -3)
 A) Isosceles Triangle; Why _______________________
 D) (1, 4) and (5, 2)
 B) Scalene Triangle; Why ________________________
G.4.B
 C) Right Triangle; Why __________________________
 D) Isosceles Right Triangle; Why __________________
32. Points X, Y, and Z are collinear. Y is the midpoint
of XZ . The coordinates of point X are (-4, 5). The
coordinates of point Z are (8,-3). Determine the
coordinates of point Y. Write your answer on the line.
G.4.B
33. In the figure below, the diagonals of parallelogram
ABCD intersect at (5, 2).
G.3.F/G.4.C
What are the coordinates of point C?
 A) (7, 3)
 B) (8, 3)
 C) (9, 4)
What are the coordinates of point Y? (_____, _____)
EOC Geometry Review Exam #2
 D) (10, 4)
Page 9
EOC Geometry Review Exam #2
34. Find the perimeter in feet.
35. Cube A has side lengths that are two times as long
as the sides of cube B. What is the volume of Cube A if
Cube B’s volume is 40 cubic inches?
1 foot = 12 inches
1meter = 100 cm
1 inch = 2.54 cm
A
B
 A) 82.02 ft
 A) 80 cubic inches
 B) 68.90 ft
 B) 160 cubic inches
 C) 32.81 ft
 C) 240 cubic inches
 D) 21 ft
G.6.F
 D) 320 cubic inches
G.6.D
36. If it took 15 gallons of gasoline to fill up your 1967
Mustang, how many liters would it take you to fill up
your car?
37. Grand Coulee Dam is made of about 10, 585, 000
cubic yards of concrete. Which of the following would
give the total amount of concrete in cubic feet?
1 gallon = 3.79 liters 1
liter = 1000 milliliters
1 yard = 3 feet
 A) 3.96 liters
 B) 10, 585, 000  27
 B) 3960 liters
 C) 10, 585, 000 x 9
 C) 56.85 liters
 D) 5685 liters
 A) 10, 585, 000 x 27
 D) 10, 585, 000  9
38. A house is 32 feet wide and 60 feet long. If a sketch
is made of the house using the scale 1 cm: 4 ft, what are
the dimensions of the sketch?
39. What is the area of the regular hexagon shown
below?
 A) 48 3
 A) 8 ft x 15 ft
 B) 8 cm x 15 cm
 B) 384 3
 C) 256 ft x 480 ft
 C) 192 3
 D) 256 cm x 480 cm
EOC Geometry Review Exam #2
G.6.D
G.6.F
G.6.F
 D) 93 2
G.6.C/G.3.C/G.3.G
Page 10
EOC Geometry Review Exam #2
40. If the exterior angle of a regular octagon is 45
degrees, what is the measure of an interior angle of an
octagon?
41. What is the sum of interior angles of a regular
hexagon?
 A) 3600
 A) 3600
 B) 450
 B) 7200
 C) 1350
 C) 1200
 D) 10800
G.3.G
42. Which of the following statements is true?
 A) A postulate is a proven fact using theorems, definitions,
and undefined terms.
 B) Inductive reasoning uses facts, definitions, and accepted
properties in logical order to present a convincing argument.
 C) A theorem is a proven fact using postulates, definitions,
and undefined terms.
 D) A conjecture is a proven statement that is based on
observations.
G.1.A/G.1.C/G.1.D
44. Which term best defines the type of reasoning used
below?
“Abdul broke out in hives the last four times that he
ate chocolate candy. Abdul concludes that he will break
out in hives if he eats chocolate.”
 B) Inverse
43. Which of the following is the contrapositive of the
conditional statement: “If a tabletop is a rectangle, then
its diagonals are congruent”
 A) If a tabletop is not a rectangle, then its diagonals are not
congruent.
 B) If its diagonals are not congruent, then the tabletop is
not a rectangle.
 C) If its diagonals are congruent, then the tabletop is a
rectangle.
 D) If its diagonals are not congruent, then the tabletop is
not a rectangle.
G.1.D
45. Which of the following is the inverse of the
conditional statement: “If a quadrilateral is a kite, then
its diagonals are perpendicular”
 A) If a quadrilateral is not a kite, then its diagonals are
perpendicular.
 C) If its diagonals are perpendicular, then the
quadrilateral is a kite.
 C) Deductive Reasoning
EOC Geometry Review Exam #2
G.3.G
 B) If its diagonals are not perpendicular, then the
quadrilateral is not a kite.
 A) Inductive Reasoning
 D) Conditional Statement
 D) 10800
G.1.A/G.1.C/G.1.D
 D) If a quadrilateral is not a kite, then its diagonals are not
perpendicular.
G.1.D
Page 11
EOC Geometry Review Exam #2
46. Which is the correct construction of a
perpendicular bisector?
47. Which is the correct construction of a line segment
parallel to AB passing through point C?
G.2.C
G.2.C
48. Complete the following statements:
a. The ceiling and floor of your kitchen are examples
of ______________ planes.
b. A wall and the floor of your kitchen are examples of
________________ planes.
G.2.D
49. Complete the following statement: Two lines that do
not lie in the same plane are called _____________lines.
 A) Coplanar
 B) Parallel
 C) Skew
 D) Collinear
G.2.D
50. Find the area of the sector in circle P if PA = 10
and mAPB = 360.
51. In circle P, find the area of the shaded region. Use
an approximate value of 3.14 for .
 A) 10
 A) 3.14 square units
 B) 20
 B) 4.56 square units
 C) 6.28 square units
 C) 36
 D) 9.62 square units
 D) 72
G.6.A
EOC Geometry Review Exam #2
G.3.H/G.6.A
Page 12
EOC Geometry Review Exam #2
52. In circle Q, find the measure of arc ADB.
53. Which answer choice shows, in the correct order,
the transformations needed to go from ABCD to
A’B’C’D’?
 A) 420
 B) 1380
 A) Rotation and a translation
 C) 2220
 B) Reflection
 D) 3180
G.3.H
 C) Rotation
 D) Translation
G.5.B/G.5C
54. Which answer choice shows, in the correct order,
the transformations needed to go from A’B’C’D’ to
A”B”C”D”?
55. The point (-2, -8) is reflected over the line y=-1.
What are the coordinates of P’? Use graph to help you if
necessary.
 A) Rotation and a Translation
 A) (-2, 8)
 B) Reflection and a Rotation
 B) (2, 8)
 C) Translation and a Reflection
 C) (2, -9)
 D) Rotation and a Reflection
EOC Geometry Review Exam #2
G.5.B/G.5C
 D) (-2, 6)
G.5.B/G.4.B
Page 13
EOC Geometry Review Exam #2
56. What is the volume of a Mountain Dew can if its
diameter at the top is 5 cm and the height of the can is 5
centimeters?
57. What is the volume of the cone shown below?
 A)
 A) 125 cubic centimeters
16
 cubic inches
3
 B) 16 cubic inches
 B) 10 cubic centimeters
 C)
 C) 31.25 cubic centimeters
 D) 50 cubic centimeters
G.6.C
58. What is the surface area of the following pyramid?
4
 cubic inches
3
 D) 4 cubic inches
G.6.C
59. If the volume of a rectangular prism is 420.75 cubic
centimeters and the area of the base is 49.5 square
centimeters, what is the height of the prism in
centimeters?
20 cm
12 cm
24 cm
24 cm
 A) 1080 square cm
 A) 4.5 cm
 B) 1536 square cm
 B) 8.5 cm
 C) 2880 square cm
 D) 2496 square cm
 C) 11.0 cm
G.6.C
 D) 15.5 cm
G.6.C
60. Write an equation for a circle with a radius of 2
units and center at (1, 3)
 A) (x – 1)2 + (x – 3) 2 = 4
 B) (x – 1) 2 + (x – 3) 2 = 2
 C) (x + 1) 2 + (x + 3) 2 = 4
 D) (x + 1) 2 + (x + 3) 2 = 2
EOC Geometry Review Exam #2
G.4.D
Page 14