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Geometry EOC Review
1. The equation of line m is y =
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1
x+2
3
a. Write the equation of a line parallel to line m that goes
through point (5, -3).
b. Write the equation of a line perpendicular to line m
that goes through point (2, 7)
9. The coordinates of the endpoints of side FA are
F(3, -1) and A(-3, -3). Side FA is one of four sides on
square FAME. What is the area of square FAME?
10. Find the area of the composite figure below.
#’s 2-8 Use the figure below to answer each question.
11. Find the volume of the square pyramid below.
2. ∠ABD ≅ ∠HFG , which theorem or postulate
justifies the conclusion that AC EG ?
3. If AC EG , what is the reason ∠EFH ≅ ∠ABF ?
4. If AC EG , what is the reason
m∠DBC + m∠GFH = 180° ?
12. A square pyramid has a volume of 179 cubic
centimeters and a height of 11 centimeters. What is the
approximate length of each side of the base?
5. What is the reason m∠ABD + m∠ABF = 180° ?
6. What is the reason ∠BFG ≅ ∠EFH ?
7. If m∠ABF + m∠BFE = 180 , what is the reason
AC EG ?
8. If ∠CBF ≅ ∠EFB , what is the reason AC EG ?
13. Find the volume of the cylinder below. Leave
answers in terms of π.
Geometry EOC Review
14. A tree casts a shadow 50m long. The distance from
the top of the tree to the end of the shadow is 50m long.
How tall is the tree? Round to the nearest tenth.
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18. A triangle has vertices at J(-6, 9), O(-9, 6), and
Y(-3, 3). What are the coordinates of each vertex if the
triangle is:
a) Reflected over the x-axis?
b) Reflected over the y-axis?
15. Find the value of a in the triangle below. Leave
answer in simplified radical form.
19-22. Identify the theorem, if any, which can be used
to prove the triangles congruent (SSS≅
≅, SAS≅
≅,
ASA≅
≅, AAS≅
≅, HL≅
≅). If they are congruent, then
write the congruence statement that describes the
triangles ( ∆ ___ ≅ ∆ ___ ).
19.
16. Solve for x. Round to the nearest tenth.
20.
21.
17. Elly and Jeff are on opposite sides of a canyon that
runs east to west, according to the graphic. They want to
know how wide the canyon is. Each person stands 10
feet from the edge. Then, Elly walks 24 feet west, and
Jeff walks 360 feet east. What is the width of the
canyon?
22.
Geometry EOC Review
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23-25. For each polygon listed find each measure:
a) The sum of the interior angles
b) Each interior angle
c) The sum of exterior angles
d) Each exterior angle
23. Decagon
29. Name 3 other quadrilaterals that are also
parallelograms.
30. Name 1 other quadrilateral that is a rhombus.
31. Find the other three angles on isosceles trapezoid
RSTV
T
S
24. Heptagon
123°
V
R
32. To the nearest tenth of a foot, how tall is a building
100 feet away (d = 100) if the top of the building is
sighted at a 20° angle (n = 20)?
25. 24-gon
26 – 28, solve for x. Round lengths to the nearest
tenth, round angles to the nearest degree.
26.
33. Find the measure of x.
27.
10
24
x°
x
x°
7
53°
28.
x
34°
34. Find the perimeter of the rhombus below. Round
answer to the nearest hundredth.
D
G
15
5
C
12
H
Geometry EOC Review
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35. Find the perimeter of the kite below. Round answer
to the nearest hundredth.
B
41. Find m∠CBA .
A
77°
X
C
8
W
112°
V 6
12
Y
D
8
Z
36. What is the equation of a circle with center (-4, 5)
and diameter 12.
42-43. Find the length of a. Round answers to the
nearest tenth.
42.
8
8
a
6
37-38. What is the center and radius of a circle with
each equation.
37. x 2 + y 2 = 45
43.
38. x 2 + y 2 − 14 x + 4 y = −49
10
4
a
44. Find the measure of ∠SGI
39-40. Use the picture below to answer the questions.
A
4
C
5
E
9
D
B
39. To the nearest tenth, find the length of DC .
45. Find the measure of the intercepted arc, KM.
40. If AC is 33° and DB is 45°, find the m∠BEC .
Geometry EOC Review
46. Find the length of CD .
13
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50. A spinner numbered 1-12 is spun twice, what is the
probability 7 is spun both times? Write your answer as a
fraction.
47. Find the measure of ∠C and ∠A if m∠B = 12° .
51. The cafeteria offers 5 different sandwiches.
a) How many possible sandwich orders can you order
during a 4-day period?
48. A square is inscribed in a circle. The side length of
the square is 4 centimeters. Calculate the area of the
shaded region. Leave your answer in terms of π.
b) If you wanted a different sandwich each day, how
many orders can you make during a 4-day period?
52. You randomly choose a block from each set in the
diagram. What is the probability that you will choose a
block labeled with a T or a block labeled with a 6? Write
your answer as a fraction.
49. What is the area of sector COD. Leave your answer
in terms of π.
16
53. A store is having a grand opening sale. To attract
customers, the manager plans to randomly choose one of
the first 50 customers opening day for a prize. If you
and a friend are among the first 50 customers, what is
the probability that one of you will win the prize? Write
your answer as a fraction.
Geometry EOC Review
54. The two-way frequency table shows the number of
students from each grade who plan to attend this year’s
homecoming football game.
Suppose a student was selected at random. What is the
probability that the student is a sophomore or is
attending the homecoming game? Round to the nearest
tenth of a percent.
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