Free Printable Geometry EOC Review

1.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

2.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

3.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

4.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

5.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

6.

A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?

a)

The perimeter of the new triangle is ⅓ that of the original triangle

b)

The perimeter of the new triangle is 3 times that of the original triangle.

c)

The perimeter of the new triangle is 1/9 that of the original triangle.

d)

The perimeter of the new triangle is 9 times that of the original triangle

7.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

8.

Choose ALL the degrees of rotation that will map a regular hexagon onto itself.

a)

90

b)

120

c)

150

d)

240

e)

300

9.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

10.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

11.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

12.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

13.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

14.

Find the measure of arc QR

a)

106

b)

85

c)

113

d)

78

15.

Solve for x.

a)

6

b)

8

c)

10

d)

12

16.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

17.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

18.

Cylinders A and B have the same height. The radius of cylinder A is twice the radius of cylinder B.

a)

Cylinder A has 1/2 the volume of cylinder B.

b)

Cylinder A has twice the volume of cylinder B.

c)

Cylinder A has 4 times the volume of cylinder B.

d)

Cylinder A has 8 times the volume of cylinder B.

19.

Write the equation of the circle on the graph.

a)

(x + 2)^2 + (y - 5)^2 = 9

b)

(x - 2)^2 + (y + 5)^2 = 9

c)

(x - 2)^2 - (y + 5)^2 = 9

d)

(x + 2)^2 - (y - 5)^2 = 9

20.

What is the measure of arc AC in the figure if angle AOC is 56 degrees?

a)

112 degrees

b)

56 degrees

c)

28 degrees

d)

none of these

21.

Find the volume if the height is 10 inches?

a)

3π in³

b)

9π in³

c)

30π in³

d)

90π in³

22.

Find the volume of each sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

4.9 in³

b)

13.2 in³

c)

9.2 in³

d)

10.7 in³

23.

Find the volume.

a)

V = 1800 mm³

b)

V = 600 mm³

c)

V = 900 mm³

d)

V = 1200 mm³

24.

a)

120π in³

b)

30π in³

c)

480π in³

d)

60π in³

25.

a)

Can A's volume is greater by 13.5 cubic inches

b)

Can A's volume is greater by 13.5π cubic inches

c)

Can A's volume is greater by 42 cubic inches

d)

Can B's volume is greater by 40.5π cubic inches

26.

What is the equation of a circle whose center is at (4,5) and whose radius is 6

a)

(x+4)² + (y+5)² = 6

b)

(x-4)² + (y-5)² = 36

c)

(x+4)² + (y+5)² = 36

d)

(x-4)² + (y-5)² = 6

27.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

28.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

29.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

30.

a)

A

b)

B

c)

C

d)

D

31.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

32.

Find the length of the bold arc.

a)

61.3ft

b)

20.4ft

c)

7351.3ft

d)

22,068ft

33.

Find the area of the shaded region.

a)

144π - 288 cm²

b)

72π - 144 cm²

c)

144π - 72 cm²

d)

144π - 360 cm²

34.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

35.

a)

The volume increases by a factor of 8.

b)

The volume increases by a factor of 27.

c)

The volume increases by a factor of 64.

d)

The volume increases by a factor of 16.

36.

Lines AO and BO are tangent. What is the measure of BO?

a)

20

b)

15

c)

10

d)

5

37.

What congruency postulate proves the triangles congruency?

a)

SAS

b)

ASA

c)

SSS

d)

HL

38.

a)

3

b)

43.5

c)

66

d)

87

39.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

40.

What property states that if

a = b and b = c then a = c?

a)

Equality Property

b)

Reflexive Property

c)

Transitive Property

d)

Associative Property

41.

What property states that something is congruent to itself?

a)

Symmetry Property

b)

Congruence Property

c)

Reflexive Property

42.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

43.

If X is between R & T on a line,
then RX + XT = RT

a)

Addition POE

b)

Substitution POE

c)

Angle Addition Post.

d)

Segment Addition Post.

44.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

45.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

46.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

47.

Which transformation will result in being similar to the original figure but has a larger area?

a)

Dilation with scale factor of 2

b)

Dilation with scale factor of 1

c)

Dilation with scale factor of .5

d)

Translation

48.

Reflect (3,5) over the x-axis.

a)

(2,2)

b)

(3,-5)

c)

(-3,-5)

d)

(-3,5)

49.

A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?

a)

The perimeter of the new triangle is ⅓ that of the original triangle

b)

The perimeter of the new triangle is 3 times that of the original triangle.

c)

The perimeter of the new triangle is 1/9 that of the original triangle.

d)

The perimeter of the new triangle is 9 times that of the original triangle

50.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

51.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

a)

(5,3), (6,2), (1,-2)

b)

(6,0), (9,-3), (-6,-15)

c)

(2/3,0), (1,-1/3), (-2/3,-5/3)

d)

(-1,-3), (0,-4), (-5,-8)

52.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

53.

Solve for x.

a)

9

b)

-7

c)

4

d)

6

54.

Solve for x.

a)

4

b)

11

c)

9

d)

7

55.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

56.

Solve for x.

a)

3

b)

6

c)

8

d)

9

57.

Solve for x.

a)

x = 5

b)

x = 3

c)

x = 14

d)

x = 1

58.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

59.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

60.

Find the measure of arc QR

a)

106

b)

85

c)

113

d)

78

61.

Solve for x.

a)

6

b)

8

c)

10

d)

12

62.

Find the area of the shaded region

a)

100π - 200 sq units

b)

100π - 100 sq units

c)

100π sq units

d)

200 - 100π sq units

63.

Find the midpoint of the line segment.

a)

(-2.5, 1.5)

b)

(-1.5, 2.5)

c)

(-2, 1)

d)

(2.5, -1.5)

64.

These lines are....
x=6
y=10

a)

Parallel

b)

Perpendicular

c)

Neither

65.

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

a)

24,280 cubic feet

b)

16,430 cubic feet

c)

11,720 cubic feet

d)

4,480 cubic feet

66.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

67.

a)

tan A = tan B

b)

sin A = tan B

c)

cos A = tan B

d)

cos A = sin B

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

e)

Option 5

70.

a)

A

b)

B

c)

C

d)

D

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

$\angle2$

b)

$\angle3$

c)

$\angle5$

d)

$\angle7$

e)

$\angle13$

78.

a)

A

b)

B

c)

C

d)

D

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

81.

a)

A

b)

B

c)

C

d)

D

82.

a)

17.3

b)

210

c)

18

d)

208

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

a)

A

b)

B

c)

C

d)

D

88.

a)

A

b)

B

c)

C

d)

D

89.

Which of the following transformations creates a figure that is similar (but not congruent) to the original figure? (multiple choice)
l. Translation ll. Rotation lll. Dilation

a)

l only

b)

ll only

c)

lll only

d)

ll and lll

90.

True or False
The image of the point (-1, 8) under a reflection across the line y=x is (8, -1).

a)

True

b)

False

91.

Which of the following capital letters (if written simply) has line symmetry?

a)

F

b)

R

c)

O

d)

L

92.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

93.

What additional information is required for the 2 triangles to be congruent by SSS?

a)

A

b)

B

c)

C

d)

D

94.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

95.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

96.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

97.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

98.

A parallelogram is a rectangle when the diagonals ...

a)

are perpendicular.

b)

bisect each other.

c)

are congruent.

d)

are parallel.

99.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90º clockwise around the origin

b)

Rotate 90º degrees around the origin and then translate right.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90º counter clockwise about the origin.

100.

Find the measure of arc QR

a)

106

b)

85

c)

113

d)

78

101.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

102.

The shadow of a building is 8 meters long on level ground. The building and the ground are perpendicular to each other. The angle of elevation from the tip of the shadow to the top of the building is 42 degrees. Based on this information, calculate the height of the building.

a)

8.9 m

b)

18.3 m

c)

3.5 m

d)

7.2 m

103.

Write the equation of the circle on the graph.

a)

(x + 2)^2 + (y - 5)^2 = 9

b)

(x - 2)^2 + (y + 5)^2 = 9

c)

(x - 2)^2 - (y + 5)^2 = 9

d)

(x + 2)^2 - (y - 5)^2 = 9

104.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy, not replacing it then selecting a blue candy?

a)

1/40

b)

7/20

c)

6/19

d)

1/38

105.

Find the measure of the indicated angle:

a)

30 degrees

b)

100 degrees

c)

65 degrees

d)

35 degrees

106.

Name a pair of Alternate Interior Angles

a)

<1 and <4

b)

<4 and <6

c)

<3 and <6

d)

<7 and <4

107.

What is the value of x?

a)

-6

b)

22

c)

16

d)

21

108.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

109.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

110.

What is the probability of spinning green or blue?

a)

0

b)

5/12

c)

1/2

d)

3/4

111.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

112.

Change the following equation to standard form
x²+y²-4x+12y-8=0

a)

(x+2)²+(y-6)²=48

b)

(x-2)²+(y+6)²=48

c)

(x-6)²+(y-2)²=48

d)

(x+2)²+(y-6)²=48

113.

a)

A

b)

B

c)

C

d)

D

114.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

115.

A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)

a)

8/15

b)

15/225

c)

5/15

d)

3/15

116.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

117.

Which of the following is NOT true for a rectangle?

a)

all four angles are right angles

b)

diagonals are perpendicular

c)

diagonals are congruent

d)

diagonals bisect each other

118.

What is the probability of rolling a 5 on a standard die?

a)

1/5

b)

5/6

c)

1/6

d)

5

119.

Find AE

a)

12.5

b)

18

c)

11.75

d)

13

120.

Write the standard equation of the circle with the given center and radius; center (-1,0) and radius: 3

a)

(x-1)²+y²=3

b)

(x+1)²+y²=3

c)

(x+1)²+y²=9

d)

(x - 1)²+y²=9

121.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

122.

Find the arc length. Leave your answer in terms of π.

a)

7π/4

b)

7π/2

c)

1π/8

d)

11π

123.

What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).

a)

y = -3x + 10

b)

y= 1/3x +10

c)

y = -1/3x +10

d)

y = 3x -15

124.

QS is a tangent to circle P. Find QS.

a)

144

b)

14

c)

12

d)

13

125.

a)

72

b)

67

c)

65

d)

54

126.

Find x

a)

12

b)

15

c)

21

d)

18

127.

cos 38⁰ = ?

a)

sin 62⁰

b)

sin 52⁰

c)

cos 52⁰

d)

sin 38⁰

128.

Use chords to solve for x

a)

x = 3 cm

b)

x = 4 cm

c)

x = 5 cm

d)

x = 6 cm

129.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

130.

Given the points A (7,-4), B (-5,-10), C (-9,0), and D(3,6) what is the best description of quadrilateral ABCD?

a)

Rhombus

b)

Square

c)

Rectangle

d)

Parallelagram

131.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

132.

Use the distance formula to the perimeter of the isosceles triangle with vertices of (-3,0), (0,3), (3,0)?

a)

14.4

b)

10.2

c)

4.2

d)

6

133.

Find the volume of each sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

4.9 in³

b)

13.2 in³

c)

9.2 in³

d)

10.7 in³

134.

If a tennis ball has a diameter of 10, What is the volume of the tennis ball? Round to the nearest tenth.

a)

345.8

b)

523.6

135.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

124.6 in³

b)

87.9 in³

c)

97.5 in³

d)

78.9 in³

136.

Find the volume of the figure

a)

V = 1800 mm³

b)

V = 600 mm³

c)

V = 900 mm³

d)

V = 1200 mm³

137.

What is the volume of the cone in terms of pi?

a)

4.5π in³

b)

18π in³

c)

9π in³

d)

27π in³

138.

Find the sector area. Leave your answer in terms of π.

a)

(49π)/2

b)

(7π)/2

c)

77π

139.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

140.

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

a)

(4, 3.5)

b)

(3.5, 5)

c)

(3.5, 4.5)

d)

(5, 3.5)

141.

Find the point P that partitions the line segment BA given the ratio.

A(9, 3) B(-5, 8) with the ratio 2:5

a)

(12, 11/7)

b)

(-1, 53/7)

c)

(-1, 46/7)

d)

(13, 11/7)

142.

Find the point P that partitions the line segment AB given the ratio.

A (7, -2) B(4, 0) with the ratio 1:4

a)

(32/5, -8/5)

b)

(17/5, 2/5)

c)

(32/5, 22/5)

d)

(-13/5, 2/5)

143.

Find the point that is 3/4th of the distance from Y to X.

a)

(-6, -2)

b)

(2, -4)

c)

(-22/7, -19/7)

d)

(-6/7, -23/7)

144.

Find the m∠ABD.

a)

14

b)

51

c)

37

d)

65

145.

What is the value of x?

a)

92

b)

25

c)

12.5

d)

105

146.

Find the value of x.

a)

x = 17

b)

x = 16

c)

x = 29.67

d)

x = 18

147.

Determine the value of all three variables. Rank a, b, and c in order from greatest to least.

a)

a,b,c

b)

b,a,c

c)

c,a,b

d)

c,b,a

148.

No Calculator

a)

a

b)

b

c)

c

d)

d

e)

e

149.

No Calculator

a)

a

b)

b

c)

c

d)

d

150.

No Calculator

a)

a

b)

b

c)

c

d)

d

e)

e

151.

No Calculator

a)

a

b)

b

c)

c

d)

d

152.

No calculator

a)

a

b)

b

c)

c

d)

d

153.

a)

a

b)

b

c)

c

d)

d

154.

a)

a

b)

b

c)

c

d)

d

155.

a)

a

b)

b

c)

c

d)

d

e)

e

156.

a)

a

b)

b

c)

c

d)

d

157.

a)

a

b)

b

c)

c

d)

d

158.

a)

a

b)

b

c)

c

d)

d

159.

a)

a

b)

b

c)

c

d)

d

160.

a)

a

b)

b

c)

c

d)

d

e)

e

161.

a)

a

b)

b

c)

c

d)

d

162.

a)

a

b)

b

c)

c

d)

d

163.

a)

a

b)

b

c)

c

d)

d

164.

a)

a

b)

b

c)

c

d)

d

165.

a)

a

b)

b

c)

c

d)

d

e)

e

166.

a)

a

b)

b

c)

c

d)

d

167.

a)

a

b)

b

c)

c

d)

d

Geometry EOC Review

Total questions: 167

Worksheet time: 12hrs 51mins

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