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.

The point that is to be transformed is called the:

a)

Pre-Image

b)

Image

c)

Post-Image

d)

Triangle

3.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

4.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

5.

What is the measure of one interior angle of a regular 45-gon?

a)

180

b)

360

c)

172

d)

93

6.

What is the sum of the exterior angles of a 20-gon?

a)

180

b)

360

c)

3240

d)

162

7.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

8.

Find the value of X

a)

20

b)

30

c)

21

d)

19

9.

Solve for the value of x

a)

15

b)

30

c)

10

d)

25

10.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

11.

Which ratio would you use to find the length of the side labeled c?

a)

sin 39 = 6/c

b)

sin 39 = c/6

c)

cos 39 = 6/c

d)

cos 39 = c/6

12.

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

13.

What is the length of the line with endpoints (5, 3) and (9, 1)?

a)

5.4

b)

10

c)

4.5

d)

20

14.

You have a right triangle with a base of 8 and a height of 10. If the base is along the x-axis and the height is along the y-axis, what solid figure would you create if you rotate the triangle 360 degrees?

a)

cylinder

b)

cone

c)

pyramid

d)

prism

15.

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

16.

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

17.

A line segment has an endpoint at (4, -2) and a midpoint at (8, 4).
What is the other endpoint?

a)

(12,10)

b)

(20, 6)

c)

None of these

18.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

19.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

20.

a)

centroid

b)

orthocenter

c)

circumcenter

d)

incenter

21.

a)

centroid

b)

orthocenter

c)

circumcenter

d)

incenter

22.

Find the geometric mean between 6 and 24.

a)

6

b)

24

c)

12

d)

√6

23.

Classify the triangle formed by the side lengths as acute, right, or obtuse.
4, 5, 7

a)

acute

b)

right

c)

obtuse

24.

Find x and y.

a)

x=8√2, y = 8

b)

x = 8, y = 16

c)

x=8, y = 8√2

d)

x = 8, y = 16√2

25.

Find x and y.

a)

x=4, y = 2

b)

x=2, y = 4

c)

x=√3, y = 2√3

d)

x=2√3, y=√3

26.

Find the area.

a)

525cm²

b)

500cm²

c)

400cm²

d)

355cm²

27.

Describe a transformation that moves point D on the grid to
D′ (7,-2)?

a)

reflect over x-axis

b)

reflect over y-axis

c)

translate up 4

d)

rotate 90 Degrees

28.

The points W (1,1), X(3,3), Y(-1,3) and Z (1,5) are the vertices of square WXYZ. What is the perimeter of the square? Round your answer to the nearest hundredth. Use the distance formula:

d=√(x₂−x₁)²+(y₂−y₁)²

a)

11.31

b)

12.31

c)

2.81

d)

4.65

29.

Name 2 angles that are complementary.

a)

Angles CBD and DBE

b)

Angles ABC and DBE

c)

Angles ABC and CBE

d)

Angles ABC and CBD

30.

Name a pair of angles that are vertical.

a)

Angles 4 and 5

b)

Angles 7 and 9

c)

Angles 8 and 9

d)

Angles 5 and 7

31.

Given
m∠ABC = 94°, find m∠CBD.

a)

m<CBD = 18

b)

m<CBD = 25

c)

m<CBD = 69

d)

m<CBD = 94

32.

Find the image of Y(-7, 4) after a dilation centered at the origin with a scale factor of -3.

a)

Y'(-21, 12)

b)

Y'(21, -12)

c)

Y'(12, -21)

d)

Y'(-12, 21)

33.

a)

m∠GHK=80.5,
m∠KHJ=161

b)

m∠GHK=161,
m∠KHJ=80.5

c)

m∠GHK=80.5,
m∠KHJ=80.5

d)

m∠GHK=161,
m∠KHJ=161

34.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

right two, down five

b)

right two, down 9

c)

left two, down 9

d)

left two, down 5

35.

If a scale factor of ½ is applied, what would be the algebraic representation for this dilation.

a)

(x, y)--> (2x, 2y)

b)

(x, y)--> (1/2x, 1/2y)

c)

(x, y)--> (x+2, y+2)

d)

(x, y)--> (x-2, y-2)

36.

Find the measure of the indicated angle:

a)

30 degrees

b)

100 degrees

c)

65 degrees

d)

35 degrees

37.

Find the area of the sector:

a)

27 pi cm^2

b)

9 pi cm^2

c)

3 pi cm^2

d)

90 pi cm^2

38.

Find the volume if the height is 10 inches?

a)

3π in³

b)

9π in³

c)

30π in³

d)

90π in³

39.

Find the total surface area of the prism.

a)

161 square feet

b)

136 square feet

c)

200 square feet

d)

186 square feet

40.

Simplify

a)

100√6

b)

6√100

c)

10√6

d)

Can't Simplify

41.

Solve for x.

a)

6

b)

8

c)

10

d)

12

42.

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

43.

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)

44.

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

a)

Parallel

b)

Perpendicular

c)

Neither

45.

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

46.

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

47.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

48.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

49.

a)

A

b)

B

c)

C

d)

D

50.

Find the area of the shaded region.

a)

144π - 288 cm²

b)

72π - 144 cm²

c)

144π - 72 cm²

d)

144π - 360 cm²

51.

What congruency postulate proves the triangles congruency?

a)

SAS

b)

ASA

c)

SSS

d)

HL

52.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

53.

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

54.

What property states that something is congruent to itself?

a)

Symmetry Property

b)

Congruence Property

c)

Reflexive Property

55.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

56.

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.

57.

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)

58.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

59.

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

a)

(2,2)

b)

(3,-5)

c)

(-3,-5)

d)

(-3,5)

60.

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)

61.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

62.

Find the length of the arc to 2 decimal places.

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

63.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

64.

Which of the following is NOT a triangle congruence criteria?

a)

SAS

b)

AAS

c)

SSA

d)

ASA

65.

What is the justification (reason)?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution

66.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

67.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

68.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Perpendicular line to a point on the line

d)

Perpendicular bisector of a line segment

69.

Solve for x.

a)

9

b)

-7

c)

4

d)

6

70.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

71.

Find the area of the regular polygon

a)

172.0 in.²

b)

170.0 in.²

c)

17.2 in²

d)

50 in.²

72.

Find the area of the regular polygon.

a)

259.8 m

b)

259.8 m²

c)

259.8 cm

d)

259.8 cm²

73.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{JK}\cong\overline{JK}$ ; Reflexive

b)

$\angle M\cong\angle L$ ; Reflexive

c)

$\overline{MJ}\cong\overline{LK}$ ; Midpoint Theorem

d)

$\overline{MK}\cong\overline{LJ}$ ; Hypotenuse Congruence

74.

Find the surface area of the cylinder .

a)

456.33 m²

b)

1445 m²

c)

1245 m²

d)

4084 m²

75.

Find the missing length.

a)

x = 12

b)

x = 11

c)

x = 15

d)

x = 9

76.

Find the missing length.

a)

9

b)

18

c)

4.5

d)

16

77.

Find the missing length.

a)

12

b)

3

c)

24

d)

6

78.

Name the parallel segment.

a)

WY

b)

YX

c)

WX

d)

PN

79.

Solve for x

a)

5

b)

4

c)

3

d)

2

80.

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

a)

A

b)

B

c)

C

d)

D

81.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

82.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

83.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

84.

A parallelogram is a rectangle when the diagonals ...

a)

are perpendicular.

b)

bisect each other.

c)

are congruent.

d)

are parallel.

85.

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)

86.

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

87.

Solve for x.

a)

4

b)

11

c)

9

d)

7

88.

Solve for x.

a)

3

b)

6

c)

8

d)

9

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

91.

a)

A

b)

B

c)

C

d)

D

92.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

93.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

94.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

95.

Solve for x.

a)

10

b)

85

c)

170

d)

180

96.

a)

14

b)

12

c)

19

d)

17

97.

Given that Line XY and Line ZW intersect at point A, which statement below is ALWAYS true?

a)

XA = AY

b)

$\angle XAZ$ is acute

c)

Line XY $\perp$ Line ZW

d)

X, Y, Z, and W are noncollinear

98.

Determine the equation of a line PERPENDICULAR to 3x + y = 8

and passes through the point (-3, -2), in slope-intercept form.

a)

$y=\frac{1}{3}x-3$

b)

$y=-\frac{1}{3}x-9$

c)

$y=\frac{1}{3}x-1$

d)

$y=-3x-9$

99.

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?

100.

The three medians of a triangle intersect at the (a) .

Choose from the below words

orthocenter

circumcenter

incenter

centroid

101.

The three altitudes of a triangle intersect at the (a) .

Choose from the below words

orthocenter

circumcenter

incenter

centroid

102.

The three perpendicular bisectors of a triangle intersect at the (a) .

Choose from the below words

orthocenter

circumcenter

incenter

centroid

103.

The three angle bisectors of a triangle intersect at the (a) .

Choose from the below words

orthocenter

circumcenter

incenter

centroid

104.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

105.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

106.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

107.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

108.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

109.

Name the point of concurrency shown.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

110.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

111.

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

a)

20

b)

10

c)

5

d)

25

112.

C is the Centroid, AB = 30, AC = ?

a)

10

b)

15

c)

20

d)

5

113.

Find the length of segment AG.

a)

x=6

b)

x=3

c)

x=9

d)

x=18

114.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

115.

Refer to the figure. Name the intersection of plane L and line CE.

a)

point D

b)

point C

c)

line CE

d)

line BA

116.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

BD+BC=BC

d)

BC+BD=CD

117.

Write an equation that could be used to relate the lengths shown.

a)

4 + 3x + 2 = 7x - 2

b)

7x - 2 + 4 = 3x + 2

c)

7x - 2 + 3x + 2 = 4

118.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

119.

Solve

a)

x = 6

b)

x = 7

c)

x = 12

d)

x = 144

120.

Step 2 is what

a)

Substitution property (simplify)

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

121.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

122.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

123.

Name the Property that this statement illustrates:

If x = y, then 3x = 3y.

a)

Multiplication Property Of Equality

b)

Addition Property Of Equality

c)

Symmetric Property Of Equality

124.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

125.

Name the plane in two different ways.

a)

Plane N and Plane DBA

b)

Plane N and Plane ABC

c)

Plane N and Plane ABE

d)

Plane DBN and Plane DBC

126.

Which of the following side measures form a triangle?

a)

50, 50, 102

b)

25, 26, 52

c)

45, 40, 75

d)

21, 20, 43

127.

Is AC or DF longer?

a)

AC

b)

DF

128.

The surveyor determined that m∠A = 29° and m∠D = 32°. Which of the following can he conclude ?

a)

EF > BC

b)

BC < EF

c)

AC > DE

d)

AC < DF

129.

If the figure is a rectangle, the value of x is...

a)

2

b)

12

c)

13

d)

28

130.

Which statement is true?

a)

A rhombus is never a square.

b)

A rhombus is always a square.

c)

A rhombus is never a rectangle.

d)

A rhombus is always a parallelogram.

131.

Find x.

a)

x = 2

b)

x = 3

c)

x = 6

d)

x = 9

132.

Find the measure of angle P.

a)

126 degrees

b)

6 degrees

c)

28 degrees

d)

107 degrees

133.

ABCD is a kite.

If AC = 10 and ED = 12, what is the length of CD?

a)

10

b)

12

c)

13

d)

15

134.

ABCD is an isosceles trapezoid.

What is the measure of angle A?

a)

53 degrees

b)

127 degrees

c)

48 degrees

d)

132 degrees

135.

FGHI is a square.

Solve for x.

a)

5

b)

6

c)

8

d)

12

136.

This quadrilateral is a rhombus.

What is the measure of angle #2?

a)

38

b)

76

c)

104

d)

52

137.

ABCD is a parallelogram.

If AC = 8x - 14 and EC = 2x + 11, solve for x.

a)

7

b)

8.5

c)

9

d)

9.5

138.

If this figure is a regular polygon, solve for x.

a)

9

b)

16

c)

11

d)

14

139.

How many sides does a figure have that has an interior angle measure of 135 degrees?

a)

7

b)

8

c)

9

d)

10

140.

TUVW is a rhombus. Find m∠4.

a)

62

b)

28

c)

90

d)

78

141.

Which image shows the construction of a perpendicular bisector?

a)

b)

c)

d)

142.

Which of the following shows the construction of an angle bisector?

a)

b)

c)

d)

143.

Nate is constructing angle bisector to angle ABC. Where did he position his compass to create the two arcs that intersect at the interior of the angle?

a)

He fixed his compass on B and drew both arcs.

b)

He fixed his compass on points A and C.

c)

He fixed his compass on points D and E.

d)

He fixed his compass on points B and E.

144.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

145.

Which shows a tangent line?

a)

b)

c)

d)

146.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not sure

147.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

148.

Find the perimeter of the quadrilateral.

a)

A

b)

B

c)

C

d)

D

149.

Line AB is a tangent to the circle with center C. Find the value of x.

a)

40°

b)

36°

c)

54°

d)

32°

150.

AC is a tangent to circle O at point C. What is the length of AC?

(a)

Geometry EOC Review

Total questions: 150

Worksheet time: 10hrs 42mins

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