Free Printable Geometry EOC Exam Review

1.

An example of 2 non-collinear points.

a)

D, E

b)

C, B

c)

M, E

d)

F, B

2.

What is the term for a part of a line with two endpoints?

a)

point

b)

ray

c)

angle

d)

line segment

3.

Points that lie on the same plane are ________.

a)

collinear

b)

coplanar

c)

parallel

d)

perpendicular

4.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

5.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

6.

a)

8

b)

12

c)

-4

d)

-8

7.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find m∠1.

a)

m∠1 = 110°

b)

m∠1 = 109°

c)

m∠1 = 70°

d)

m∠1 = 71°

8.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

9.

Find KL.

a)

18

b)

15

c)

6

d)

20

10.

∠K and ∠L are complementary angles.

If m∠K = (3x + 3)° and m∠L = (10x -- 4)°, find the measure of each angle.

a)

m∠K = 24° and m∠L = 66°

b)

m∠K = 66° and m∠L = 24°

c)

m∠K = 40° and m∠L = 50°

d)

m∠K = 30° and m∠L = 60°

11.

∠1 and ∠2 form a linear pair.

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, find the measure of each angle.

a)

m∠1 = 110° and m∠2 = 70°

b)

m∠1 = 109° and m∠2 = 71°

c)

m∠1 = 70° and m∠2 = 110°

d)

m∠1 = 71° and m∠2 = 109°

12.

Find the midpoint between the two points: (-4,4) and (5,-1)

a)

(4,5)

b)

(3,4)

c)

(1/2, 1 1/2)

d)

(7,2)

13.

Find the midpoint between the two points: (-1,1) and (5,-5)

a)

(3,-3)

b)

(2,-2)

c)

(4,-4)

d)

(4,5)

14.

What is the distance between (-5, 3) and (4, -5)?

a)

$\sqrt{-145}$

b)

$\sqrt{145}$

c)

145

d)

-145

15.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

16.

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3.

a)

(1,5)

b)

(3,7)

c)

(4,4)

d)

(5,8)

17.

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3.

a)

(1,5)

b)

(3,7)

c)

(4,4)

d)

(5,8)

18.

1. Find X

a)

28

b)

5

c)

55

d)

40

19.

3. Find ∠NOQ

a)

31

b)

59

c)

180

d)

149

20.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

21.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

22.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

23.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

24.

Which of the following is an example of corresponding angles?

a)

$\angle8\ and\ \angle4$

b)

$\angle5\ and\ \angle7$

c)

$\angle1\ and\ \angle7$

d)

$\angle3\ and\ \angle5$

25.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

26.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

27.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

28.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

29.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

30.

a)

41°

b)

65°

c)

102°

d)

115°

31.

What are the different parts of an isosceles triangle?

a)

1 leg, 2 vertex angles, 1 base, and 2 base angle

b)

1 leg, 2 vertex angles, 2 bases, and 1 base angle

c)

2 legs, 1 vertex angle, 1 base, and 2 base angles

d)

2 legs, 1 vertex angle, 2 bases, and 1 base angle

32.

Find x.

a)

72

b)

67

c)

65

d)

54

33.

Determine x

a)

93

b)

71

c)

81

d)

55

34.

What is the value of x?

a)

51

b)

49

c)

78

35.

Find x

a)

90

b)

45

c)

22

d)

35

36.

Find the value of x.

a)

1

b)

4

c)

5

d)

8

37.

What is the measure of angle b?

(a)

38.

Solve for x.

(a)

39.

Find the measure of each angle indicated.

(a)

40.

Solve for x.

(a)

41.

Solve for x.

(a)

42.

a)

5

b)

7

c)

8

d)

-4

43.

a)

2

b)

11

c)

7

d)

5

44.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

45.

Translate the green shape to the blue shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

46.

Determine where T' would be if you translated T 3 units to the right and 6 units up.

a)

(5, 1)

b)

(2, -5)

c)

(-1, 1)

d)

(8, -2)

47.

Where would A' be if you translated A 3 units to the right and 4 units down?

a)

(-4, 4)

b)

(-1, 0)

c)

(0, -1)

48.

The image A'B'C' is a rotation of ABC.

a)

True

b)

False

49.

The new figure created from a transformation is...

a)

Congruent

b)

Preimage

c)

Image

d)

Angle

50.

What is a transformation that turns a figure about a fixed point for a given angle?

a)

Point of Rotation

b)

Vertex

c)

Rotations

d)

Image

51.

The name of the figure before the rotation is...

a)

Congruent

b)

Preimage

c)

Image

d)

The Before

52.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

53.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

54.

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

a)

90°

b)

180°

c)

270°

d)

360°

55.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

56.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

57.

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

58.

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

59.

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

60.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

61.

How do you represent reflection over the x axis Algebraically?

a)

(-y, -x)

b)

(x + a, y + b)

c)

(x , -y)

d)

(ax, by)

62.

2. How many lines of symmetry does the picture have?

a)

1

b)

2

c)

4

d)

0

63.

What is the smallest degree of rotational symmetry?

a)

90°

b)

45°

c)

60°

d)

120°

64.

What is the smallest degree of rotational symmetry?

a)

90°

b)

45°

c)

60°

d)

120°

65.

What is the smallest degree of rotational symmetry?

a)

90°

b)

72°

c)

60°

d)

40°

66.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

67.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

68.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

69.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

70.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

71.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

72.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

73.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

74.

State what additional information is required in order to know that the triangles are congruent for the reason given.

a)

$RS\cong QS$

b)

$RS\cong QD$

c)

$\angle QRS\cong\angle QDS$

d)

$DS\cong SQ$

75.

Complete the congruence statement:

\Delta WXY\cong\Delta

a)

ZAY

b)

YZA

c)

ZYA

d)

AZY

76.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

77.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

78.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

79.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

80.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

81.

Are the triangles similar?

a)

Yes

b)

No

82.

Are the triangles similar?

a)

Yes

b)

No

83.

When you dilate a figure you...

a)

slide it.

b)

turn it.

c)

flip it.

d)

make it larger or smaller.

84.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

85.

What is ratio of any two corresponding sides?

a)

Scale Factor

b)

Corresponding Sides

c)

Similar Figures

86.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

87.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

88.

Solve for f.

a)

6

b)

4

c)

3

d)

8

89.

What similarity theorem would you use to prove these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

BUCK∼

90.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

91.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

92.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

93.

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

a)

$\frac{10}{x}=\frac{x}{14}$

b)

$\frac{10}{x}=\frac{x}{24}$

c)

$10^2+x^2=14^2$

d)

$10^2+x^2=24^2$

94.

How far is it across the lake?

a)

4

b)

6

c)

9

d)

12

95.

Find the value of x.

a)

12

b)

16

c)

9

d)

6

96.

Find the value of m.

a)

10

b)

10√2

c)

20√2

d)

√2

97.

What is the perimeter of the triangle?

a)

16 + 8√2

b)

8 + 8√2

c)

24√2

d)

24

98.

Find y.

a)

1

b)

2

c)

2√3

d)

4√3

99.

Find EF.

a)

4

b)

2√2

c)

1

d)

2

100.

Find the value of X.

a)

100

b)

120

c)

125

d)

130

101.

Solve for x

a)

45

b)

12

c)

90

d)

2

102.

Which is true about parallelograms?

a)

Opposite sides are congruent

b)

Diagonals are congruent

c)

Consecutive angles are congruent

d)

The interior angles add to 180 degrees

103.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

104.

What is the value of x?

a)

132

b)

66

c)

114

d)

48

105.

______ parallelograms are quadrilaterals.

a)

All

b)

Some

c)

No

106.

______ squares are rectangles.

a)

All

b)

Some

c)

No

107.

In a parallelogram, consecutive angles are __________.

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

108.

In a parallelogram, diagonals __________.

a)

are perpendicular

b)

bisect each other

c)

are congruent

d)

are parallel

109.

Which quadrilateral has opposite sides parallel?

a)

Rectangle

b)

Rhombus

c)

Square

d)

All of these do

110.

In a rhombus, all four sides are ___________.

a)

congruent

b)

parallel

c)

perpendicular

d)

unequal

111.

A parallelogram that is both a rhombus and a rectangle is called a __________.

a)

Quadrilateral

b)

Parallelogram

c)

Trapezoid

d)

Square

112.

LMNO is a parallelogram
solve for X

a)

19

b)

20

c)

33

d)

53

113.

What is the value of x in the illustration?

a)

3

b)

4

c)

5

d)

6

114.

The diagonals in a kite __________.

a)

are congruent

b)

are supplementary

c)

are perpendicular

d)

are parallel

115.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

116.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

117.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

118.

What is tan 45⁰?

a)

1

b)

2

c)

0.5

d)

0.75

119.

What is cos 47⁰ ?

a)

0.73

b)

0.28

c)

0.68

d)

answer not shown

120.

Find x if sin 22^o = 2/x.

a)

6.78

b)

0.75

c)

2.14

d)

5.34

121.

Find the length of side W?
sin 68 = 70/w

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

122.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

123.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

124.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

125.

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

a)

(-3, -4)

b)

(4, 3)

c)

(-4, -3)

d)

(3, 4)

126.

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

a)

x²+y²=3

b)

x²+y²=6

c)

x²+y²=9

127.

If two lines are parallel their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

128.

Are these lines parallel?
y = 12x + 4
y = 12x +14

a)

YES

b)

NO

129.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

130.

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

a)

y = (-3/5)x + 2

b)

y = (-3/5)x -2

c)

y = (3/5)x + 2

d)

y = (5/3) + 2

131.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

132.

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

a)

YES

b)

NO

133.

Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13

a)

YES

b)

NO

134.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

135.

A line is parallel to y = 2x - 7.
What is it's slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

136.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 with a y-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

137.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

138.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

139.

In the diagram, two tangents to the circle share a common external point. Solve for the value of "x"

a)

8

b)

9

c)

6

d)

5

140.

What is the volume of a cone with a radius of 3 cm and a height of 11 cm?

a)

207.35 cm³

b)

311.02 cm³

c)

69.12 cm³

d)

103.67 cm³

141.

Which formula has B correctly substituted for the volume of a cylinder?

a)

V=πr²h

b)

V=πr²

c)

V=2πrh

d)

V=rh

142.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

143.

Find the volume

a)

960 cm³

b)

240 cm³

c)

960 cm ²

d)

1920 cm³

144.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

145.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

146.

What is the volume?

a)

16.8 cm³

b)

50.3 cm³

c)

100.5 cm³

d)

12.6 cm²

147.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

148.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in²

b)

56.5 in²

c)

188.5 in²

d)

245.0 in²

149.

What is the area of this trapezoid?

a)

216 cm²

b)

204 cm²

c)

156 cm²

150.

Find the perimeter.

a)

32 in

b)

32 in²

c)

50 in

d)

50 in²

Geometry EOC Exam Review

Total questions: 150

Worksheet time: 7hrs 35mins

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