Free Printable Geometry Final Exam Review

1.

What word matches the definition?

Measurable part of a line consisting of two end points.

a)

Segment

b)

Line

c)

Point

d)

Ray

2.

What vocabulary word matches the diagram?

a)

Line

b)

Ray

c)

Segment

d)

Angle

3.

Which definition matches the word?

Congruent

a)

Two lines that never intersect

b)

identical in form

c)

To divide into two equal parts

d)

Drawn around another figure, touching at points but not cutting it.

4.

Which word matches the definition?

Consists of two different rays that have the same initial point.

a)

Segment

b)

Midpoint

c)

circumscribed

d)

Angle

5.

Which word matches the symbol?

a)

line

b)

segment

c)

point

d)

ray

6.

Which definition matches the following word?

Bisect

a)

The exact middle

b)

Consists of two different rays that have the same initial point

c)

To divide into two equal parts

d)

Made up of points with no thickness or width

7.

Find HG.

a)

8

b)

9

c)

10

d)

11

8.

RM=

a)

RM=6

b)

RM=3

c)

RM=12

d)

RM=9

9.

Find AB.

a)

69

b)

20

c)

19

d)

11

10.

Use the picture to write the correct Segment Addition statement.

a)

AB + BC = AC

b)

BC + BA = BC

c)

BA + AC = BC

d)

AB + BC = AC

11.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

12.

A flat surface is called a...

a)

plane

b)

line

c)

point

d)

ray

13.

A straight path with no beginning or end is a...

a)

ray

b)

line

c)

plane

d)

angle

14.

A specific location in space is called a...

a)

line

b)

point

c)

line segment

d)

ray

15.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

16.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

17.

If UW=6x-35, find UW.

a)

17

b)

34

c)

67

d)

26

18.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

19.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

20.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

21.

Find the distance between (-5, -8) and (-1, -16).

a)

8.9

b)

9.8

c)

10.3

d)

11

22.

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

a)

3

b)

4

c)

5

d)

6

23.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

24.

Find the value of ∠A.

a)

25°

b)

30°

c)

35°

d)

90°

25.

a)

$85\degree$

b)

$131\degree$

c)

$90\degree$

d)

$149\degree$

26.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

27.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

28.

Solve for x

a)

6

b)

140

c)

20

d)

90

29.

If lines are parallel with a transversal, then these two angles are?

a)

Vertical Angles

b)

Corresponding Angles

c)

Exterior Alternative

d)

Interior Alternative

30.

If lines are parallel with a transversal, then these two angles are?

a)

Corresponding Angles

b)

Exterior Alternate Angles

c)

Interior Alternate Angles

d)

Vertical Angles

31.

Given parallel lines with a transversal, what is true about angles 5 and 6?

a)

They are corresponding angles.

b)

They are congruent to the measurement of 68 degrees.

c)

They alternate interior angles.

d)

They are supplementary angles.

32.

Find the value of x.

a)

20

b)

135

c)

31

d)

145

33.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

34.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

35.

Which figure shows a set of parallel lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

36.

Which figure shows a set of perpendicular lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

37.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

38.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

39.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

40.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

41.

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

42.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

43.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

44.

What type of angle is this?

a)

acute

b)

obtuse

c)

right

d)

big

45.

An angle whose measure is exactly 90 degrees.

a)

acute

b)

vertical

c)

right

d)

straight

46.

a)

acute

b)

obtuse

c)

right

47.

A triangle has side lengths of 15 centimeters, 11 centimeters, and 9 centimeters. What kind of triangle is it?

a)

equilateral

b)

isosceles

c)

scalene

48.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

49.

Name this triangle

a)

Acute, Scalene

b)

Obtuse, Scalene

c)

Right, Isosceles

d)

Acute, Equilateral

50.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

51.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

52.

Solve for x.

a)

16

b)

11

c)

50

d)

6

53.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

54.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

55.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

56.

Solve for x.

a)

6

b)

5

c)

-11

d)

4

57.

Find the measure of each angle indicated.

a)

62

b)

53

c)

71

d)

50

58.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

59.

What is the value of ?

a)

64

b)

46

c)

127

d)

38

60.

What is the value of x?

a)

51

b)

49

c)

78

61.

a)

A

b)

B

c)

C

d)

D

62.

What is the value of y?

a)

7

b)

4

c)

6

d)

14

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

12

b)

11

c)

8

d)

6

65.

a)

9

b)

11

c)

8

d)

6

66.

Two consecutive angles of a parallelogram measures (x + 30) and 2(x-30) respectively. What is the value of x?

a)

40

b)

50

c)

60

d)

70

67.

FEDG is a quadrilateral, what is the measure of angle G?

a)

95

b)

96

c)

97

d)

98

68.

What shape is this?

a)

Rectangle

b)

Kite

c)

Trapezoid

d)

Parallelogram

69.

What shape is this?

a)

Quadrilateral

b)

Rectangle

c)

Square

d)

Rhombus

70.

What shape is this?

a)

Rectangle

b)

Square

c)

Trapezoid

d)

Kite

71.

Find the missing angle.

a)

65°

b)

85°

c)

75°

d)

70°

72.

What is the sum of a Quadrilaterals interior angles?

a)

180

b)

360

c)

400

d)

240

73.

A _______________ is a quadrilateral with two sets of parallel sides.

a)

trapezoid

b)

parallelogram

c)

kite

d)

triangle

74.

How many degrees are in the missing angle?

a)

60°

b)

114°

c)

70°

d)

360°

75.

Which of the following properties is true about parallelograms?

a)

Opposite sides are congruent.

b)

Diagonals are congruent.

c)

Diagonals are perpendicular.

76.

Which of the following properties is true about rectangles?

a)

Diagonals are perpendicular.

b)

Opposite sides are congruent.

c)

Exactly one pair of parallel sides.

77.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

78.

a)

1:3

b)

3

c)

2:3

d)

3:2

79.

a)

7

b)

12

c)

6

d)

4

80.

Find the value of X.

a)

4

b)

6

c)

12

d)

7

81.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

82.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

83.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

84.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

85.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

86.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

87.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

88.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

89.

a)

G

b)

O

c)

E

d)

X

90.

a)

20.35

b)

12.72

c)

14.99

d)

21.83

91.

a)

38.66

b)

36.87

c)

53.13

d)

45.71

92.

a)

9.28

b)

2.87

c)

2.97

d)

8.76

93.

a)

32.58

b)

57.42

c)

31.44

d)

59.02

94.

a)

6.09

b)

18.77

c)

5.52

d)

7.68

95.

a)

39.89

b)

33.29

c)

56.71

d)

42.93

96.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

97.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

98.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

99.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

100.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

101.

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?

102.

Dustin is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Dustin's mom to Dustin is 73^o, how far off the ground is Dustin?

a)

118.2 ft

b)

120.9 ft

c)

124.3 ft

d)

126.5 ft

103.

The definition of a circle is

a)

set of all points in a plain that are the same distance from a point called the center

b)

the distance around a share

c)

a large figure

d)

a pizza, orange, plum, or watermelon

104.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

105.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

106.

what is the formula for finding diameter

a)

r = 2 d

b)

d = 2 r

c)

a = m c²

d)

c = π 2 r

107.

what is the formula for finding circumference

select ALL that apply

a)

c = π d

b)

c = 2 π r

c)

d = 2 r

d)

r = d/2

108.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

109.

A line segment that extends between any two unique points of a circle without going through the center

a)

circle

b)

diameter

c)

chord

d)

radius

e)

circumference

110.

The distance around the circle; the perimeter is the measure of the circumference

a)

circle

b)

chord

c)

diameter

d)

radius

e)

circumference

111.

What is line segment DE an example of?

a)

circle

b)

radius

c)

diameter

d)

chord

e)

circumference

112.

We can name this circle by which letter?

a)

D

b)

O

c)

A

d)

B

e)

C

113.

What is another name for the perimeter of the circle?

a)

circle

b)

radius

c)

chord

d)

diameter

e)

circumference

114.

A _____ is half of a circle.

a)

circumference

b)

pi

c)

semicircle

d)

composite figure

115.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

116.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

117.

If you are given a radius and asked to find the diameter what do you do?

a)

Divide the radius by 2

b)

Square the radius

c)

Multiply the radius by 2

d)

Take the square root of the radius

118.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

119.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

120.

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)

121.

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

a)

4

b)

2

c)

3

d)

16

122.

Solve for x and y.

a)

x=85⁰ y = 150⁰

b)

x = 85⁰ y = 50⁰

c)

x = 95⁰ y = 150⁰

d)

x = 95⁰ y = 50⁰

123.

a)

A

b)

B

c)

C

d)

D

124.

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

125.

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

a)

x²+ y²= 4

b)

x²+ y²= 81

c)

x²+ y²= 9

d)

x²+ y²= 3

126.

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

127.

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Write the equation in standard form.

a)

(x - 6)² + (y + 4)² = 49

b)

(x + 4)² + (y - 6)² = 49

c)

(x - 6)² + (y + 4)² = 55

d)

x² + y² = 55

128.

According to the picture, what is the name of the following movie?

a)

cinderella

b)

story toy

c)

toy story

d)

friends

129.

What does Hakuna Matata mean?

a)

Good-bye

b)

happiness

c)

no worries

d)

welcome

130.

What is the name of Jasmine's pet tiger in the movie Alladin?

a)

Rajah

b)

Rally

c)

Roger

131.

Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.

a)

10 inches

b)

2 feet

c)

4.71 inches

d)

3.53 inches

132.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

133.

Find the area of the sector, rounding your answer to 1d.p.

a)

67.1cm²

b)

67.0cm²

c)

16.8cm²

d)

134.0cm²

134.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

135.

What did Cinderella forget at the ball?

a)

A shoe

b)

Mice

c)

Keys to her house

d)

Dust-Pan

Geometry Final Exam Review

Total questions: 135

Worksheet time: 6hrs 41mins

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