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Geometry Final Exam Review

Total questions: 88

Worksheet time: 3hrs 23mins

Name
Class
Date
1.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
2.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
3.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
4.

Find the missing angle in the triangle.

a)

65 degrees

b)

180 degrees

c)

115 degrees

5.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
6.

Which of the following describes the sequence of transformations shown?

a)

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

b)

Rotate -90 degrees around the origin and then translate down.

c)

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

d)

Translate up and then rotate 90 degrees about the origin.

7.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

8.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

9.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

Reflection over y-axis, then rotation of 90 Degrees

c)

Rotation of 90 Degrees, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

10.

Which transformations keep figures congruent?

a)

translation, reflection, and dilation

b)

reflection, rotation, and dilation

c)

dilation, translation, reflection, and rotation

d)

translation, reflection, and rotation

11.

What is the scale factor of this dilation?

(a)  

12.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
13.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
14.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
15.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
16.

If two figures are similar their angles are______.

a)

Proportional

b)

Supplementary

c)

Congruent

d)

Complementary

17.

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

a)

Equal

b)

Congruent

c)

Proportional

d)

None of these

18.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
19.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
20.

Give a reason why the triangles are congruent.

a)

SSS

b)

SAS

c)

AAS

d)

ASA

21.

Give a reason why the triangles are congruent.

a)

ASA

b)

SAS

c)

not congruent

d)

AAS

22.

Write a congruency statement and give a reason why the triangles are congruent.

a)

Δ\Delta ABC \cong Δ\Delta DFE

Reason

ASA

b)

Δ\Delta ABC \cong Δ\Delta DEF

Reason

SAS

c)

Δ\Delta ABC Δ\cong\Delta DEF

Reason

ASA

23.

Write a congruency statement and give a reason why the triangles are congruent.

a)

Δ\Delta ABC Δ\cong\Delta FDE

Reason

ASA

b)

Δ\Delta ABC Δ\cong\Delta FDE

Reason

AAS

c)

Δ\Delta ABC Δ\cong\Delta DEF

AAS

24.

Give a reason why the triangles are congruent.

a)

SSS

b)

AAS

c)

ASA

d)

Not congruent

25.

Which similarity postulate/theorem could prove the two triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

not enough information

26.

Which similarity postulate/theorem could prove the two triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

not enough information

27.

Which similarity postulate/theorem could prove the two triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

not enough information

28.

The Pythagorean Theorem ONLY works on which triangle? 

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

29.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

30.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

31.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

32.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

33.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

172+82=b217^2+8^2=b^2  

b)

82+b2=1728^2+b^2=17^2  

c)

172+b2=8217^2+b^2=8^2  

d)

82b2=172100\frac{8^2}{b^2}=\frac{17^2}{100}  

34.

What is the opposite of squaring a number

a)

divide

b)

multiply

c)

square root

d)

fractions

35.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
36.

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

37.
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
38.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
39.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
40.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
41.

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

42.

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

43.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
44.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
45.

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

46.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = 1/2x - 7

c)

y = -1/2x + 2

d)

y = 2x - 3

47.
Find the area of each sector.
a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
48.
Find the area of each sector.
a)
4248 m2
b)
7.9 m2
c)
2827.4 m2
d)
11.8 m2
49.
Which sentence describes the relationship shown on this scatterplot?
a)
As the temperature decreases, the visitors increase. 
b)
As the temperature increases, the number of visitors increases. 
c)
As the visitors increase, the temperature decreases. 
d)
No correlation
50.
Select the statement that best describes the line.
a)
The line is the line of best fit.
b)
The line is NOT a line of best fit because it does not pass through two points.
c)
The line is NOT a line of best fit because it does not go through the middle of the data set.
d)
The line is NOT a line of best fit because it does not go through the origin.
51.

What is the y-intercept?

a)

-2

b)

3

c)

2

d)

-3

52.
About 50 % of the data values are greater than what value?
a)
12
b)
15
c)
22
d)
31
53.
True of false, 75% of the data values are greater than 18?
a)
True
b)
False, 75% of the values are greater than 16
c)
False, 50 % of the values are greater than 18
d)
False, 25% of the values are greater than 18
54.

When finding the median, what do you do if there are TWO numbers in the middle?

a)

You write both numbers for your answer.

b)

You choose the larger number.

c)

You cross them out-- there is no median.

d)

You add them together and divide by 2.

55.

What is ALWAYS your first step when given a set of data?

a)

Put the numbers in order from greatest to least.

b)

Put the numbers in order from least to greatest.

c)

Find the median.

d)

Find the quartiles.

56.

What does the "Q" stand for in Q1, Q2, and Q3?

a)

Quadrants

b)

Quartiles

c)

Quarts

57.
Which city has a higher median?
a)
Millersburg
b)
Arcadia
58.

Which profession had the greatest range of salaries?

a)

Nuclear engineer

b)

Police officer

c)

Musician

d)

Impossible to tell

59.

What is the median of the data shown?

a)

9

b)

9.5

c)

10

d)

There is no median

60.

What is the mean of the data shown, to the nearest whole number?

a)

33

b)

34

c)

35

d)

32

61.

What is the mean of the data shown, to the nearest whole number?

a)

42

b)

43

c)

44

d)

45

62.

What is the median of the data shown?

a)

81.5

b)

83

c)

80.3

d)

82

63.

Which equation written in slope-intercept form represents the trend line shown on the scatter plot below?

a)

y=53x+40y=\frac{5}{3}x+40  

b)

y=53x+40y=\frac{-5}{3}x+40  

c)

y=35x+40y=\frac{3}{5}x+40  

d)

y==35x+40y=\frac{=3}{5}x+40

64.

What does the slope mean in the context of the situation graphed?

a)

You burn 500 calories every 60 minutes of exercise.

b)

You eat 500 calories when you eat out 60 times.

c)

You burn 100 calories every 10 minutes of exercise.

d)

You should not exercise.

65.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
66.
What is the arc length of minor arc AB?
a)
5.23
b)
103
c)
33.33
d)
50
67.

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

a)
b)
c)
d)
68.

Find the midpoint of the line segment with the given endpoints (1,1) and (9,9)

a)

(5,5)

b)

(1,9)

c)

(17,17)

d)

(-4,-4)

69.

Find the midpoint: (2,7),(10,1)\left(2,-7\right),\left(10,1\right)  

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

70.
Find the missing perimeter.
a)
15
b)
20
c)
25
d)
30
71.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
72.
Select the best answer choice.
a)
F
b)
G
c)
H
d)
J
73.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
74.
Find the volume.
a)
151.2
b)
163.7
c)
179.1
d)
186.3
75.
Find the volume.
a)
1112.3
b)
1343.4
c)
1423.2
d)
1500.6
76.
a)

112

b)

32

c)

48

d)

80

77.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
78.

What is the relationship of the angles?

a)

Corresponding angles

b)

Consecutive interior angles

c)

Alternate interior angles

d)

alternate exterior angles

79.

Which pair of angles are corresponding angles?

a)

\angle  7 and \angle  4

b)

\angle  2 and \angle  6

c)

\angle  8 and \angle  1

d)

\angle  2 and \angle  8

80.

Identify each pair of angles.

a)

alternate exterior

b)

same-side interior

c)

corresponding

d)

alternate interior

81.

Identify each pair of angles.

a)

vertical

b)

corresponding

c)

alternate exterior

d)

alternate interior

82.

1) Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

83.

What is the relationship between angles A and B?

a)

corresponding

b)

alternate interior

c)

alternate exterior

d)

supplementary

84.
What is the Angle Relationship
a)

Alternate

b)

Vertically opposite

c)
Corresponding
d)

Co-interior

85.
Angle C and P are...
a)
Alternate Interior Angles
b)

Same Side Interior Angles

c)
Corresponding Angles
d)
Alternate Exterior Angles
86.
Identify the angle pair.
a)
Complementary angles
b)
Congruent angles
c)
Linear Pair
d)
Vertical Angles
87.

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

88.

What are complementary 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.