Font size
S
M
L
XL
WorksheetsGeometry Final Review
Total questions: 150
Worksheet time: 4hrs 26mins
Name
Class
Date
1.
Find the exact area of the triangle
a)
30
b)
15
c)
9.64
d)
14.7
2.
Find the exact area of the triangle
a)
13.9
b)
13.77
c)
14
d)
27.85
3.
Find missing side
a)
5
b)
7
c)
9
d)
11
4.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
5.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
6.
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
7.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
8.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
9.
How long is side x?
a)
3
b)
1.5
c)
8
d)
2/3
10.
What is the area of the shaded region? Round to the nearest hundredth.
a)
1.26
b)
452.39
c)
113.10
d)
40715.04
11.
What is the area of the shaded region? Round to the nearest hundredth.
a)
50.27
b)
3015.93
c)
8.38
d)
4.19
12.
What is the area of the shaded sector?
a)
743.61 cm2
b)
655.39 cm2
c)
163.85 cm2
d)
None of the above
13.
What is the area of the shaded sector?
a)
69.78 ft2
b)
2791.11 ft2
c)
558.22 ft2
d)
697.78 ft2
14.
What is the area of the shaded sector?
a)
145.31 cm2
b)
20.76 cm2
c)
581.25 cm2
d)
470.13 cm2
15.
What is the area of the shaded sector?
a)
7.14 in2
b)
5.23 in2
c)
97.34 in2
d)
15.7 in2
16.
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
17.
Do three squares with side lengths of 6, 12, and 13 form a right triangle?
a)
Yes
b)
No
18.
Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.
a)
No, because 10+11 does not equal 13
b)
No, because 100+121 does not equal 169
c)
Yes, because there is a small side, medium side and long side
d)
Yes, because a triangle has 3 sides
19.
The triangular sail of a toy sailboat is supposed to be a right angle. The manufacturer says the sides of the sail have lengths of 4.5 inches, 6 inches, and 7 inches. Is the sail a right triangle?
a)
No
b)
Yes
20.
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
21.
Which set of side lengths form a right triangle?
a)
3, 4, 7
b)
33, 56, 65
c)
66, 72, 97
d)
10, 15, 25
22.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
23.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
24.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
25.
If a = 10 and b = 15, what the area of the red square?
a)
325
b)
18
c)
100
d)
225
26.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
27.
Solve for x.
a)
140
b)
89
c)
51
d)
38
28.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
29.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
30.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
31.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
32.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
33.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
34.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
35.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
36.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
37.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
38.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
39.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
40.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
41.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
42.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
43.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
44.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
45.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
46.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
47.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
48.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
49.
Find the measure of the missing angle.
a)
135o
b)
35o
c)
45o
d)
30o
50.
Find the measure of the angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
51.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
52.
What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?
a)
43
b)
58
c)
72
d)
101
53.
What slope is parallel to:
m = 3/4
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
54.
What slope is parallel to:
m = 4
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
55.
What slope is perpendicular to:
m = 5/8
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
56.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
57.
Which figure shows a set of lines that are intersecting are not perpendicular?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
58.
Which lines in the figure appear to be parallel?
a)
YZ and WX
b)
YZ and AB
c)
AB and CD
d)
AB and WZ
59.
Which lines in the figure appear to be perpendicular?
a)
YZ and WX
b)
YZ and AB
c)
AB and CD
d)
AB and WZ
60.
Perpendicular lines have the same slope.
a)
True
b)
False
61.
Parallel lines have the same slope
a)
True
b)
False
62.
The following represents slopes of two lines. Which answer choice describes the two lines?
m = 5 and m = -1/5
m = 5 and m = -1/5
a)
Parallel
b)
Perpendicular
c)
Neither
63.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
64.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
65.
What trig operation will be used to solve for x?
a)
tan
b)
arctan
c)
sin
d)
arcsin
66.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
67.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
68.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
69.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
70.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
71.
If you are performing a reflection over the y-axis, the rule is ...
a)
(x, y)
b)
(-x, y)
c)
(x, -y)
d)
(y, x)
72.
When performing a translation, or slide, you _____ the numbers to your x and y value in the point.
a)
add
b)
subtract
c)
multiply
d)
divide
73.
To bisect something means to ...
a)
cut in half equally
b)
cut in quarters
c)
break apart
d)
cut in thirds
74.
To bisect something means to ...
a)
cut in half equally
b)
cut in quarters
c)
break apart
d)
cut in thirds
75.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
76.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
77.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
78.
Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
80.
Which answers are showing a reflection?
a)
a and c
b)
b and c
c)
c and d
d)
a and d
80.
Which answers are showing a reflection?
a)
a and c
b)
b and c
c)
c and d
d)
a and d
81.
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)
82.
What does congruent mean?
a)
angles faces and sides or two of the same things
b)
Same size and shape
c)
same geometric angles
d)
equal measurement
83.
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
84.
Which angle is congruent to <C?
a)
<O
b)
<E
c)
<G
d)
<A
85.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
86.
Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).
a)
(1, 3)
b)
(3.5, -.5)
c)
(-.5, 3.5)
d)
(6, -.5)
87.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
88.
Find the midpoint of the segment with the endpoints: (-4, 5) and (7, -9)
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
89.
Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)
a)
(-9, -9)
b)
(-3, -4)
c)
(-3, 4)
d)
(-4, -3)
90.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
91.
Find the distance between (-9, -1) and (-2, -6).Round to the nearest tenth.
a)
8.6
b)
12.1
c)
9.9
d)
13.0
92.
Find the distance between (12, -5) and (2, -5).Round to the nearest tenth.
a)
14.1
b)
10
c)
8
d)
14
93.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
94.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
95.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
96.
Which angle is vertical to Angle AED ?
a)
Angle AEB
b)
Angle DEB
c)
Angle AEC
d)
Angle CEB
97.
Find the value of x?
a)
16
b)
148
c)
68
d)
32
98.
What is the value of x?
a)
52
b)
48
c)
38
d)
128
99.
a)
26
b)
64
c)
116
d)
36
100.
If m∠1 = 30°, then m∠3 =
a)
30°
b)
60°
c)
150°
d)
undetermined
101.
Find the m∠3
a)
28
b)
152
c)
180
d)
62
102.
m<d = 70 degrees
What is the m<h?
What is the m<h?
a)
70
b)
65
c)
140
d)
110
103.
What is measure of angle 1?
a)
88
b)
100
c)
180
d)
94
104.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
110
b)
Alternate Exterior
110
110
c)
Corresponding
70
70
d)
Alternate Exterior
70
70
105.
What is the area of this rectangle?
a)
26 centimeters
b)
40 square centimeters
c)
35 square centimeters
d)
13 centimeters
106.
What is the area of this rectangle?
a)
21 centimeters
b)
42 centimeters
c)
108 square centimeters
d)
99 square centimeters
107.
What is the area of this rectangle?
a)
40 square centimeters
b)
45 square centimeters
c)
28 centimeters
d)
50 square centimeters
108.
The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length?
a)
9 units
b)
7 units
c)
10 units
d)
8 units
109.
Classify the triangle
a)
Obtuse
b)
Equilateral
c)
Scalene
d)
Right
110.
Classify the triangle
a)
Obtuse
b)
Acute
c)
Right
111.
Classify the triangle
a)
Scalene
b)
Isosceles
c)
Equilateral
112.
Classify the triangle
a)
Scalene
b)
Right
c)
Isosceles
d)
Equilateral
113.
How many equal sides does an equilateral have?
a)
1
b)
2
c)
3
d)
4
114.
What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
d)
Obtuse
115.
The next term of the sequence 2,4,8,16 are
a)
64
b)
32
c)
108
d)
20
116.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
117.
When naming a plane, we should use ________
a)
2 points
b)
a lower case cursive letter
c)
3 points
d)
3 noncollinear points
118.
Which of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."
"If you are a guitar player, then you are a musician."
a)
If you are not a guitar player, then you are not a musician.
b)
If you are a musician, then you are a guitar player.
c)
If you are a guitar player, then you are not a musician.
d)
If you are not a musician, then you are not a guitar player.
119.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
120.
Conditional: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
121.
Which of the following is the inverse to the statement:
"If you diet and exercise, then you will lose weight."
"If you diet and exercise, then you will lose weight."
a)
If you don't diet and exercise, then you will not lose weight.
b)
If you don't diet and exercise, then you will lose weight.
c)
If you lose weight, then you dieted and exercised.
d)
If you don't lose weight, then you diet and exercise.
122.
What is the probability of choosing a red chip from a bag containing 3 red, 2 blue, and 5 yellow chips?
a)
3/10
b)
3/7
c)
3/2
d)
3/5
123.
A set of counters is numbered 1, 2, 3, …, 12. Suppose you draw one counter without looking. What is the probability of choosing a number less than 4?
a)
1/3
b)
1/6
c)
1/12
d)
1/4
124.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
125.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
126.
a)
100°
b)
80°
c)
90°
d)
180°
127.
Use the pythagorean theorem to find the missing side
a)
5
b)
√194
c)
25
d)
6
128.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
129.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
130.
1. Find the area of this circle.
a)
12.56
b)
50.24
c)
25.12
d)
8
131.
Area is always in ____ units.
a)
square
b)
cubic
c)
quadratic
d)
linear
132.
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
133.
Are the polygons similar?
a)
Yes
b)
No
134.
Find x.
a)
√100
b)
14
c)
10
d)
√14
135.
What is the volume of the triangular prism?
a)
960
b)
1920
c)
3840
d)
2400
136.
What is the measure of the missing angle?
a)
25
b)
45
c)
50
d)
70
137.
Whats the altitude of this triangle
a)
19
b)
6
c)
23
d)
10
138.
Point (-5,2) is reflected over the y axis. Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
139.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
140.
Find the measure of the missing angle.
a)
A
b)
B
c)
C
d)
D
141.
How many sides does a Quadrilateral have?
a)
4
b)
3
c)
6
d)
9
142.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
143.
Which of the following is a diameter of the circle?
a)
AI
b)
GE
c)
FG
d)
AF
144.
Which expression can be used to find the length of AT?
a)
5/cos61⁰
b)
5(cos61⁰)
c)
5/sin61⁰
d)
5(cos61⁰)
145.
Which expression can be used to find the measure of angle x in degrees?
a)
tan⁻¹(5/3)
b)
cos⁻¹(4/5)
c)
sin⁻¹(5/4)
d)
cos⁻¹(3/5)
146.
Solve for x
a)
2/3 = x/16
b)
1/4 = 6/x
c)
3/2 = 22/x
d)
22/6 = 4/x
147.
A triangle has side lengths of 27, 29, and 84. Is it a right triangle?
a)
Yes
b)
no
c)
maybe
d)
not enough information
148.
Find tan P
a)
4/5
b)
5/4
c)
4/3
d)
3/4
149.
Find tan Q
a)
4/3
b)
3/4
c)
4/5
d)
5/4
150.
A jar contains 2 blue cubes, 5 blue spheres, 2 green cubes, and 5 green spheres. If you select an object at random, what is the probability that the object is green or a cube?
a)
11/14
b)
9/14
c)
28/14
d)
2
Reset
