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WorksheetsGeometry Applications review
Total questions: 150
Worksheet time: 29hrs 58mins
Name
Class
Date
1.
What is a line?
a)
A straight set of points that goes on forever in both directions
b)
A curved set of points that goes on forever in both directions
c)
A straight set of points that goes on forever in one direction only
d)
A straight set of points that does not go on forever in either direction
2.
What is a ray?
a)
A straight line that goes on forever in both directions
b)
The part of a line with two endpoints that do not go on forever
c)
A part of a line that starts with an endpoint and goes on forever in the opposite direction
3.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
4.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
5.
How many line(s) of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
6.
How many line(s) of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
7.
Which of these is NOT a rigid transformation?
a)
Dilation
b)
Rotation
c)
Translation
d)
Reflection
8.
Segments linking a vertex in the pre-image to a corresponding vertex in the image after a translation are congruent and _____________ to each other.
a)
parallel
b)
perpendicular
c)
similar
d)
coplanar
9.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
10.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
11.
a)
A
b)
C
c)
D
12.
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)
13.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
14.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
15.
What additional information is required for the 2 triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
16.
What is the justification for step #2 in this proof?
a)
Alternate Exterior Angles
b)
Same-Side Interior Angles
c)
Alternate Interior Angles
d)
They just look cool
17.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!!
18.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
19.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
20.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
21.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
22.
The centroid is the point of concurrency of the 3 ____ of a triangle.
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
23.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
24.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
25.
WHAT IS THE VALUE OF X?
a)
-7
b)
9.4
c)
7
d)
-9.4
26.
Solve for x:
a)
4
b)
360
c)
12
d)
6
27.
In the diagram, MATH is a rhombus with diagonals AH and MT If m∠HAM=12o, what is m∠AMT?
a)
12o
b)
78o
c)
84o
d)
156o
28.
A rhombus is a parallelogram with
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
29.
Name the construction.
a)
Median
b)
Perpendicular bisector
c)
Perpendicular line to a point not on the line
d)
Perpendicular line to a point on the line
30.
Name the construction.
a)
Corresponding angles
b)
Parallel line to a point not on the line
c)
Perpendicular line to a point not on the line
d)
Angle bisector
31.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
32.
Using a quadratic model, find the height of the ball when it traveled a distance of 10 feet.
a)
12.8 ft
b)
13.3 ft
c)
11.1 ft
d)
17 ft
33.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
34.
A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
a)
-4
b)
2
c)
4
d)
8
35.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
36.
What is the common ratio for the sequence:
3, 15, 75...
Reminder: common ratio is common multiple used to get the next output
3, 15, 75...
Reminder: common ratio is common multiple used to get the next output
a)
12
b)
1/5
c)
5
37.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
38.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
39.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
40.
Which of the following transformations will result in an image that is similar, but not congruent, to its original image?
a)
translation
b)
reflection
c)
rotation
d)
dilation
41.
Are the triangles similar?
a)
Yes
b)
No
42.
Find the height of the building.
a)
74
b)
100
c)
104
d)
108
43.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not enough information to justify similarity
44.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not enough information to justify similarity
45.
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
46.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
47.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
48.
If the intersection of two lines forms four congruent right angles, the lines are said to be perpendicular.
What could be done to make this definition more concise yet still valid?
a)
remove "congruent right"
b)
remove either "congruent" or "right," but not both
c)
remove "four congruent right"
d)
change "four" to "two" and remove "right"
49.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
50.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
51.
What is the value of AB?
a)
22
b)
35
c)
15
d)
20
52.
a)
3
b)
14
c)
13/8
d)
6
53.
a)
10
b)
50
c)
25
d)
-100
54.
a)
a=60, b=30
b)
a=30, b=30
c)
a=60, b=60
d)
a=90, b=30
55.
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
56.
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
57.
The figure is a parallelogram
Solve for x:
Solve for x:
a)
9
b)
6
c)
10
d)
2
58.
Find the probability of drawing a 10 from a standard deck of 52 cards.
a)
1 out of 52
b)
13 out of 52
c)
26 out of 52
d)
4 out of 52
59.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
60.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
61.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
62.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A U B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
63.
Suppose 10 out of 15 students surveyed said that they were going to attend the football game. How many of the 3500 students in the school would you expect to attend the football game?
a)
17500
b)
5250
c)
2333
d)
1050
64.
An ice-skating rink inspects 25 pairs of skates and finds 2 pairs to be defective. The rink has 175 pairs of ice skates. Predict the number of pairs that are likely to be defective.
a)
14
b)
50
c)
7
d)
65
65.
Given the following VENN Diagram answer the following
P( B | A )
a)
.4
b)
.25
c)
.5
d)
.67
66.
Consider the following table with information about all of the students taking Statistics at Happy High School.
P( Male | Full-time)
a)
28/71
b)
3/7
c)
12/71
d)
3/10
67.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
68.
What is the probability that a female is chose given they like a Toyota?
a)
.525
b)
.4627
c)
.6774
d)
.3143
69.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
70.
Experimental Probability is:
a)
What Will happen
b)
What actually happens
c)
What should happen
d)
What I think Happens
71.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
72.
What is the Favorable Outcome
a)
All of the Outcomes
b)
What Will Happen
c)
What Can Happen
d)
What I want to Happen
73.
Find the experimental probability:
Roll dice: 1, 3, 3, 4, 4
P(3) =
Roll dice: 1, 3, 3, 4, 4
P(3) =
a)
3/5
b)
1/6
c)
2/5
d)
1/3
74.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?
a)
2/52
b)
4/52
c)
16/52
d)
26/52
75.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
76.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
77.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
78.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
79.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
80.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
81.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
82.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
83.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
84.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
85.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
86.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
87.
I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
88.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
89.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
90.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
91.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
92.
find X
a)
52
b)
33
c)
41
d)
29
93.
Find m<C
a)
A
b)
B
c)
C
d)
D
94.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
95.
Find angle A
a)
53.6
b)
13.3
c)
113.1
96.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
97.
Find XZ
a)
16.004 meters
b)
544.165 meters
c)
34.7 meters
d)
1204.165 meters
98.
What is the name of this polygon?
a)
a pentagon
b)
a quadrilateral
c)
an octagon
d)
a triangle
99.
Polygon or non-polygon?
a)
Polygon
b)
Non-Polygon
100.
Is this shape a POLYGON?
a)
Yes
b)
No
101.
Which of the following is NOT true for this shape?
a)
Opposite sides are parallel
b)
Opposite sides are equal
c)
Opposite angles are equal
d)
All angles are equal
102.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles.
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
103.
TUVW is a rhombus. Find m∠2.
a)
62
b)
28
c)
90
d)
78
104.
Find the measure of angle b.
a)
b=51
b)
b=129
105.
Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.
a)
6
b)
11
c)
7
d)
5
106.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
107.
The measure of the interior angles of a parallelogram add up to 360 degrees.
a)
Never
b)
Sometimes
c)
Always
108.
Find the measure of the angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
109.
What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
110.
What type of triangle is this?
a)
scalene
b)
acute
c)
equilateral
d)
isosceles
111.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
112.
What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?
a)
ASA
b)
SAS
c)
SSS
d)
HL
113.
What postulate proves these triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
ASA
114.
What postulate proves these triangles congruent?
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
115.
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)
116.
What is the reason?
a)
Definition of Angle
b)
Definition of Congruence
c)
Definition of bisects
d)
Definition of midpoint
117.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
118.
What additional information is required in order to know that the triangles are congruent by HL Theorem?
a)
∠G ≅ ∠X
b)
∠H ≅ ∠V
c)
GI ≅ XV
d)
GH ≅ XW
119.
Determine the response for #4 in the proof.
a)
Given
b)
All right angles are congruent
c)
angle ECD is congruent to angle ACB
d)
triangle CDE is congruent to triangle CBA
e)
CPCTC
120.
Find the volume of the figure. Round to the nearest tenth.
a)
128.6 units³
b)
1,286.1 units³
c)
401.9 units³
d)
5,144.6 units³
121.
Find the volume of the figure. Round to the nearest hundredth.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
122.
The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?
a)
4,188.8
b)
1,333.3
c)
2,364.3
d)
5,000.3
123.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
124.
What is the volume of the following triangular prism?
a)
1120 cubic ft
b)
373.3 cubic ft
c)
560 cubic ft
d)
186.6 cubic ft
125.
Jesse needs to wrap the present shown below. How much wrapping paper would he need?
Which formula can be used to find the surface area of the present?
Which formula can be used to find the surface area of the present?
a)
SA=Ph+2B
b)
SA=2πrh+2πr2
c)
SA=Ph
d)
V=Bh
126.
What is the lateral area of the prism?
a)
299 units2
b)
21 units2
c)
320 units2
d)
784.9 units2
127.
Find the total surface area of the prism.
a)
1,909,440 in2
b)
876 in2
c)
792 in2
d)
1,872 in2
128.
Mr. Murphy wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so he will know how much paint to buy. The shed is in the shape of a rectangular prism shown below.
Including the doors, what is the lateral surface area of the storage shed in square feet?
Including the doors, what is the lateral surface area of the storage shed in square feet?
a)
784 ft2
b)
266 ft2
c)
532 ft2
d)
336 ft2
129.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
130.
a)
Spheres
b)
Cones
c)
Cylinders
d)
Prisms
131.
a)
1767cm cubed
b)
236cm cubed
c)
987cm cubed
d)
1698cm cubed
132.
What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...
1, 1, 2, 3, 5, 8, 13, ...
a)
17
b)
20
c)
21
d)
24
133.
If something is an angle, then it is acute. What is an appropriate counter-example?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
134.
Use inductive reasoning to finish the pattern: 400, 200, 100, 50, ____
a)
-150
b)
25
c)
12.5
d)
0
135.
Vertical angles are:
a)
Complimentary
b)
Supplementary
c)
Congruent
d)
Adjacent
136.
What is the supplement of 130 degrees?
a)
70 degrees
b)
30 degrees
c)
50 degrees
d)
80 degrees
137.
A conjecture is:
a)
a false example in a compound statement
b)
a compound statement using and or nor
c)
a concluding statement reached during inductive reasoning
d)
an educated guess based on empirical data, collected by a calculator
138.
a)
therefore
b)
or
c)
and
d)
not
139.
a)
not
b)
therefore
c)
and
d)
or
140.
Which statement is a conjecture about the sum of two odd numbers?
a)
Their sum is even
b)
Their sum is 14
c)
Their sum is odd
d)
Their sum is positive
141.
Inductive Reasoning means...
a)
Guessing
b)
Testing and observing patterns to make conjectures
c)
Explaining why
d)
Adding numbers together
142.
Determine if the following conjecture is true; if not, give a counterexample:
Two complementary angles are both acute.
a)
True
b)
False; 25 + 35 = 60
c)
False; 110 + 70 = 180
d)
False; 60 + 120 = 180
143.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
144.
Which describes the transformation of
f(x) = x2 to the graph of g(x) = 4x2?
f(x) = x2 to the graph of g(x) = 4x2?
a)
vertical stretch
b)
horizontal stretch
c)
vertical compression
d)
horizontal compression
145.
Which describes the transformation of
f(x) = x2 to the graph of g(x) = -x2?
f(x) = x2 to the graph of g(x) = -x2?
a)
reflection across x-axis
b)
reflection across y-axis
c)
vertical compression
d)
horizontal compression
146.
Find a and b.
a)
a=74 degrees
b=93 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
b=87 degrees
147.
Find a.
a)
a = 57 degrees
b)
a = 123 degrees
c)
a = 94 degrees
d)
a = 29 degrees
148.
What is the center of the circle circumscribed about this triangle?
a)
(-1, 1)
b)
(1, 2)
c)
(0.5, 1)
d)
(-5, 1)
149.
Find measure of angle R.
a)
24
b)
41
c)
67
d)
139
150.
Did you prepare for this Geometry OST all semester?
a)
Yes
b)
NO
c)
MakeGeometryGreatAgain
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