Download A. x = 0 B. x = 1 C. y = 2

Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
1
A.
B.
C.
D.
2
A.
B.
C.
D.
3
What does the symbol
represent?
4
segment AB
line AB
Ray AB
Ray BA
"Two rays sharing a common endpoint" is the
definition of which term?
angle
chord
line segment
secant
If triangle ABC is rotated 90 degrees
clockwise about the origin, what are the
coordinates of B'?
A.
B.
C.
D.
5
A.
B.
C.
D.
In this diagram where is the line of reflection?
(–4, –1)
(4, 1)
A.
B.
C.
D.
x=0
x=1
y=2
y = 3.5
The vertices of parallelogram ABCD are
A(2 , 1), B(3 , 4), C(5 , 3), and D(4 , 0). ABCD is
reflected over the x–axis to create
parallelogram QRST. What are the
coordinates of QRST?
Q(–2 , 1), R(–3 , 4), S(–5 , 3), T(–4 , 0)
Q(–2 , –1), R(–3 , –4), S(–5 , –3), T(–4 , 0)
Q(1 , 2), R(4 , 3), S(3 , 5), T(0 , 4)
Q(2 , –1), R(3 , – 4), S(5 , –3), T(4 , 0)
(1, –4)
(1, 4)
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Page 1
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
6
In this diagram, what is the BEST description
of the transformation shown?
8
Equilateral triangle ABC is shown below.
Triangle ABC is then rotated 60 degrees
clockwise about vertex C to produce triangle
A'B'C'.
Select each statement that is true based on
the definition of a rotation.
A. Vertex C and vertex C' are located in the same
place.
B. The measure of ∠B'C'A' is 120° since 60 + 60 =
120.
C. The measure of ∠B' is 60° since the measure of
∠B is 60°.
D. The measure of ∠BCB' is 60° since 60° is the
angle of rotation.
A.
B.
C.
D.
Reflection
9
Rotation
Translation
Which statements are true for all rotations
about the origin? Select three that apply.
A. Angles are taken to angles of the same
measure.
Dilation
B. Perpendicular lines are taken to perpendicular
7
A.
B.
C.
D.
The vertices of ∆ABC are A(–4, 2), B(6, 6), C(2,
7). A translation maps point A to the point
A'(6, –3). If B and C are mapped by the same
translation, what are the coordinates of B' and
C'?
lines.
C. Circles are taken to circles of the same center
and radius.
D. Line segments are taken to line segments of the
same length.
B'(–4, 11), C'(–8, –12)
B'(8, 5), C'(4, 6)
10
B'(12, 3), C'(8, 4)
B'(16, 1), C'(12, 2)
A.
B.
C.
D.
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A triangle with coordinates A(1, 1), B(4, 2),
C(3, 5) is translated three units down and five
units to the left. What are the coordinates of
the new triangle?
A'(–2, –4), B'(1, –3), C'(0, 0)
A'(–4, –2), B'(–1, –1), C'(–2, 2)
A'(–4, –2), B'(–7, –3), C'(–6, 0)
A'(–4, –2), B'(–1, –3), C'(–2, –6)
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Page 2
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
11
A.
B.
C.
D.
12
Name the type of congruence transfomation from
XYZ to X'Y'Z'.
13
reflection
rotation
In the figure above, the black shape is a dilation
of the green shape. What is the scale factor of
the dilation, and what is the center of the
dilation?
translation
dilalation
Calculate the length of the side LN given the
following data for 37°.
Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754
A. scale factor: 3; center: 3, 0
B. scale factor: 3; center: 0, 0
C. scale factor: 2; center: 1/2, −1
D. scale factor: 11/2 ; center: 11/2, −3
E. scale factor: 1/2 ; center: 0, 0
F. scale factor: 1/2 ; center: 3, 0
G. scale factor: 1/3 ; center: 0, 0
14
A.
B.
C.
D.
53
9.97
7.96
7.51
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A.
B.
C.
D.
Determine which pair of trigonometric values
is equivalent.
cos 38°, sin 38°
cos 65°, sin 25°
sin 71°, sin 19°
cos 113°, cos 67°
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Page 3
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
17
15
Which congruence statement(s) can be
proven using the givens and the figure
above?
A. ΔQRP ≅ ΔSRT only
B. ΔRQP ≅ ΔTRS only
C. ΔPQR ≅ ΔSTR only
D. All three of the congruence statements above
Which of the following could be a two–
dimensional figure that results when a plane
intersects this right circular cylinder? Select
three that apply.
A.
B.
C.
D.
18
can be proven.
16
A right circular cylinder is shown below.
Triangle PQR is shown below.
circle
ellipse
triangle
rectangle
Jeffry needs to create a triangle for his woodworking project. He knows that one side of the
triangle needs to be 15 inches long and the
hypotenuse needs to be 45 inches long. He has
diagrammed his project (below) and needs help
to find the measure of angle Z where he plans to
cut his board.
When triangle PQR is rotated about side QR,
which of the following three–dimensional
figures is created?
A.
B.
C.
D.
cone
cylinder
pyramid
triangular prism
A.
B.
C.
D.
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70.5°
19.5°
18.4°
78.2°
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Page 4
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
19
Right triangle PQR is shown.
21
Declan is a park ranger at Niagara Falls. One day
during his shift a man rides over the falls in a
barrel. Declan knows that the distance from his
observation tower station to the ranger station
near the top of the falls is 736 feet. The man is at
an angle of 126° with a line connecting the two
stations. The ranger at thebridge station reports
that the angle from hisstation to the man is 23°.
How far is the man from Declan?
Which trigonometric ratios are equivalent to
3
? Select two that apply.
5
A.
B.
C.
D.
E.
20
cos P
sin P
cos R
sin R
tan R
A right circular cone is shown below. The
radius of the base of the cone is 30 cm and
the height of the cone is 40 cm.
A.
B.
C.
D.
22
Select each shape that could be the two–
dimensional cross–section of this cone.
A.
B.
C.
D.
circle
A.
B.
C.
D.
558.4 feet
1661.5 feet
592.9 feet
394.8
"All points between and including two given
points" defines which term below?
ray
plane
circle
line segment
ellipse
right triangle
isosceles triangle
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Page 5
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
23
Look at this right triangle.
26
What is the slope of a line parallel to the line
y=–
3
x + 3?
2
A.
–
3
2
B.
–
2
3
C.
2
3
D.
3
2
27
Find the volume of a sphere with a diameter
of 22m. Round to the nearest tenth.
What is the area of ΔDEF?
A.
B.
C.
D.
24
25 square units
50 square units
25 sqrt
5 square units
50sqrt 5 square units
Select each transformation that carries a
square onto itself.
A. a reflection over one of the square's sides
B. a reflection over one of the square's diagonals
C. a rotation of 90° clockwise about the square's
center
D. a rotation of 180° clockwise about the square's
center
A.
B.
C.
D.
28
E. a rotation of 180° clockwise about one of the
square's vertices
25
A.
B.
C.
D.
Tessa claims that a rotation of 90° clockwise
about the center of some polygons will carry
the polygon onto itself. Select two polygons
that support Tessa's claim.
square
octagon
hexagon
rectangle
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44,579.6 m3
5572.4 m3
1393.1 m3
506.6 m3
Danny is building a pyramid modeled after
one of the Great Pyramids of Giza in Egypt.
The Great Pyramid has a height of 480 feet
and a square base with a side measuring 755
feet.
If Danny builds the pyramid to one–eightieth
the size, what will the volume be for his
pyramid? (Round all numbers to the nearest
tenth.)
A.
B.
C.
D.
18.8 ft3
176.7 ft3
530.1 ft3
1,140,050 ft3
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Page 6
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
29
A grain silo is approximately 85% full. A 55 lb
sack of grain measures 2 cubic feet.
What is the best estimate of the number of
bags of grain that can be filled using all the
grain in the silo?
A.
B.
C.
D.
1708 bags
2010 bags
6833 bags
32
What will be the coordinates of B'?
A.
B.
C.
D.
A.
B.
C.
D.
31
A.
(2 , 3)
(2 , 1)
(2 , 0)
(0 , 2)
8038 bags
33
30
Triangle ABC is reflected over the line y = 1 to
produce triangle A'B'C'.
Square ABCD is shown below.
How many times do parallel lines intersect?
0
1
2
3
Select each statement that is true for all
reflections in the coordinate plane.
Square ABCD is reflected about side BC.
Which of the following statements are true?
Select three that apply.
A point that is mapped to itself after a reflection
is on the line of reflection.
B. A line segment connecting a point and its image
will be perpendicular to the line of reflection.
C. The distance between a point and its image will
be twice the distance between the point and the
line of reflection.
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A.
B.
C.
D.
Vertex B is the midpoint of AA'.
Side BC is parallel to AA'.
The length of CD is equal to the length of C'D'.
Vertex C and vertex C' are located at the same
point.
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Page 7
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
34
Anthony draws parallelogram ABCD below
and investigates the reflections and rotations
that carry it onto itself.
37
After examining the following graph, Kate
claims that WXYZ is translated according to
the rule (x, y) → (x + 11, y – 2). Is she correct?
Anthony claims that a rotation of 360° is the
only transformation that carries parallelogram
ABCD onto itself.
Which of the following transformations could
be used to refute Anthony's claim? Select
three that apply.
A.
B.
C.
D.
35
A reflection over diagonal AC.
A reflection over diagonal BD.
A rotation of 90° clockwise about its center.
A rotation of 180° clockwise about its center.
A. Yes, Kate is correct.
B. No, WXYZ is translated by the rule
(x, y) → (x – 11, y + 2).
C. No, WXYZ is translated by the rule
(x, y)→ (x + 2, y – 11).
A circle is defined as
A. a flat surface extending in all directions.
B. all points between and including two given
points.
D. No, WXYZ is translated by the rule
(x, y) → (x – 2, y + 11).
38
C. a closed plane figure in which all sides are line
1
segments.
D. the set of all points that are a fixed distance from
A.
B.
C.
D.
On a sunny day, Elliot notices that a lamp
post casts a shadow on the ground. If the
shadow is 18 ft long and the lamp post is 13 ft
tall, what is the angle of elevation of the sun?
(Assume the lamp post is at a right angle to
the ground.)
of its actual size. What would be
10,000,000
a given point.
36
The radius of Earth is 20,903,520 feet. Mark
wants to make a model globe of Earth that is
the volume of Mark's globe? (Round to the
nearest tenth. Use π = 3.14.)
A.
B.
C.
D.
8.8 ft3
18.3 ft3
28.7 ft3
38.2 ft3
35.84°
43.76°
46.24°
54.16°
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Page 8
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
39
A.
B.
C.
D.
What must be the length of PQ in order for
ΔJKL to be similar to ΔPQR?
41
Based on the triangles shown below,
Theodore claims that ΔTUV is similar to
ΔWXY with a scale factor of 3:2. Is Theodore
correct?
8
15
18
A. Yes, the triangles are similar with a scale factor
of 3:2.
19
B. No, the triangles are similar with a scale factor of
40
Which pair of the following figures is similar?
A.
2:1.
C. No, the triangles are similar with a scale factor of
2:3.
D. No, the triangles are similar with a scale factor of
4:3.
B.
C.
42
A.
B.
C.
D.
43
D.
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A.
B.
C.
D.
A tree is standing next to a 40 foot high building.
The tree has an 18 foot shadow, while the
building has a 16 foot shadow. How tall is the tree
rounded to the nearest foot?
42 feet
36 feet
45 feet
7 feet
Which of the following is NOT a valid Triangle
Congruence Theorem?
SSS
ASA
SAS
SSA
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Page 9
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
44
Mikhail draws triangles ABC and DEF, as
shown below, and claims that the two
triangles are similar.
Select all methods that can be used to justify
the claim.
A. show that ∠C ≅ ∠D and that all corresponding
45
What is the volume of the right cylinder
pictured below?
A. 69 π mm3
B. 80 π mm3
C. 150 π mm3
D. 600 π mm3
sides are congruent
B. show that ∠C ≅ ∠D and that all corresponding
46
Find the volume of the pyramid and round to
the nearest tenth.
sides are proportional
C. show that a sequence of rotations, reflections,
and translations carries triangle ABC onto
triangle DEF
D. show that a sequence of rotations, reflections,
translations, and dilations carries triangle ABC
onto triangle DEF
A.
B.
C.
D.
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33.3 cm3
37.5 cm3
66.7 cm3
100 cm3
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Page 10
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
47
Which theorem or postulate can be used to
prove ΔRPQ ≅ ΔRST?
49
A semi–circle with points A and B is shown
below.
Given R is the midpoint of QT and QT bisects
PS at R.
When the semi–circle is rotated about the
side AB, which of the following three–
dimensional figures is created?
A.
B.
C.
D.
48
A.
B.
C.
D.
SSS
SSA
SAS
A.
B.
C.
D.
cone
cylinder
cube
sphere
There is not enough information to prove these
triangles are congruent.
Roberto is driving his car in a race and needs
to plan how far he is going to go and how
much gas he needs. The race track is in the
shape of a triangle. He needs to know the
distance of x so he can plan properly. All
distances are miles. Find the value of x.
Round to the nearest tenth.
2.4 miles
1.79 miles
1.1 miles
None of the above
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Page 11
Geometry February Break Extra Credit
Assessment ID:
ib.573505
Directions: Answer the following question(s).
50
A bowl is shown below. The diameter of the
bowl is 5 inches at its opening and 3 inches at
its base. The bowl's height is 4 inches.
51
A driveway is shown below with all of the
dimensions given in feet.
Kellie develops the three models below to
estimate the amount of cereal that can be
placed in the bowl.
Model 1: A half–sphere with a diameter of 5
inches
Model 2: A cylinder with a diameter of 3
inches and a height of 4 inches
Model 3: A cylinder with a diameter of 5
inches and a height of 4 inches
Which statement is true regarding the amount
of cereal that can be placed in the bowl?
A. Model 1 overestimates the amount of cereal,
while Models 2 and 3 underestimate the amount
of cereal.
The driveway needs to be resurfaced. What is
the best estimate of the area of the driveway?
A.
B.
C.
D.
52
B. Model 3 overestimates the amount of cereal,
cereal, while Model 2 underestimates the
amount of cereal.
D. Models 1, 2, and 3 all overestimate the amount
of cereal.
125π ft2
225π ft2
500π ft2
A lumberyard is asked to cut down a portion
of a forest in order to build a new school.
Which of the following would be least useful
in determining the volume of wood that the
lumberyard can expect?
while Models 1 and 2 underestimate the amount
of cereal.
C. Models 1 and 3 overestimate the amount of
100π ft2
A.
B.
C.
D.
53
the average age of the trees in the forest
the average number of trees per acre of forest
the dimensions of the average tree in the forest
the number of acres in the portion of the forest
to be cut down
A person wants to estimate the number of
fish that are in a lake.
Which of the following would be least useful
in determining the number of fish in a lake?
A.
B.
C.
D.
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the average number of fish per square mile
the length and width of the lake
the depth of the lake
the number of fish caught per day
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Page 12