Accelerated Geometry
nd
2 semester
Review questions 2016
Acc. Geometry Formula Sheet
for practice exam questions
•
•
•
•
•
•
•
•
•
LA = ph
LA = ½ pl
SA = LA + B
SA = LA + 2B
SA = 4πr2
V = Bh
V = 1/3(Bh)
V = 4/3(πr3)
d = (x2-x1)2+(y2-y1)2
Geometry Section(s)__8.4__ 5-26-16 3rd hour Calculator #1
Question #1
8 feet
Tina is designing a tent. One
side of the tent is a triangle.
It has a base length of 12 feet
and an edge length of 8 feet.
She will also be making the side of the tent
out of fabric. How much fabric will she need to
make the side of the tent? Round to the nearest
tenth of a foot. Area=X.
A. X=31.7ft
B. X=48ft^2
C. X=48ft
D. X=31.7ft^2
12 feet
Geometry Section(s)__8.4__ 5-26-16 3rd hour Calculator #1
Question #2
Alex is creating a new game. In order to
make the new game, he had to make a new
board. The board is in a triangle shape. The
altitude of the game board is 3.85 inches.
The slanted edge of the board, referred
to as the hypotenuse, has a length of
4.5 inches. What is the area of the
face of the new game board?
Round your answer to the nearest tenth of an inch. X=Area.
A. X=8.9in^3
B. B. X=9^2
C. C. X=9in^2
D. D. X=8.9in
Geometry Section(s)__8.4__ 5-26-16 3rd hour Calculator #1
Question #3
Nick was helping his sister with her
homework. She had to find the area
of a triangle. The triangle was a right
triangle and had legs with lengths
8cm and 10cm. What is the area of
the triangle with measurements given
above?
Also, please state the equation Nick used to get the area.
Area=X.
A. 80 cm^2 - 8x10=X
C. 40 cm^2 - (8x10)/2=X
B. 18 cm^2 - 8+10=X
D. 9cm^2 - (8+10)/2=X
Geometry Section(s) 13-6 5-20-16 3 hour Calculator #2
1)
Emiliya walks into the DIA, and sees a lovely painting of Mr. Senecal by
Van Gogh. To fully view it, she has to hold her head at an uncomfortable 48 degrees.
She is 6’ 3”, at eye level, and is wearing her 14” Gucci platform heels. The painting is
on a golden pedestal, 50’ up (so that no being can destroy its beauty). Emiliya is in
such shock, that she can only view its glory from 19’ away. But, being as Emiliya is a
rebel, she wants to touch the painting. So, she pulls out her collection of swords,
which are 20’ each. How many swords will she have to glue together, to be able to
barely touch Mr. Senecal’s face, while balancing them on her nose? Round to the
nearest thousandth.
A) 2.865 swords
B) 2.525 swords
50’
C) 1 sword
14”
D) 3.364 swords
19’
Geometry Section(s) 13-6 5-20-16 3 hour Calculator #2
2)
You are indulging yourself in one of your favorite hobbies: building houses
out of playing cards. You’ve almost finished with this exact replica of Mrs. Morford’s
house, and are placing the last card on the roof. You’d like the cards to touch
exactly, for aesthetic reasons. Due to your prior job in card manufacturing, you
know that the ratio of length to width of a playing card is 14:9, but you’re unsure of
the exact dimensions of each card. Using the diagram below, find the angle at which
you must set the diagonal card (which is folded) to the base card. Round to the
nearest degree.
OTHER CARD (LENGTH)
A) 57°
B) 40.05°
C) 33°
D) 57.3°
?
BASE CARD (WIDTH)
Geometry Section(s) 13-6 5-20-16 3 hour Calculator #2
3)
At Teodore’s flower appreciation party (he’s really into gardening), a giant
cake has been prepared. The cake itself is rectangular, but along the edges, two
layers of rose petals have been imitated using icing. The bottom layer is pink, and
the top layer is purple. The diagonal length of the pink layer is twice that of the
purple layer, at 4”. As a whole, the cake’s shape is a truncated cone, which makes a
57.5 degree angle with the ground. At its widest, the cake is 5’ long. Using the
diagram below, find the width of the purple icing. Round to the nearest thousandth.
A) 1.075”
B) 44.668”
C) 3.722’
D) 12.920”
57.5 °
5’
Geometry Section(s) 9-9 5-27-16 3rd hour Calculator #3
#1
What is the surface area of half of a cylinder with a diameter of 10
cm and a height of 42 cm? (See picture). Round your answer to
the nearest hundredth. Use the π key for π.
A.) 1,476.55 cm2
B.) 1,158.27 cm2
C.) 1,818 cm2
42 cm
D.) 1,869.55 cm2
10 cm
Geometry Section(s) 9-9 5-27-16 3rd hour Calculator #3
#2
What is the surface area of the net of a hexagonal prism with a
height of 13 inches and a base edge of 6 inches? (See picture).
Round your answer to the nearest square inch.
6 in
A.) 540 in2
B.) 842 in2
C.) 562 in2
D.) 655 in2
13 in
Geometry Section(s) 9-9 5-27-16 3rd hour Calculator #3
#3
A cylinder has a radius of 75 cm and a height of 391 cm. (See
picture). What is the surface area of the cylinder in meters? Leave
your answer in terms of π.
A.) 699π m2
B.) 69900π m2
391 cm
C.) 6.99π m2
D.) 69.9π m2
r = 75 cm
Geometry Section(s) 6-3 5-20-16 3rd hour Calculator #4
1) Given the measure of arc AC is 120 degrees,
what is the measure of angle ABC
A
A. 120 Degrees
B. 60 Degrees
C. 40 Degrees
D. 30 Degrees
120°
B
C
Geometry Section(s) 6-3 5-20-16 3rd hour Calculator #4
2) If in the same circle, measure of arc AC equals 80 degrees and measure of angle BCA
equals 80, then what is the measure of angle BAC?
A.
B.
C.
D.
40 Degrees
80 Degrees
60 degrees
90 Degrees
A
80°
B
80°
C
Geometry Section(s) 6-3 5-20-16 3rd hour Calculator #4
3) In a circle it is given that the measure of angle BCA equals 37 degrees and the
measure of arc AC equals 78 degrees.
Find the measure of angle BAC.
A
X
A. 39 degrees
78°
B
B. 115 Degrees
C. 96 degrees
37°
D. 104 Degrees
C
Geometry Section: 9-3 5-20-16
3rd hour Calculator #5
___
1. Use the pentagonal pyramid at the right where F is the midpoint of CD.
Identify: The base, the slant height, and a lateral edge:
A. BAEDC, SF , SE
___ ___
B. CADBE, SO, BA
___ ___
C. BAECD, SD, SE
___ ___
D. BAEDC, SF, SE
Geometry Section: 9-3 5-20-16
3rd hour Calculator #5
2. A regular hexagonal pyramid has a base length of 12.
The altitude is 36 cm. The apothem is 10.4 cm. What is
the slant height? Round to the nearest tenth.
A. 38 cm
B. 34.5 cm
C. 37.5 cm
D. 37.4 cm
Geometry Section: 9-3 5-20-16
3rd hour Calculator #5
3. A right cone has a has an altitude of 24 inches and a slant height of 48 inches. What is the diameter
of the cone? Round to the nearest hundredths.
A. 41.57 inches
B. 107.33 inches
C. 83.14 inches
D. 95.5 inches
48 in
24
in
Geometry Section(s) 10 - 4 5- 20-16 3rd hour Calculator #6
Question #1
If the volume of this right cone is 728 times the radius, and the height of the cone is
13 times the radius, what is the diameter to the nearest thousandth?
A) 14.625 units
v= 728r
B) 7.313 units
C) 53.476 units
D) 12.961 units
h= 13r
Geometry Section(s) 10 - 4 5- 20-16 3rd hour Calculator #6
Question #2
Mount Woe, a very small volcano on the Island of Waw, has just erupted. It was a 684
ft. tall right cone, but is now a 367 ft. tall frustum that is 504 ft. wide on top. If the
volcano is still 768 ft. from one side to the other at the bottom, what is the volume of
Mount Woe’s frustum?
initial h: 684 ft.
A) About 338.2 million ft.3
B) About 302.7 million ft3
C) About 84.5 million ft.3
D) About 81.2 million ft.3
current h: 367 ft.
504 ft.
768 ft.
Geometry Section(s) 10 - 4 5- 20-16 3rd hour Calculator #6
Question #3
Barbara, a devoted cat lady, has built a tent for her cats that is shaped like a regular
hexagonal pyramid. Due to her old age, the woman could only measure the height
and one side of the tent. The cat tent is 72 in. tall, and one side measures 24 in. If the
average cat is about 638 cubic inches in volume, how many cats can she fit inside the
tent with 6,000 cubic inches of space leftover for breathing room?
A) 23 cats
B) 46 cats
= 638 in3
h = 72 in.
C) 56 cats
D) 103 cats
side = 24 in.
Geometry Section(s)_13-1
5-20-16 3rd hour Calculator #7
E
1.
32
102
A
B
48
C
68
D
AB and CD are parallel. Use the lengths that are given in the triangle at the top
(not to scale) to find the length of BD and AB. If necessary, round to the nearest
hundredth.
A. BD = 256, AB = 90.33
C. BD = 325.13, AB = 10.04
B. BD = 153, AB = 27.2
D. BD = 2.1, AB = 96.85
Geometry Section(s)_13-1
5-20-16 3rd hour Calculator #7
2.
A
104 ft
E
274 ft
B
D
14 ft
F
C
AD, EF, and BC are parallel. Use the lengths that are given in the trapezoid
at the top (not to scale) to find length FC in inches. If necessary, round to
the nearest hundredth.
A. 364 in
C. 442.62 in
B. 156 in
D. 36.88 in
Geometry Section(s)_13-1
5-20-16 3rd hour Calculator #7
3.
8 ft
7 ft
Z
B
X
3.5 ft
A
Y
Dandy Mandy is a construction worker, hired to build a house. One of the
requirements is all the side pieces on the walls must be parallel, or he will be
fired. When working on a triangular section on a wall of the house (shown at
the top, not to scale), Dandy Mandy needs BA and ZY to be parallel. What
must be the measure of AY in order for Dandy Mandy to keep his job? Round
to the nearest tenths place if necessary.
A: 3.1 ft
C: 2.5 ft
B: 11.5 ft
D: 16 ft
Geometry Section(s) 9-5 and 9-6 5-20-16 3rd hour Calculator #8
#1
Which shape matches
these views?
L
F
L
F
F
L
L
L
F
F
Geometry Section(s) 9-5 and 9-6 5-20-16 3rd hour Calculator #8
#2 Which shape is a great circle?
A.
O
.
O
.
B.
C.
O
D.
.
O
.
.
Geometry Section(s) 9-5 and 9-6 5-20-16 3rd hour Calculator #8
#3 Which shape is a hyperbola?
A. Plane ∥ to edge
B.
Plane not ⏊ to axis, intersecting one cone
C.
Plane ⏊ to axis
D.
Plane intersecting both cones
Geometry Section(s) 11-4 5-27-16 3rd hour Calculator #9
1.) Shannon has solved for the slope of all sides of quadrilateral
ABCD. She found that the opposite sides have equal slopes. What
can she conclude in the next step of her proof?
Conclusion
1. slope AB=1
slope BC=-2
slope CD=1
slope DA=-2
2. ???
Justification
1. Definition of slope
2. ???
Answer Choices:
a) ABCD is a parallelogram; Definition of parallelogram
b) ABCD is a square; Parallel Lines and Slopes Theorem
c) AB//CD and BC//DA; Parallel Lines and Slopes Theorem
d) AB//BC and CD//DA; Definition of a Square
Geometry Section(s) 11-4 5-27-16 3rd hour Calculator #9
2.) Which of the following is a convenient place for a non-right
isosceles triangle?
a. (a,0), (0,b), (-b, 0)
b. (a,0), (-a, 0), (0,b)
c. (0,a), (-a, 0), (a,b)
d. (0,0), (a,0), (0,a)
Geometry Section(s) 11-4 5-27-16 3rd hour Calculator #9
3.) Mitchell is trying to prove that RTGL, with points R (0,0), T (a,0), G (a,b), and L
(0,b) is a rectangle. What step is incorrectly concluded or justified and why?
Conclusion
Justification
1. slope/line RT = 0
1.) Definition of Slope
slope/line TG = undefined
slope/line GL = 0
slope/line LR = undefined
2.) line RT ⊥ line TG
2.) Definition of
Perpendicular
line TG ⊥ line GL
line GL ⊥ line LR
line LR ⊥ line RT
3.) RTGL is a rectangle
3.) Definition of Rectangle
________________________________________________________________________
a. Justification 3; You have to find the lengths of the sides before you can say it is
a rectangle.
b. Conclusion 1; You must state the givens first in any proof.
c. Justification 2; It should be the Perpendicular Lines and Slopes Theorem.
d. Justification 1; It is the slope formula not definition of slope.
Geometry Section(s) 10-3 5-20-16 3 hour Calculator # 10
#1
Find the volume of a cylinder that has a radius of 11in and has a height of 3ft.
Make your answer in exact form.
A:4,356πin cubed
B:13,684.7776in cubed
C:363πin cubed
D:17,424πin cubed
11 in
3 ft
Geometry Section(s) 10-3 5-20-16 3 hour Calculator # 10
#2
Find the volume of a regular octagonal prism with a base edge of 15 cm and a height of 3m.Round to the nearest whole number.
A: 233,820cm
3
3
B:325,919cm
C:135,000cm
D:2,388.2cm
3
3
3m
15cm
Geometry Section(s) 10-3
5-20-16 3 hour Calculator # 10
#3 Suppose you quintuple the height and radius of a cylinder, what will the
relation be between the volume of the smaller and larger cylinders?
A:5:1
B:125:1
C:1:5
D:1:125
Geometry Section(s)_8-8 5-20-16 3rd hour Calculator # 11
1. Consider circle O below. If the diameter of
circle O is 10 units, what is the area of a 165°
sector of the circle? (In terms of π)
a.
b.
c.
d.
275/24 π 𝒖𝒏𝒊𝒕𝒔𝟐
275/6 π 𝒖𝒏𝒊𝒕𝒔𝟐
283/12 π 𝒖𝒏𝒊𝒕𝒔𝟐
264/3 π 𝒖𝒏𝒊𝒕𝒔𝟐
165°
Geometry Section(s)_8-8 5-20-16 3rd hour Calculator # 11
2. Consider circle O below. The length of arc CB
is 16π units. Find length of line CB.
c
16π
a.
b.
c.
d.
64√2 units
32√2 units
16√3 units
64 units
o
B
Geometry Section(s)_8-8 5-20-16 3rd hour Calculator # 11
3. Consider circle O below. If the diameter of
circle O is 16 units, what is the length of the arc
that measures 135°? (In terms of π)
a.
b.
c.
d.
6π units
12π units
10π units
3/8π units
O 135°
Geometry Section(s) 9-2 & 9-7 5-20-16 3rd hour Calculator #12
1. If the area of a base of a
cylinder is 169π units^2 and
the height is 7 units, what is
XY?
A: 12 units
B: 14.7648 units
C: 8.6603 units
D: 17.3206 units
Y
h=7
X
Geometry Section(s) 9-2 & 9-7
2. In the shape shown at the right,
how many edges, faces, and vertices
are there and what is the general
name for the figure?
A: 20 edges, 12 faces, 20 vertices,
regular decagonal prism
B: 20 edges, 10 faces, 20 vertices,
regular decagonal prism
C: 30 edges, 12 faces, 20 vertices,
decagonal prism
D:30 edges, 10 faces, 20 vertices,
decagonal prism
5-20-16 3rd hour Calculator #12
Geometry Section(s) 9-2 & 9-7
3. How many symmetry planes
does the dodecagonal prism
shown have?
A: 12
B: 24
C: 25
D: Not enough information given
5-20-16 3rd hour Calculator #12
Geometry Section 13-5________
Question #1
20/5-16 3rd hour Calculator #14
S
U
T
R
900 feet
Fred is attempting to shingle his roof after a particularly rough storm.
The contractor wants to know the length and width of his roof in order
to know how much material he will need. Fred knows the width of the
house and the angle that the diagonal of his roof forms, but not the
actual length of the house. He draws a diagram of his roof, rectangle
SURT, shown above. Using the diagram and the information provided,
what is the length Fred’s roof? (to the nearest hundredth)
A. ST = 562.38 ft
C. ST = 281.19 ft
B. ST = 1035.99 ft
D. ST = 843.47 ft
Geometry Section 13-5________
20/5-16 3rd hour Calculator #14
Question #2
If the tangent of angle GAI in right triangle GAI
is equivalent to GI over AI, which of these
statements are equivalent to the tangent of
angle AGI?
G
A. AI over GA
B. AI over GI
C. GA over GI
D. GI over AG
I
A
Geometry Section 13-5________
20/5-16 3rd hour Calculator #14
Question #3
O
Given right triangle EOH and circle S:
E
If the radius of circle S is 7 cm, S is the midpoint
S
7 cm
H
of segment EH and OH = 12 cm, find the tangent of
angle OEH to the nearest thousandth
A. tan(OEH) = 0.8571
B. tan(OEH) = 1.664
C. tan(OEH) = 1.7143
D. tan(OEH) = 0.5833
Geometry Section: (8-6)
5-27-16 3rd hour Calculator #15
___
1. Using the right triangle to the right, solve for the length of side AO. Round
your answer to the nearest hundredth.
M
a.
b.
c.
d.
21.35
14.66
30.61
6.55
2
4
1
9
A
c
O
Geometry Section: (8-6)
5-27-16 3rd hour Calculator #15
2. Jamie is buying a strip of fencing that is 26 feet long to enclose a section of
her yard for her tadpole pond. Will the fencing connect the two fence posts, B
and R? (This is a right triangle).
a.
b.
c.
d.
Yes, it’s the right length
No, it’ll be too long
No, it’ll be too short
Not enough information
B
22
ft
13
ft
R
Geometry Section: (8-6)
5-27-16 3rd hour Calculator #15
3. What is the length of segment WZ, if point W is the midpoint of segment
XZ, in the right triangle?
X
a.
b.
c.
d.
11.74
16.5
8.25
5.86
7.5
Y
W
9
Z
Geometry Section(s) 9-10_____
5-17-15 3rd hour Calculator #16
#1 Given the radius and surface area of a right cone find
x.
3
A) 1
B) 6
C) 2.25
D) 9
X
SA= 27π
Geometry Section(s) 9-10_____
5-17-15 3rd hour Calculator #16
#2 Considering this a net for a regular hexagonal
pyramid, find the surface area with the given lengths.
A) 54+54√3
B) 9+108√3
C) 63√3
D) 9+54√3
Geometry Section(s) 9-10_____
5-17-15 3rd hour Calculator #16
#3 What is the surface area of an ice cream cone with a
slant height of 7in and a radius of 5in?
A) 35π ≈ 109.955
B) 60π ≈ 188.496
C) 70π ≈ 219.911
D) 35π ≈ 109.956
Geometry Section(s) 8-9
5-20-16 3rd hour Calculator #17
#1. Find the area of the larger circle
without the smaller circle.
A. 2.25 π
B. 576 π
C. 180 π
D. 182.25 π
3
Geometry Section(s) 8-9
5-20-16 3rd hour Calculator #17
2. The diameter of the smaller circle is 5, and the
larger circle has a radius 12. What is the probability
that a point randomly chosen on the larger circle will
be within the smaller circle? Round to the nearest
percent.
A. 42%
B. 4%
C. 2%
D. 17%
Geometry Section(s) 8-9
5-20-16 3rd hour Calculator #17
3. m∠BFG= 36, and the radius of circle F is
10 inches. What is the area of the lighter
section? Round to the nearest whole
number.
B
G
A. 314 inches
B. 31 inches
C. 10π
D. 10 inches
F
Geometry Section: 11-5 5-27-16 3rd hour Calculator #18
1) Two birds are racing towards a worm. The worm is at the coordinates (-3,-9). The
bluejay is at the the coordinates of (12, 11), while the cardinal is at the coordinates
of (-23,6). Assuming the two birds will fly at the same speed and the worm will
remain stationary, which of the two birds will reach the worm first?
a) Not enough Information to determine
b) The bluejay
c) The cardinal
d) None of the above
Geometry Section: 11-5 5-27-16 3rd hour Calculator #18
2) Pierre and Collin see a V pass lying on the ground. They make a run for it.
Collin is 25 feet from Pierre, and is at the coordinates (2, -11). The V pass is at
the coordinates (-6,4). How far is Pierre from the V pass?
a) 8 inches
b) 17 inches
c) 96 inches
d) 136 inches
Geometry Section: 11-5 5-27-16 3rd hour Calculator #18
3) Given the triangle at the right*, is it scalene, isosceles but not
equilateral, or equilateral?
a) Scalene
b) Isosceles but not equilateral
(6,9)
c) Equilateral
d) Not enough information
(2,1)
(8,3)
*Not to scale
Geometry Section(s) 8-7 5-20-16 3 hour Calculator #19
#1
Caren wants to make a poster for the variety show, like the regular
hexagon shown below. If she decides to go with this decision, how much
paper will she need, exactly?
A)78 in2
B)1014√3 in2
C)253.5√3 in2
D)507√3 in2
Geometry Section(s) 8-7 5-20-16 3 hour Calculator #19
#2
Phil wants to make a kite like the diagram
to the right shows. To make the kite, how
much material will he need? Give an exact
answer.
14
A )196 in2
in
60°
30°
60°
B)196√3 in2
C)392√3
in2
D)(28+28√3) in2
30°
Geometry Section(s) 8-7 5-20-16 3 hour Calculator #19
#3
A table in the shape of an isosceles trapezoid is shown below.
With the given information, find the perimeter of the table. Give an exact
answer.
A)194 in
73 in
B)(194+48√2) in
45°
C)(146+48√3) in
D)290 in
45°
24 in
45°
45°
11-6
Geometry Section(s)________
26
3
20
5-___-16
___hour
Calculator #____
#1) What is the center and radius of the circle with
the following equation?
(x+14)^2+(y-8)^2= 484
A) (-14,8); 484
B) (-14, -8); 22
C) (-14, 8); 22
D) (14, -8); 484
11-6
Geometry Section(s)________
26
3
20
5-___-16
___hour
Calculator #____
#2) What is the equation of the circle below?
(-2,-1)
17 cm
A) (x-1)^2+(y-2)^2=289
B) (x+2)^2+(y+1)^2=289
C) (x+1)^2+(y+2)^2=289
D) (x+2)^2+(y-1)^2=289
11-6
Geometry Section(s)________
26
3
20
5-___-16
___hour
Calculator #____
#3) Mr. Senecal is singing Ave Maria in the shower. He lives in the
city of Ferndale, which has a total area of 3.88 sq. miles. Mr.
Senecal’s singing is so loud (and beautiful) he can be heard in the
distance of a circle around him with the equation (x-2)^2+(x-5)=0.25
(miles). The circle in which his voice can be heard is completely
inside the area of Ferndale.
To the nearest tenth, what percentage of Ferndale cannot hear Mr.
Senecal’s divine singing?
A) 79.8%
B) 80.4%
C) 20.2%
D) 98.8%
Ferndale
Area where
voice can be
heard
Mr. Senecal
Geometry Section(s)_12- 4 5-20-16 3rd hour Calculator # 21
#1
The cups to the right are similar with a size change of 6.
The smaller cup will be used to fill the larger cup with water.
How many times will you need to
fill the smaller cup to fill up the
larger cup?
A. 18
B. 12
C. 36
D 216
Geometry Section(s)_12- 4 5-20-16 3rd hour Calculator # 21
#2
If Philip Rivers is 94 times taller than Tim Tebow, How much
more surface area does he have? If Tom Brady is 4 times shorter
than Philip Rivers, what is the ratio of Tom Brady and Tim
Tebow's volume? Round to the nearest whole number. (Tim Tebow and
Philip Rivers are not cylinders. DON’T SOLVE USING CYLINDER FORMULA)
A. 8836, 12978:1
B. 8836, 552:1
D. 94, 16:1
94x
C. 830584, 64:1
Philip
Rivers
x
Tim
Tebo
w
Geometry Section(s)_12- 4 5-20-16 3rd hour Calculator # 21
#3
The two cubes at the right are similar. If the ratio of their
volumes are 369/3, what is the ratio of their surface areas? The
slopes of their diagonals? Round to the nearest whole number.
A. 25,1
B. 5,5
C. 125,1
D. 5, 25
Geometry Section:12-6 5-27-16 3rd hour Calculator #22
1.
A
D
23
16
10
14.375
E
F
5.625
B
C
9
Given the two triangles above, figure out if they are similar. If so, what is
the ratio of similitude if triangle ABC is the image of triangle DEF?
A.) Yes, 5/8
B.) Yes, 1.6
C.) No
D.) Yes, 2.3
Geometry Section:12-6 5-27-16 3rd hour Calculator #22
2.
A
D
15
24
B
Y
C
X
39
E
F
52
Triangle ABC is similar to Triangle DFE. Find the values of X and Y. Round to
the thousandths place if necessary.
A.) X=32, Y=24.375
B.) X=135.2,Y=9.231
C.) X=20, Y=62.4
D.) X=20, Y=24.375
Geometry Section:12-6 5-27-16 3rd hour Calculator #22
3.
D
G
A
23
B
1.5
C
E
57.5
13.5
F
I
H
Triangle ABC is similar to triangle DEF, which is similar to triangle GHI. What is the
ratio of similarity from triangle ABC to triangle GHI? Round to the thousandths
place.
A.) 22.5
C.) 146.944
B.)50.625
D.)22.6
Geometry Section(s)_3-7 and 12-1 5-20-16 3hour Calculator #23
1. If ABC~XYZ, and XYZ is the image of
ABC after a size change of magnitude 3,
what is m<Y?
A
5
85°
B 50°
6
18
45° C
7
a.45°
b.135°
c.50°
d.150°
Z
21
X
Y
15
Geometry Section(s)_3-7 and 12-1 5-20-16 3hour Calculator #23
2. The line segment AB has a slope of 6
and a length of 29. Under a size
transformation of 2/5, the image is line
segment A’B’. What is the slope and
distance of line segment A’B’?
a. 6, 77.5
b. 12/5, 58/5
c. 6, 58/5
d.12/5, 77.5
Geometry Section(s)_3-7 and 12-1 5-20-16 3hour Calculator #23
3.
Which similarity statement is correct for
these two triangles and what is the ratio
of similitude from ACB to XYZ?
C
16
A
Y
5
18
20
B
a. ABC~XYZ,1/5
b. ACB~ZXY, 1/6
c. ABC~XYZ, 1/4
d. ACB~ZXY, 1/4
X
4.5
4
Z
Geometry Section(s)12-3
1.
a.
b.
c.
d.
5-20-16 3 hour Calculator #24
Both you and your friend have a pool in your backyard. Since you both have a lot in common you want to see if your pools are
similar. MY=5.1 ft, ML=25.7 ft, oL=28.9 ft, Im=17 ft, Wm=12.9 ft, and WE=3 ft. Is the following statement true:
WESwIm~MYPOoL? If so, what is the ratio of similitude?
No, WESwIm is not similar to MYPOoL; 1.7.
17 ft
I
m
Yes, WESwIm~MYPOoL; 1.7.
Yes, WESwIm~MYPOoL; .6
No, WESwIm is not similar to MYPOoL.
Y
M
w
5.1 ft
25.7
ft
P
L
O
o
28.9 ft
12.
9 ft
S
E
3ft
W
Geometry Section(s)12-3
5-20-16 3 hour Calculator #24
2. Suppose that △ABC undergoes a reflection over line M, a size
transformation with magnitude ⅓, a rotation 90o, then was translated 5
units to the right. Lastly, it underwent a glide reflection over M. Is
△ABC~△A’B’C’? Justify your answer.
a. No, it doesn’t follow the definition of similarity transformations.
b.No, it doesn’t fit the definition of similar.
c. Yes, by the definition of similarity transformations and the abcd
theorem.
d.Yes, by the similar figures theorem.
Geometry Section(s)12-3
5-20-16 3 hour Calculator #24
3. To make the statement ABCD~EFGH true, what one measurement could
you change? To what would it be changed?
A
B
.59
a. Nothing would need to be changed.
b. BC to .6233.
.4675
.405
c. EH to 2.36.
d. EF to 2.36.
C
D
.74
E
2.37
1.6
2
F
1.8
7
H
2.96
G
Geometry Section(s) Haley Thomas 12-7 5-27-16 3 hour Calculator #25
Geometry Section(s) Haley Thomas 12-7 5-27-16 3 hour Calculator #25
Geometry Section(s) Haley Thomas 12-7 5-27-16 3 hour Calculator #25
Geometry Section 11-7
5-27-16 3rd hour Calculator #26
1. The graph is measured in miles. Point A represents Susie’s house, point B represents Fritz’s house,
and point C represents Peter’s house. A Griseotyrannus aurantioatrocristatus started flying in a straight
line from Susie’s house to Fritz’s house, but stopped half way to eat a Gryllus campestris. From this
point he began flying in a straight line toward Peter’s house, but stopped halfway to rest. What are the
coordinates of the point where the bird stopped to rest?
A. (1.25,1)
B. (1,0)
C. (1,1.25)
D. (11,7)
A
B
C
Geometry Section 11-7
5-27-16 3rd hour Calculator #26
2. Point U is the midpoint of MJ. If M = (x+6.64, 4y-2.23) and J = (x-8.98, y-8.3), find the coordinates of
point U.
A. (y-1.17, 2.5x-5.265)
B. (x+6.64, y-8.3)
C. (x-8.98, 4-2.23)
D. (x-1.17, 2.5y-5.265)
y
M
U
x
J
Geometry Section 11-7
5-27-16 3rd hour Calculator #26
3. Refer to the photo of the Bugatti Chiron below. I represents the frontmost part of the car, and P
represents the backmost part. Point V is the very center of the car. Point X is the midpoint between I and
V. If the car is 4.5x long, the distance from V to X is 2.5y, and the distance between V and P is 3y + 4
then what is the distance between point X and point P?
A. 4 4/9 units
B. 3.75y units
C. 3.38x units
D. 15 units
X
I
V
P
Geometry Section(s)_10-6/10-7
5-24-16 3rd hour Calculator#_27___
1.) Refer to the sphere at the right in order to answer the
question below.
Rodney and Julio want to know how much air will fit inside
of their soccer ball, the radius r of the soccer ball is 14in.
Round your answer to the hundredths place.
A. 11494.04 cubic inches
B. 461.81 cubic inches
C. 821 cubic inches
D. 175.93 cubic inches
14 in
Geometry Section(s)_10-6/10-7
5-24-16 3rd hour Calculator#_27___
2.) Refer to the sphere at the bottom and determine the surface area of the sphere to the
nearest hundredth of a square inch.
Marco and Polo are playing with a bouncy ball and want to find the surface area of it,
they, they cut the ball in half and measure a radius of 2 inches, what’s the surface area.
2 in
A. 25.13 square inches
B. 50.27 square inches
C. 50.26 square inches
D. 12.57 square inches
Geometry Section(s)_10-6/10-7
5-24-16 3rd hour Calculator#_27___
3.) Refer to the sphere at the right and determine the volume of the sphere to the nearest mile.
The surface area of the earth is 196,900,000 square miles and the diameter of the
earth is 7,917.5 miles so what’s the volume, round your answer to the nearest ten billion miles.
A. 260,000,000,000 cubic miles
B. 270,000,000,000 cubic miles
C. 259,901,550,000 cubic miles
D. 269,901,550,000 cubic miles
7,917.5 miles
Geometry Section(s)_8-2__ 5-20-16 3rd hour Calculator #28
1.) In the Figure below, all of the angles are right angles. Use this diagram to find the
area of each polygon: a. ABCD b. AEFB c. IHGC
I
A. a=48ft^2, b=80ft^2, c=96ft^2
B. a=48ft^2, b=80ft^2, c=120ft^2
A
10ft
D
H
E
C. a=24ft^2, b=24ft^2, c=120ft^2
D. a=24ft^2, b=36ft^2, c=96ft^2
12ft
8ft
B
6 ft
C
4ft
F
6ft
G
Geometry Section(s)_8-2__ 5-20-16 3rd hour Calculator #28
2.) Find the area of the polygon with vertices (-1,0), (-1,-2), (-4, -2), (-4,3), (-2,3), (-2, 1)
a. 13cm^2 b.12.5cm^2 c.11.5cm^2 d.-12.5 cm^2
X
Y
Geometry Section(s)_8-2__ 5-20-16 3rd hour Calculator #28
3.) Painters have been hired to paint a wall of the frost middle school gym. Each window on the wall is 5x7ft, and the wall
itself is 32x18ft. How much of the wall is able to be painted on?
A. 456 ft.
B. 436 ft.
C. 536 ft.
D. 546 ft.
18ft
7ft
5ft
32ft
Geometry Section(s) 9-8 and Solids of Revolution 5-20-16 3rd hour
Calculator #29
#1. If you rotate a square with a perimeter of twenty eight units 360 degrees around
the y axis when one of the vertical sides is on it, what is the volume of the resulting
solid, 3D figure to the nearest hundredth?
A.
B.
C.
D.
2,155.13 units3
4,310.27 units3
334𝝿 units3
1,077.57 units3
Geometry Section(s) 9-8 and Solids of Revolution 5-20-16 3rd hour
Calculator #29
#2. What is the net of a regular dodecahedron?
A.
B.
C.
D.
Geometry Section(s) 9-8 and Solids of Revolution 5-20-16 3rd hour
Calculator #29
#3. What is the volume of the figure that is formed by the net below to the nearest
hundredth?
A.
B.
C.
D.
653.45 cm3
2,613. 81 cm3
427.26 cm3
163.36 cm3
13 cm
8
cm
Geometry Section14.4 5-24-16 3rd hour Calculator # 30
∶ 𝑄𝑅 and 𝑃𝑅 are tangent to circle A. If PR =5x +7 and QR
= 7x -3, what is the length of 𝑃𝑅 ?
#1
P
R
A
Q
A.5
B.10
C.2
D.32
Geometry Section14.4 5-24-16 3rd hour Calculator # 30
𝑄𝑅 and 𝑃𝑅 are tangent to circle A. If m arc PTQ = 245◦ ,
What is the measure of ∠PRQ?
#2:
P
T
◦
A.245
R
A
Q
B.122.5◦
◦
C.115
D.65◦
#Geometry Section14.4 5-24-16 3rd hour Calculator # 30
#3: 𝑃𝑅 is tangent to circle A at point P. If PR =12 and
AR = 13, what is the area of circle A ?
P
R
A
Q
A.5
B.10
C.25
D.13
Geometry Section14.1 5-24-16 3rd hour Calculator # 31
1. A chord 14cm long is 6cm from the center of the circle. Find the
diameter of the circle.
A.
40cm
B.
18.4cm
C.
30.4cm
D.
25.2cm
Geometry Section14.1 5-24-16 3rd hour Calculator # 31
2. Find the length of the arc intercepted by a 10-inch chord in a circle
with a radius of 9 inches.
A.
10in
B.
5.3in
C.
10.6in
D.
18in
Geometry Section14.1 5-24-16 3rd hour Calculator # 31
3. What is the perimeter of a regular decagon inscribed in a circle of
radius 8m?
A.
49.4m
B.
24.7m
C.
4.94 cm
D.
152.1m
Geometry Section(s)_11-7_______
5-20-16 5th hour Calculator #1
1.) Jacob is in a car going to Carlos’ house for a sleepover. The origin is Carlos’
house at (0,0) and Jacob is in his car and is 5 blocks east and 7 blocks north of
Carlos’ house. If we were to draw a straight line from Jacob’s car to Carlos’ house
and took the midpoint of that. What would be its coordinates?
A. (3.5, 2.5)
B. (2,3)
Jacob
C. (2.5,3.5)
D. (3,2)
Carlos
Geometry Section(s)_11-7_______
5-20-16 5th hour Calculator #1
2.) Alyssa’s house is on 24th street, and her friend Mary’s house is on 46rd street.
They are both running toward each other at the same exact rate to meet at a
restaurant. They start running at the same exact time to meet there. What street is
that restaurant on? (considering that all streets are equally spaced out)
A.) 70th street
B.) 35th street
C.) 34th street
D.) 30th street
24th street
? street
46th street
Geometry Section(s)_11-7_______
5-20-16 5th hour Calculator #1
3.) There is a huge county fair in David’s town. The fair is labeled (7,3) on the graph
and David is sadly very far from the fair. He really wants to go there because his
favorite singer, Justin Bieber, was performing there. He has to bike all the way there
and his car is kind of totaled. He is at (-9,5) and wants to stop midway to get a water
break. Where is the place that he has to stop?
A.) (-1,-4)
B.) (1,-4)
David
C.) (1,4)
The Fair
D.) (-1,4)
Geometry Section(s) 8-9
5-24-16 5th hour Calculator # 2
1. Steven ordered the “Classic Californian Pizza” at Alessandro’s Pizza Palace. The pizza is
depicted below. Steven won’t eat a pizza with an area larger than 1,500 cm2. Is the pizza
ok for him to eat? What is the area of the pizza he ate? Round to the nearest whole
centimeter.
A. No, 3023 cm2
C. Yes, 110 cm2
B. Yes, 962 cm2
D. No, 3848 cm2
Picture is
not to
scale
35 cm
Geometry Section(s) 8-9 5-24-16 5th hour Calculator # 2
2. Cody Bolin is in an international dart throwing contest. He needs to hit the
bullseye in the dartboard pictured below to win the competition. Assuming
he doesn’t miss the dartboard, what is the percent chance of him winning?
A. 4 %
B. 20%
D
C. 25%
D. 5%
A
24 cm
T
AT = 60 cm
R
Geometry Section(s) 8-9 5-24-16 5th hour Calculator # 2
3. The diameter of a circle is 72 feet. What is the area of the circle, in square
yards? Round to the nearest whole number.
A. 4,072 yd2
C. 452 yd2
B. 1,357 yd2
D. 16,286 yd2
Geometry Section(s) 10-5 5-20-16 5th hour Calculator #3
1. Renee is making an Earth model for a science project at school. Only one hemisphere of the
Earth will be shown for her project so she will cut her Earth model in half. For Renee’s
assignment, she must find the radius of her project. If the volume of her project is 261.8
centimeters cubed (the hemisphere not the full project) , what is the radius of her project?
(Round to nearest whole number.)
A. 5 cm
Volume = 261.8 cm cubed
B. 8 cm
C. 4 cm
D. 11 cm
R=?
Geometry Section(s) 10-5 5-20-16 5th hour Calculator #3
2. Jonathan wants to know how much ice cream he has inside his ice cream cone and on top of
his cone. Find how much ice cream Jonathan has using the information given. Round your
answer to the nearest whole number.
12 cm
A. 905 cm cubed
B. 7540 cm cubed
C. 1206 cm cubed
?
D. 2111 cm cubed
10 cm
Geometry Section(s) 10-5 5-20-16 5th hour Calculator #3
3. Helen is making a 3D logo out of cardboard for her art project at school. The figure is a
triangular prism. She is making the logo into 4 separate parts. She wants all the parts to be
equal and all the sides to be equal. If all the sides are equal and the height is 8 inches, what is
the lateral area of the whole logo and the volume of section D? Make your answer exact.
Base View of
Triangular Prism
A. 32√3; 32√12
B. 192; 16√12
A
8 in
C. 32√3; 32√3
D. 192; 32√3
B
C
D
Geometry Section(s)_8-6 5-23-16 5th hour Calculator #4
1. What does x equal in the image
to the right? (Round to the
nearest whole number if needed)
A. 5041
B. 61
60
x
C. 71
D. 3721
11
Geometry Section(s)_8-6 5-23-16 5th hour Calculator #4
2. What does Y^2 equal in the image below? (Round
to the nearest whole number, if necessary).
A. 64
B. 8
17
15
C. 514
D. 23
Y
Geometry Section(s)_8-6 5-23-16 5th hour Calculator #4
3. Is the triangle below a right triangle?
A.
Yes, because a^2+b^2=c^2
B.
No, because a^2+b^2≠c^2
C.
No, because b^2+c^2≠a
D.
Not enough information
10
14
15
Geometry Section 12-4 5-20-16 5th hour Calculator #5
1. Consider two similar triangular prisms. If the ratio of
their surface areas is 4:7, what is the ratio of their
volumes?
a.
b.
c.
d.
4:49
2:√7
8:7√7
4:7
Geometry Section 12-4 5-20-16 5th hour Calculator #5
2. On the right, ABC~QRS. What
is the ratio of their areas?
a.
b.
c.
d.
3136:9
56:9
27:3136
3:56
A
56
cm
C
B
Q
3 cm
R
S
Geometry Section 12-4 5-20-16 5th hour Calculator #5
3. JKML~REDH. What is the ratio of the volumes of
the prisms?
a.
b.
c.
d.
25:64
5:512
8:5
125:512
E
R
8 cm
H
D
L
M
5 cm
J
K
Geometry Section(s) 11-5
5-20-16 5th hour Calculator #6
Geometry Section(s) 11-5
5-22-16 5th hour Calculator #6
Geometry Section(s) 11-5
5-24-16 5th hour Calculator #6
Geometry Section(s)__9-9______
5-20-16 5th hour Calculator # 7
1. Calculate the exact surface area of the figure:
A cylinder with a diameter of 20 cm and a height of 12 cm.
20 cm
a. 440𝝅 𝒄𝒎𝟐
b. 120𝝅 𝒄𝒎𝟐
c. 528𝝅 𝒄𝒎𝟐
d. 312𝝅 𝒄𝒎𝟐
12 cm
Geometry Section(s)__9-9______
5-20-16 5th hour Calculator # 7
2. Find the surface area of the figure shown below:
a. 360 + 18√𝟑 cm
6 cm
6 cm
b. 360 cm
20 cm
c. 360 + 18√𝟑 𝒄𝒎𝟐
d. 360 + 36√𝟑 𝒄𝒎𝟐
6 cm
Geometry Section(s)__9-9______
5-20-16 5th hour Calculator # 7
3. Max wants to make several cans like the one below. He is going to cut the cans
from a sheet of metal that has an area of 3, 750 inches. How many cans can he
make. Round to the nearest whole number. Use 3.14 for 𝝅.
a. 14 cans
6 inches
b. 5 cans
c. 18 cans
8 inches
d. 15 cans
Geometry Section 11-4 5-20-16 5th hour Calculator # 8
1: In quadrilateral ABCD, A = (3,7), B = (2,4), C = (8, 1), and D = (9, 4).
Which of these conclusions cannot be
proven with the given information?
___
___
___
___
A: slope of AB = slope of DC
B: slope of AD = slope of BC
___ ___
___ ___
C: m<A = m<C
D: AD || BC and AB || DC
A
D
B
C
Geometry Section 11-4 5-20-16 5th hour Calculator # 8
2: What are the coordinates of the missing point of the parallelogram?
A: (a+b, x)
B: (x, a)
C: (a, x+b)
D: (x, a+b)
(a, x)
(0, 0)
(b, 0)
(?, ?)
Geometry Section 11-4 5-20-16 5th hour Calculator # 8
3: In quadrilateral NOPE, lines NO and PE both have slopes of 0. What reasoning
proves that segments NO and PE are parallel?
A: Papa Palappa’s Parallel Poopy Poppy Pepperoni Pasta Postulate
B: Transitivity of Parallelism Theorem
C: Perpendicular to Parallels Theorem
D: Parallel Lines and Slopes Theorem
Geometry Section(s)_9-10_ 5-22-16 5th hour Calculator # 9
1. Suzie needs to find the surface area of the construction
cone in her driveway. It is a right cone. The diameter of the
cone is 40 cm and the height of the cone is 21 cm. What is
the lateral area of the traffic cone in square centimeters?
Round to the nearest whole number.
b. 3,644
c. 1,319
d. 1,822
21 cm
a. 2,639
40 cm
Geometry Section(s)_9-10_ 5-22-16 5th hour Calculator # 9
2. The Pyramid of Khafre is a square pyramid in Egypt. It has a base
length of 706 feet, rises to a height of 448 feet and has a slant height
of about 570 feet. It also sits on a platform that is 33 feet above the
ground. What is the lateral area of the pyramid in square feet?
a. 632,576
Base length= 706 Height= 448 Slant height= 570
b. 804,840
d. 111,649,664
448 ft
c. 142,054,260
706 ft
Geometry Section(s)_9-10_ 5-22-16 5th hour Calculator # 9
3. Robert was making a volcano in the shape of a truncated right
cone. The non truncated right cone has a radius of 8 inches and a
height of 15 inches. What is the surface area of Robert’s right cone in
square inches? Round to the nearest tenth of a square inch.
a. 389.6
b. 414.7
15 in
c. 628.3
d. 578.1
8 in
11-6 Equations of Circles 5-23-16 5th hour Calculator # 10
1. A circle with center C (2,3) contains the
point (7,4). Use the equation of a circle to
find the exact radius of C
A. 4.89 units
B. 2 units
C. √26 units
D. 5.01 units
R
C
11-6 Equations of Circles 5-23-16 5th hour Calculator #10
2. A circle M has the origin as its center its
radius is 16.86 (rounded to nearest
hundredths place) which coordinates could
be possible points on the circle.
A.(16.86,0)
B.(16,.86)
C.(-24,41)
D.(7.5,15.1)
R=16.8
6
M=(0,
0)
11-6 Equations of Circles 5-24-16 5th hour Calculator #10
3. The point (-1, 3) is on Circle C which has a
radius of 4. Given that the center is in
quadrant I, which coordinates could be the
center of the circle
A.(3,3)
B.(-1,7)
C.(-3,-3)
D.(3,0)
(-1,3)
R=4
Geometry Section(s) 8-8 5-20-16 5th hour Calculator #11
1. At Papa Palappa’s Pizzeria, they serve 14 inch pizzas. They cut the fourteen inch
pizzas into 12 slices. The pizzeria also serves 12 inch pizzas that are cut into 10
slices. If you took a slice from each pizza, which crust will be longer and by how
much?
A: 14 inch by about 0.1 inches
B: 14 inch by about 0.5 inches
C: 12 inch by about 0.1 inches
D: 12 inch by about 0.5 inches
Geometry Section(s) 8-8 5-20-16 5thhour Calculator #11
2. Jimothy has drawn a circle on a piece of paper. He put two dots randomly on the
edge of the circle. The angle that these points make is 67 degrees. If the circle has a
radius of 4 inches, how far are the points from each other going around the circle?
Round to the tenths place.
A: 4.7 inches
B: 9.4 inches
C: 6.7 inches
D: 3.3 inches
Geometry Section(s) 8-8 5-20-16 5thhour Calculator #11
3. Jimothina drew a circle on the coast of Lake Superior. This is a clock that she is
making. She puts the stick into the middle of the circle and it casts a shadow onto
the edge of the circle. If she compares the positions and the two shadows made a 52
degree angle, and the circle is 10 feet across, how far are the shadows intersections
of the circle from each other?
A:4.5
B:9.3
C:6.7
D:3.2
Geometry Section(s) 13-5_ 5-23-16 5th hour Calculator #12
1. Lucy’s school has a flagpole on the front sidewalk. As
a math project, Lucy’s teacher tells her to find the
height of the flagpole. When Lucy goes out to
measure, the Sun is up 65 degrees from the horizon.
The flagpole casts a shadow, and Lucy measures it to
be 12 feet long. To the nearest hundredth, what is
the height of the flagpole?
a. 0.18 ft
b. 25.73 ft
? ft
c. 5.07 ft
65 degrees
d. 10.88 ft
12 ft
Geometry Section(s) 13-5_ 5-26-16 5th hour Calculator #12
2. Andy’s father owns a construction company, and they
are building a tall apartment building. Andy wants to
find out how tall the building is. He is 15 feet from the
building and his eye level is 6 feet above the ground. He
is looking up at the roof of the building at a 70 degree
angle. Using this information, how tall is the building?
• a. 47.21 ft
• b. 41.21 ft
• c. 11.13 ft
? ft
70 degrees
• d. 20.1 ft
6 ft
15 ft
Geometry Section(s) 13-5_ 5-26-16 5th hour Calculator #12
3. Greg is standing on the edge of a cliff, looking down at
a ship. If he is looking down at a 45 degree angle and the
cliff is 25 feet tall, how many horizontal feet away is the
ship?
• a. 1 ft
• b. 17.68 ft
• c. 25 ft
• d. 35.56 ft
25 ft
? ft
Geometry Section(s) 3-7 and 12-1 5-26-16 5th hour Calculator #13
#1: Size changes preserve some properties of
any given shape, but not all. Which of the
following properties do size transformations
NOT preserve? Choose all that apply.
a)Betweenness, collinearity, orientation
b)Angle measure, collinearity, orientation
c)Angle measure, betweenness, orientation
d)Angle measure, betweenness, collinearity
Geometry Section(s) 3-7 and 12-1 5-26-16 5th hour Calculator #13
#2: Let S be a size transformation with
magnitude 2/5. If AB=12 inches, how long is
S(AB)? (Image not to scale)
a)4.8 feet
b)0.4 feet
c)5.2 feet
d)5.2 inches
C
13
5
B
12
A
Geometry Section(s) 3-7 and 12-1 5-26-16 5th hour Calculator #13
#3: Juan, Pablo, Jorge, and Ringo are trying to create a miniature
Puerto Rican flag. However, none of them can agree on what the
dimensions would be. They need to figure out the length (longer
side) of the smaller flag. The original flag is 5’x8’. The scale
model is 1/16th the size of the original. Juan says that the answer
is 9 inches. Pablo says that the answer is 24 inches. Jorge says
that the answer is 6 inches. Ringo says that the answer is 12
inches. Who is correct?
8’
a)Juan
b)Pablo
?
c)Jorge
d)Ringo
5’
Geometry Section(s) 9-7/9-2 5-20-16 5th hour Calculator #14
Question #1
The solid that was created is a translation of a regular pentagon.
Name the shape as specifically as you can.
A) An irregular prism
B) A regular, hexagonal prism
C) A pentagonal prism
D) A regular, pentagonal prism
Geometry Section(s) 9-7/9-2 5-20-16 5th hour Calculator # 14
Geometry Section(s) 9-7/9-2 5-20-16 5th hour Calculator # 14
Question #3
Which theorem, definition, etc. can justify that B is the reflection of A over
plane H?
A) Perpendicular Lines and Slopes Theorem
H
B) Definition of Reflection Image of a Point
Over a Plane
A
C) Perpendicular Bisector Theorem
B
D) Side-Switching Theorem
This is supposed to
be a 90° symbol,
which tells you that
line AB is
perpendicular to
Geometry Section(s) 9.5 and 9.6 5-23-16 5th hour Calculator #15
1. What shape does the plane
section at the left form?
A. ellipse
B. parabola
C. hyperbola
D. half circle
Geometry Section(s) 9.5 and 9.6 5-23-16 5th hour Calculator #15
correct
at
2. Which option is the
top view for the figure
the left? (not to scale)
A.
C.
B.
D.
Geometry Section(s) 9.5 and 9.6 5-23-16 5th hour Calculator #15
3. Center O is translated 4 cm directly
vertically as shown at the left. The
circumference of O’ is 6 . Find the
distance from point O to any point on
O’. Round to the nearest whole
number.
A. 25 cm
B. 5 cm
C. 7 cm
D. 52 cm
Geometry Section(s) 8-7
5-20-16 5th hour Calculator #16
Question #1
Look at the right triangle to the right.
Find x to the simplest form.
30
°
A.) 52√3
B.) 8 2/3
x
52
C.) 13
D.) 26√3
26
60
°
Geometry Section(s) 8-7
5-20-16 5th hour Calculator #16
Question #2
Willow, Buffy, and Xander were having a competition to
see who could figure out what x to the simplest form
was correctly. Willow said that x was 50, Buffy said that
x was 25√4, and Xander said it was 50√2. Who is right?
A.) Willow
45°
B.) Buffy
C.) Xander
x
25√2
D.) They are all wrong
45°
25√2
Geometry Section(s) 8-7
5-20-16 5th hour Calculator #16
Question #3
Vax and Vex each drew a special triangle.
Which triangle has the larger hypotenuse?
A.) Vax’s triangle
45°
Vax’s
Triangle
45
45°
B.) Vex’s triangle
45
C.) Their triangles have the same hypotenuse
30°
D.) Not enough information
Vex’s
Triangle
32√3
60°
32
Section 9-3
5- _20_-16 __5_hour Calculator #_17___
Question #1
How many faces does the
figure below have?
a) 9
b) 11
c) 10
d) 1
Section 9-3
5- _20_-16 __5_hour Calculator #_17___
Question #2
What is the slant height of
the pyramid below?
a)208 in
b)14.4 in
c)10 in
d)5.3 in
8 in
12 in
12 in
Section 9-3
5- _20_-16 __5_hour Calculator #_17___
Question #3
What is the height of the
cone below?
a) 23.4 in
b) 15 in
c) 5.8 in
d) 18.8 in
Geometry Section(s) 10.4
5-20-16
5 hour
Calculator #18
1. What is the exact volume of the cone depicted?
A. 672π ft3
B. 2111.15 ft3
C. 168π ft3
D. 227π ft3
14
ft
12 ft
NOT TO SCALE!
Geometry Section(s) 10.4
2.
5-20-16
5 hour
Calculator #18
What is the volume of the pyramid depicted?
A. 1680 ft3
B. 560 ft3
C. 840 ft3
D. 280 ft3
12 ft
14
ft
NOT TO SCALE!
10
ft
Geometry Section(s) 10.4
5-20-16
5 hour
Calculator #18
3. What is the diameter of the base of the cone depicted?
A. 9 ft
B. 81 ft
C. 18 ft
Volume =
459π
D. 14.2 ft
17
ft
X
NOT TO SCALE!
Geometry Section(s)_______10.3_
5-_27__-16 __5_hour
Calculator #__19__
Question #1
What is the volume of an oblique cylinder with diameter 10 cm and
height 25 cm?
10 cm
A. 250π sq.cm.
B. 625π sq.cm.
C. 1562.5π sq.cm.
D. 3906.25π sq.cm.
25
cm
Geometry Section(s)_______10.3_
5-_27__-16 __5_hour
Calculator #__19__
Question #2
What is the volume of a triangular prism with base 10 in and
altitude 12 in and height 24 in?
13 in
A. 2880 sq.in.
B. 1440 sq.in.
C. 3120 sq.in.
12 in
D. 3744 sq.in.
10 in
Geometry Section(s)_______10.3_
5-_27__-16 __5_hour
Calculator #__19__
Question #3
The volume of a box is 2340 sq.m. One base side is 15 m and the
other 12 m. What is the height of this box? To the nearest whole
measurement.
A. 156 m
B. 421,200 m
C. 13 m
h
D. 2925 m
15 m
Geometry Section(s)_8-5 5-20-16 5th hour Calculator # 20
1. Jimmy has a house with the dimensions as shown in
the picture below. His room takes up an eighth of the
surface area of the house. What is the surface area of
Jimmy’s room? Round to the nearest whole foot.
Please note that the picture is not to scale.
A. 774 feet2
B. 97 feet2
C. 113 feet2
D. 104 feet2
18 feet
7 feet
18 feet
43 feet
Geometry Section(s) 8-5 5-20-16 5th hour Calculator #20
2. Joe has a neighbor named Jacob. Jacob’s house is 5,000
square feet. Joe’s house is shown below. Note that the drawing is
not to scale. What is the difference in surface area between their
two houses? Round to the nearest whole number.
A. 1,902 square feet
B. 2,000 square feet
C. 1,197 square feet
D. 1,901 square feet
65 feet
40 feet
40 feet
h
10 feet
85 feet
Geometry Section(s) 8-5 5-20-16 5th hour Calculator #20
3. Joel is looking to buy a penthouse. The penthouse he is looking
at says it costs 300 dollars per square foot. The penthouse is
shown below, not to scale. Joel doesn’t want to spend any more
than 500,000 dollars on his penthouse. How much would this
penthouse cost, and is it in Joel price range?
A. No, 1,080,000 dollars
B. Yes, 120,000 dollars
C. No, 2,160,000 dollars
D. Yes, 60,000 dollars
10 yards
20 yards
20 yards
10 yards
Geometry Section(s)__12-3__ 5-20-16 5th hour Calculator # 21
1) Triangle ABC and Triangle DEF are similar. If BC is 5 centimeters long, EF is 13
centimeters long, and AB is 7 centimeters long. What is the length of DE?
A. 9 centimeters
B. 18.2 centimeters
C. 8.6 centimeters
D. 14.6 centimeters
13
7
5
?
Geometry Section(s)__12-3__ 5-20-16 5th hour Calculator # 21
2) In the diagram, AB is 10 centimeters long, BD is 6 centimeters long, BE is 5
centimeters, and AC is 12 centimeters long. If triangles DBE and ABC are similar,
what is the perimeter of triangle DBE?
A. 18.2 centimeters
B. 31 centimeters
C. 19 1/3 centimeters
D. 23 centimeters
6
5
10
12
Geometry Section(s)__12-3__ 5-20-16 5th hour Calculator # 21
3) If triangles ABD and ECD are similar, what is the area of triangle ABD if CD is 6
inches, BD is 12 inches, EC is 3 inches?
A. 36 square inches
B. 72 square inches
C. 9 square inches
D. 24 square inches
3
12
6
Geometry Section(s) 9-8 and Solids of Revolution 5-20-16 5th hour
Calculator #22
1) Datboi is making a vase. This is how his vase looks like while it’s spinning on the
pottery wheel:
Keep in mind there are hollow parts.
Which of the following shapes could the end result NOT be?
a)
b)
c)
d) All 3 would work
Geometry Section(s) 9-8 and Solids of Revolution 5-24-16 5th hour
Calculator #22
2) Pepe is making 3-D shapes. This is his net for one of them:
What 3-D shape would it form when folded?
A. Tetrahedron
B. Irregular Triangular Pyramid
C. Irregular Triangular Prism
D. Not Enough Information
Geometry Section(s) 9-8 and Solids of Revolution 5-24-16 5th hour
Calculator #22
3) Leonardo DiCaprio won an Oscar, so he folded up a fancy box for it.
Which net would NOT fold up to make it?:
a)
b)
c)
d) All 3 would work
Geometry Section(s) 6-3____ 5-20-16 5th hour Calculator #23
1. The diagram is not to scale. In circle A points B, C,
and C are on the circumference. Angle BAC has a
measure of 27 degrees. Find the measure of Angle
BDC.
A.) 54 degrees
B.) 13.5 degrees
C.) 6.75 degrees
D.) 108 degrees
Geometry Section(s) 6-3____ 5-20-16 5th hour Calculator #23
2. The diagram is not to scale. Which angle is the
inscribed angle in circle A?
A.) Angle BEC
B.) Angle BDC
C.) Both of the above
D.) None of the above
Geometry Section(s) 6-3____ 5-20-16 5th hour Calculator #23
3. The diagram is not to scale. In Circle A, angle BAD
has a measure of 180 degrees. The radius of circle A is
20.5. BC and CD have integer lengths with CD < BC.
Find the length of CD and BC
A.) BC=40, CD=9
B.) BC=9, CD=40
C.) Not enough
information
D.) None of the above
Geometry Section(s)13-1
5-20-16 5th hour Calculator #24
Question #1
Lines a, b, and c are parallel to each other. Line d is
perpendicular to line b. Solve for x. Round to the hundredths
place. What justifies your conclusion?
A)290.90 Side-Splitting Converse Theorem
B)137.50 Cross Multiplication
C)290.91 Side-Splitting Converse Theorem
D)88.00 Proportional Sides Theorem
Geometry Section(s)13-1
5-20-16 5th hour Calculator #24
Question 2
Ella and Tess are skating down ramps. They want to go down a ramp
with a drop at the bottom and jump off it. They need to figure out how far
they are on the ramp horizontally so they don’t hit the bottom of the
ramp and fall when they jump off.The edge of the ramp is parallel to the
line in the middle of the ramp. What is the value of X?
A)1.33ft
B)2ft
C)1.5ft
D)1 ⅓ft
Geometry Section(s)13-1
5-20-16 5th hour Calculator #24
Question 3
In the figure at the right,
AB’C’ is the image of
ABC under a transformation with center A. What is
the magnitude of the size transformation? If AC’=30
how long is AC?
A) 0.75; 70
B) 0.75; 40
C) 4/3; 70
D) 4/3; 40
Geometry Section(s) 13.6 5-20-16 5th hour Calculator #25
1. Wasp Removal Company™ is trying to get
rid of a wasp nest on a house. The guy doing
the job brought a very flexible ladder with
him that can be whatever size he needs. The
wasp nest is 25 feet off the ground. If the
ladder needs to meet the ground at 25° for
safety, what length will the ladder need to
be? Round to the nearest inch. (Answers in
feet, then inches)
25 ft
A. 59.2 ft
B. 59.3 ft
C. 59’ 2”
D. 60’
Not to scale
Geometry Section(s) 13-6 5-20-16 5th hour Calculator #25
2. Find x. Round to the
nearest tenth if needed.
A. 0.4
B. 10.5
23°
27
C. 11
D. 10.6
x
Geometry Section(s) 13.6 5-20-16 5th hour Calculator #25
3. You decide you want a triangle on Mrs.
Morford’s classroom wall, a section of which is
9 feet long and 12 feet tall. You decide you
want the hypotenuse of the triangle to be 14
feet and for it to have an angle to the
horizontal of 50°. Will the triangle fit on the
wall? And how long will the “???” leg be?
Round to the appropriate tenth.
A. Yes, 128.4 ft
12
14
???
B. Yes, 10.7 ft
C. No, 13.7 ft
50°
D. No, 12.2 ft
9
Geometry Section(s) 8-2
5-20-16 5th hour Calculator #26
Question #1
Look at the roof of your
amazing school and find
the area.
A) 262
B) 131
C) 126
D)256
4
5
3
2
]1
5
2
7
2
6
6
3
2
17
6
8
Geometry Section(s) 8-2
5-20-16 5th hour Calculator #26
Mary is trying to bake the world's largest pizza. The largest on record
is ~46759.47 feet2 and mary wants to make a rectangular pizza that
would be 48000 feet2. The only problem is her oven is only 75 feet
long, find the other side and the area in yards (to the nearest tenth)
A) 640 feet, 5333.3 yd2
B) 64 feet, 5333.3 yd2
C) 64 feet, 16000.0 yd2
D) 640 feet, 16000.0 yd2
X
75
Geometry Section(s) 8-2
5-20-16 5th hour Calculator #26
Barbara is trying to order an army
of forks, she wants to get a gross
(144) but needs to know how
much space they would take up
in her office. Given each shape
of the fork is a square, and she
has 800 cm2 of space in her
office. Can she fit them all and
how much space would they
take up?
A) No, 864 cm2
B) Yes, 6 cm2
C) No, 1728 cm2
D)Yes, 36 cm2
0.5 cm{
Geometry Section(s) 12-2 5-20-16 5th hour Calculator #27
1.Which of the following is
not a proportion?
a.2/7=x/9
b.3/7
c.NO/N’O’=YT/Y’T’
d.x+8/5=7+r/3
Geometry Section(s)12-2 5-23-16 5th Hour Calculator #27
2. What is the Means-Extremes property?
a. If a/b=c/d, then ad=bc
b. If a=b, and a=c, then b=c
c. d=√(x2-x1)^2+(y2-y1)^2
d. On a number line, the midpoint of the
segment with endpoints x1 and x2 has
coordinate x1+x2/2
Geometry Section(s)12-2 5-23-16 5th Hour Calculator #27
3.Which of the following is a ratio?
a. 6/9=2/3
b. 5/9
c.x/3=4/12
d. none of these are ratios
Geometry Section(s) 10.6 – 10.7 5-20-16 5th hour Calculator #29
1.) Find the radius of a sphere with a
volume of 72π. (Round answer to
nearest tenth)
a. 7.4
b. 3.8
c. 6
d. 2.6
Vol: 72π
Geometry Section(s) 10.6 – 10.7 5-24-16 5th hour Calculator #29
2.) An architect is overseeing the construction
of a dome (half-sphere), and it comes time to
paint it. If the dome is 32 feet tall, about how
many gallons of paint will he need to cover the
dome with 2 coats of paint if each gallon covers
350 square feet?
(Round to nearest gallon)
a. 37
b. 1,177
c. 6,434
d. 19
32 ft
Geometry Section(s) 10.6 – 10.7 5-25-16 5th hour Calculator #29
3.) A water balloon is advertised to become a
sphere with a radius of 5.7 inches when filled
completely. About how many cube inches of
water must be used to fill the water balloon
completely?
(Round answer to nearest tenth)
a. 775.7
b. 246.9
c. 436.4
d. 136.1
5.7
Geometry Section(s) 12-7
5-20-16 5 hour Calculator #30
x
Question #1
Kelsey said that ΔABC and ΔYXC at the right were
similar by the SAS similarity theorem because
ACB was congruent to YCX, AC ~ CY,
and AB ~ YX.
Is she right and why?
1
5
12
A) Yes, she is right because of the SAS similarity
theorem
A) No, she is wrong because she didn’t use the
included angle
a
C) No, she is wrong because she should have used
AB ~ YX and CB ~ CX
D) Yes, she is right because of the SSA similarity
5
theorem
c
y
4
b
Geometry Section(s) 12-7
5-20-16 5 hour Calculator #30
Question #2
Anna is 5’ 1’’ and casts a shadow that is 2’ 7’’. At the same
time, a tree casts a shadow that is 14’ 5’’. What is the
approximate height of the tree and how much taller than
Anna is the tree? Round all answers to the nearest
hundredth.
A) Tree height: 340.42 inches, height difference: 279.42
inches
B) Tree height: 87.92 inches, height difference: 26.92 inches
C) Tree height: 340.41 inches, height difference: 279.41
inches
D) Tree height: 297.84 inches, height difference: 236.84
inches
Geometry Section(s) 12-7
5-20-16 5 hour Calculator #30
Question #3
1.
Are the each of the sets of
triangles at the right similar?
Why or why not?
A) 1. Yes, AA similarity theorem, 2. No, didn’t use the
included angle
B) 1. No, not enough information, 2. Yes, SAS similarity
theorem
C) 1. Yes, AA similarity theorem, 2. Yes, SAS similarity
theorem
D) 1. No, not enough information, 2. No, didn’t use the
included angle
2.
10
4
3
7.5
Geometry Section14.1 5-24-16 5th hour Calculator # 32
1. In a circle with radius of 30 cm, find the length of a chord of a 120◦
arc .
A.
60cm
B.
30cm
C.
30 2 cm
D.
30 3 cm
Geometry Section14.1 5-24-16 5th hour Calculator # 32
2. In a circle with radius of 30 cm, find the length of a chord of a 90◦ arc
.
A.
60cm
B.
30cm
C.
30 2 cm
D.
30 3 cm
Geometry Section14.1 5-24-16 5th hour Calculator # 32
3. In a circle with radius of 30 cm, find the length of a chord of a 60◦ arc
.
A.
60cm
B.
30cm
C.
30 2 cm
D.
30 3 cm