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Let’s Get Ready to Play Some

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F 3 in. G 21 in. H 16 in. J 5 in. Board Geometric Problem Solving 500 A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. – PowerPoint PPT presentation

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Title: Let’s Get Ready to Play Some


1
(No Transcript)
2
Lets Get Ready
To Play Some . . .
3
J
E
O
P
A
R
D
Y
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
4
Jeopardy Board
Final Jeopardy
5
Dilations and Measurements 100
The scale of two similar quadrilaterals is 12.
The perimeter of the smaller quadrilateral is 80
centimeters. What is the perimeter of the larger
quadrilateral? A 40 cm B 80 cm C 160 cm D
320 cm
Board
Answer
6
Dilations and Measurements 100
The scale of two similar quadrilaterals is 12.
The perimeter of the smaller quadrilateral is 80
centimeters. What is the perimeter of the larger
quadrilateral? A 40 cm B 80 cm C 160 cm D
320 cm
Pick a rectangle with a perimeter of 80 cm
30 cm
10 cm
Area 300 cm2
Create a rectangle twice as big
60 cm
Perimeter 160 cm
Area 1200 cm2
20 cm
Board
The area is 4 times as big
7
Dilations and Measurements 200
The scale factor of two similar polygons is 23.
The perimeter of the larger polygon is 150
centimeters. What is the perimeter of the smaller
polygon? A 100 cm B 75 cm C 50 cm D 150 cm
Board
Answer
8
Dilations and Measurements 200
The scale factor of two similar polygons is 23.
The perimeter of the larger polygon is 150
centimeters. What is the perimeter of the smaller
polygon? A 100 cm B 75 cm C 50 cm D 150 cm
Pick a rectangle with a perimeter of 150 cm
60 cm
Area 900 cm2
15 cm
Create a rectangle 2/3 as big
40 cm
Perimeter 100 cm
10 cm
Area 400 cm2
Board
The area is as big
9
Dilations and Measurements 300
Tony and Edwin each built a rectangular garden.
Tonys garden is twice as long and twice as wide
as Edwins garden. If the area of Edwins garden
is 600 square feet, what is the area of Tonys
garden? A 1200 ft2 B 2400 ft2 C 3600 ft2 D
4800 ft2
Board
Answer
10
Dilations and Measurements 300
Tony and Edwin each built a rectangular garden.
Tonys garden is twice as long and twice as wide
as Edwins garden. If the area of Edwins garden
is 600 square feet, what is the area of Tonys
garden? A 1200 ft2 B 2400 ft2 C 3600 ft2 D
4800 ft2
Pick a rectangle with an area of 600 ft2
30 ft
20 ft
Per. 100 ft
Create a rectangle twice as big
60 ft
Area 2400 ft2 (4 times the area)
Per. 200 ft
40 ft
Board
The perimeter is twice as big
11
Dilations and Measurements 400
A rectangular solid has a volume of 24 cubic
decimeters. If the length, width, and height are
all changed to their original size, what will
be the new volume of the rectangular solid? A 3
dm3 B 4 dm3 C 6 dm3 D 12 dm3

Board
Answer
12
Dilations and Measurements 400
A rectangular solid has a volume of 24 cubic
decimeters. If the length, width, and height are
all changed to their original size, what will
be the new volume of the rectangular solid? A 3
dm3 B 4 dm3 C 6 dm3 D 12 dm3
Pick a rectangular solid with a volume of 24 dm3
6 dm
2 dm
2 dm
Create a rectangle half as big
3 dm
Board
Vol 3 dm3 ( the volume)
1 dm
1 dm
13
Dilations and Measurements 500
If the surface area of a cube is increased by a
factor of 4, what is the change in the length of
the sides of the cube? F The length is 2 times
the original length. G The length is 4 times
the original length. H The length is 6 times
the original length. J The length is 8 times
the original length.
Board
Answer
14
Dilations and Measurements 500
If the surface area of a cube is increased by a
factor of 4, what is the change in the length of
the sides of the cube? F The length is 2 times
the original length. G The length is 4 times
the original length. H The length is 6 times
the original length. J The length is 8 times
the original length.
Each length 2 times as big makes the area _____
times bigger
4
Each length 4 times as big makes the area _____
times bigger
16
Each length 6 times as big makes the area _____
times bigger
36
Each length 8 times as big makes the area _____
times bigger
64
Board
15
Proportions 100
Kate has 2 similar triangular pieces of paper, as
shown below.
Using the dimensions given, find the approximate
length of the side labeled p.
Board
Answer
16
Proportions 100
Kate has 2 similar triangular pieces of paper, as
shown below.
Using the dimensions given, find the approximate
length of the side labeled p.
F 2.4 centimeters G 7.3 centimeters H 16.5
centimeters J 19.6 centimeters
18p 132
18
18
x 7.3
11
Board
p
17
Proportions 200
If ?TSR is similar to ?TNM, what is the length of
x?
Board
Answer
18
Proportions 200
If ?TSR is similar to ?TNM, what is the length of
x?
A 240 units B 140 units C 120 units D 70 units
18p 132
120x 16800
x
120
120
240
x 140
Board
19
Proportions 300
A certain parallelogram has the dimensions shown.
Which set of dimensions would produce a similar
figure? F 17.6 cm, 88 cm G 70.4 cm, 176 cm H
105.6 cm, 132 cm J 140.8 cm, 220 cm
Board
Answer
20
Proportions 300
A certain parallelogram has the dimensions shown.
Which set of dimensions would produce a similar
figure? F 17.6 cm, 88 cm G 70.4 cm, 176 cm H
105.6 cm, 132 cm J 140.8 cm, 220 cm
70.4, 88
(35.2 cm, 44 cm) ? 2 __________
140.8, 176
(35.2 cm, 44 cm) ? 4 __________
105.6, 132
Board
(35.2 cm, 44 cm) ? 3 __________
21
Proportions 400
To estimate the height of her schools gym,
Nicole sights the top of the gym wall in a mirror
that she has placed on the ground. The mirror is
3.6 meters from the base of the gym wall. Nicole
is standing 0.5 meter from the mirror, and her
height is about 1.8 meters. What is the height of
the gym wall?
Board
Answer
22
Proportions 400
To estimate the height of her schools gym,
Nicole sights the top of the gym wall in a mirror
that she has placed on the ground. The mirror is
3.6 meters from the base of the gym wall. Nicole
is standing 0.5 meter from the mirror, and her
height is about 1.8 meters. What is the height of
the gym wall?
x
F 1 m G 5.9 m H 7.2 m J 12.96 m
3.6
0.5x 6.48
0.5
0.5
x 12.96
Board
23
Proportions 500
In El Paso, Texas, the streets named Hercules
Avenue, Hondo Pass Drive, and Trans Mountain Road
are parallel. They all intersect Dyer Street and
U.S. Route 54, as shown on the map below. If all
of these streets are straight line segments, how
long is Dyer Street between Hercules Avenue and
Trans Mountain Road?
Board
Answer
24
Proportions 500
In El Paso, Texas, the streets named Hercules
Avenue, Hondo Pass Drive, and Trans Mountain Road
are parallel. They all intersect Dyer Street and
U.S. Route 54, as shown on the map below. If all
of these streets are straight line segments, how
long is Dyer Street between Hercules Avenue and
Trans Mountain Road?
A 8,450 ft B 9,900 ft C 13,200 ft D 19,800 ft
10560
x
5280x 69696000
5280
5280
x 13,200
Board
25
Geometric Problem Solving 100
The map below shows 2 different routes Ms.
Bentsen can take to drive to the airport from her
house. How many miles could Ms. Bentsen save by
traveling on Airport Road instead of Mountain
Highway and Oak Road to get to the airport?
Board
Answer
26
Geometric Problem Solving 100
The map below shows 2 different routes Ms.
Bentsen can take to drive to the airport from her
house. How many miles could Ms. Bentsen save by
traveling on Airport Road instead of Mountain
Highway and Oak Road to get to the airport?
a2 b2 c2
A 20 mi B 30 mi C 35 mi D 60 mi
252 b2 652
625 b2 4225
-625
-625
b2 3600
60 mi
b 60
Board
Distance _____
85 mi
Distance saved _____
20 mi
27
Geometric Problem Solving 200
The total area of trapezoid FGHJ is 52 square
inches. What is the approximate length of FJ?
Board
Answer
28
Geometric Problem Solving 200
The total area of trapezoid FGHJ is 52 square
inches. What is the approximate length of FJ?
A 8.0 in. B 8.5 in. C 11.0 in. D 11.5 in.
a2 b2 c2
8 in
82 32 c2
64 9 c2
73 c2
3 in
8.5 c
Board
29
Geometric Problem Solving 300
What is the area of the square in the figure
below?
Board
Answer
30
Geometric Problem Solving 300
What is the area of the square in the figure
below?
A 5.2 square units B 6.7 square units C 27
square units D 45 square units
6.708 in
6 in
3 in
a2 b2 c2
62 32 c2
36 9 c2
45 c2
6.7 c
Area of a square ______
s2
Board
31
Geometric Problem Solving 400
The shaded area in the circle below represents
the section of a park used by the chamber of
commerce for a fund-raising event. What is the
approximate area of the section of the park used
for the fund-raiser?
Board
Answer
32
Geometric Problem Solving 400
The shaded area in the circle below represents
the section of a park used by the chamber of
commerce for a fund-raising event. What is the
approximate area of the section of the park used
for the fund-raiser?
F 339 square feet G 1,357 square feet H 4,071
square feet J 12,214 square feet
Board
33
Geometric Problem Solving 500
A frozen dinner is divided into 3 sections on a
circular plate with a 12-inch diameter. What is
the approximate length of the arc of the section
containing peas?
Board
Answer
34
Geometric Problem Solving 500
A frozen dinner is divided into 3 sections on a
circular plate with a 12-inch diameter. What is
the approximate length of the arc of the section
containing peas?
F 3 in. G 21 in. H 16 in. J 5 in.
Board
35
Final Jeopardy Category
Proportions
Board
36
Final Jeopardy Question
In ?STR, and are parallel

If SQ 6 units, QT 24 units, and the perimeter
of ?SQP is 20 units, what is the perimeter of
?STR?
Answer
37
Final Jeopardy Answer
In ?STR, and are parallel
If SQ 6 units, QT 24 units, and the perimeter
of ?SQP is 20 units, what is the perimeter of
?STR?
24
6
A 80 units B 100 units C 320 units D 500 units
30
How long is ST? _______
How many times bigger is the larger triangle?
_______
5
Board
5
The perimeter is how many times larger? _______
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