Let

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(No Transcript)
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Lets Get Ready
To Play Some . . .
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J
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JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
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Jeopardy Board
Final Jeopardy
Transformations Tessellations and Fractals Geometric Properties Special Right Triangles Transformations on a Grid
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
500 500 500 500
5
Transformations Tessellations and Fractals 100
The figure below shows the positions of a
surveying crew measuring the distance to a tree
across the river. Which of the following best
represents the measure of TAP?
A 58 B 69 C 90 D 122
Board
Answer
6
Transformations Tessellations and Fractals 100
The figure below shows the positions of a
surveying crew measuring the distance to a tree
across the river. Which of the following best
represents the measure of TAP?
A 58 B 69 C 90 D 122
Board
7
Transformations Tessellations and Fractals 200
The figure below shows Aarons recent hiking
course, which started at point L, went to point
M and then point P, and then returned to point L.
What is the measure of LMP formed by Aarons
hiking course?
A 101 B 79 C 54 D 43
Board
Answer
8
Transformations Tessellations and Fractals 200
The figure below shows Aarons recent hiking
course, which started at point L, went to point
M and then point P, and then returned to point L.
What is the measure of LMP formed by Aarons
hiking course?
79
A 101 B 79 C 54 D 43
_____?
47
Board
9
Transformations Tessellations and Fractals 300
The first 4 stages of a certain fractal are shown
below. In each stage after the first, each square
is divided into 4 squares, and then the bottom
right square is removed. If the pattern
continues, how many shaded square units will
Stage 5 contain?
F 243 G 54 H 81 J 27
Board
Answer
10
Transformations Tessellations and Fractals 300
The first 4 stages of a certain fractal are shown
below. In each stage after the first, each square
is divided into 4 squares, and then the bottom
right square is removed. If the pattern
continues, how many shaded square units will
Stage 5 contain?
F 243 G 54 H 81 J 27
1
3
9
27
Board
5th Stage? _____
11
Transformations Tessellations and Fractals 400
Start with a 1-unit-by-1-unit unshaded square. In
each iteration, the following steps occur for the
smallest unshaded squares resulting from the
previous iteration. Step 1 Divide the square
into a 3-by-3 grid of squares Step 2 Shade only
the center square of this 3-by-3 grid What
fraction of the 1-unit-by-1-unit square is shaded
after the second iteration?

F G H J
Board
Answer
12
Transformations Tessellations and Fractals 400
Start with a 1-unit-by-1-unit unshaded square. In
each iteration, the following steps occur for the
smallest unshaded squares resulting from the
previous iteration. Step 1 Divide the square
into a 3-by-3 grid of squares Step 2 Shade only
the center square of this 3-by-3 grid What
fraction of the 1-unit-by-1-unit square is shaded
after the second iteration?
F G H J
Board
13
Transformations Tessellations and Fractals 500
The regular octagon below shows selected
positions on a combination lock. The dial of the
lock is turned 90 clockwise and then 45
counterclockwise. Which pair of points can
describe the starting and ending points of a
marker on the dial of this lock?
A T to U B S to V C W to V D Z to W
Board
Answer
14
Transformations Tessellations and Fractals 500
The regular octagon below shows selected
positions on a combination lock. The dial of the
lock is turned 90 clockwise and then 45
counterclockwise. Which pair of points can
describe the starting and ending points of a
marker on the dial of this lock?
A T to U B S to V C W to V D Z to W
90 clockwise
Try A T to U
45 ccw
Board
15
Geometric Properties 100
The measure of an exterior angle is shown for
each of 3 regular polygons below. Which
expression best represents the measure in degrees
of an exterior angle of a regular polygon with n
sides?
A 30(n 1) B C 30(n - 1) D
Board
Answer
16
Geometric Properties 100
The measure of an exterior angle is shown for
each of 3 regular polygons below. Which
expression best represents the measure in degrees
of an exterior angle of a regular polygon with n
sides?
A 30(n 1) B C 30(n - 1) D
?
( )
?
( )




Sides
Degrees
3 120
4 90
Board
6 60
17
Geometric Properties 200
On the map below, First Avenue and Second Avenue
are parallel. A city planner proposes to locate a
small garden and park on the triangular island
formed by the intersections of four streets shown
below. What are the measures of the three angles
of the garden?
Board
Answer
18
Geometric Properties 200
On the map below, First Avenue and Second Avenue
are parallel. A city planner proposes to locate a
small garden and park on the triangular island
formed by the intersections of four streets shown
below. What are the measures of the three angles
of the garden?
90
50
F 90, 65, 25 G 90, 50, 40 H 90, 60,
30 J 130, 40, 10
40
Straight angle ______
180
Board
50
19
Geometric Properties 300
The figure below shows the first 3 stages of a
fractal. How many circles will the nth stage of
this fractal contain?
F 2n G 2n H 2n - 1 J 2n - 1
Board
Answer
20
Geometric Properties 300
The figure below shows the first 3 stages of a
fractal. How many circles will the nth stage of
this fractal contain?
F 2n G 2n H 2n - 1 J 2n - 1
Stage Circles



1
1
2
3
Board
3
7
21
Geometric Properties 400
Use the table to determine the expression that
best represents the number of diagonals of any
convex polygon having n sides.

Board
Answer
22
Geometric Properties 400
Use the table to determine the expression that
best represents the number of diagonals of any
convex polygon having n sides.

Board
23
Geometric Properties 500
In the figure shown below, BC is parallel to ED,
and AE is perpendicular to ED. The measure of
?ABC is 130. What is the measure of ?BAE in
degrees? Record your answer and fill in the
bubbles on your answer document. Be sure to use
the correct place value.
Board
Answer
24
Geometric Properties 500
In the figure shown below, BC is parallel to ED,
and AE is perpendicular to ED. The measure of
?ABC is 130. What is the measure of ?BAE in
degrees? Record your answer and fill in the
bubbles on your answer document. Be sure to use
the correct place value.
130
There are 3 triangle in the figure
1 4 0
90
140
3(180) 540
Board
90
90
25
Special Right Triangles 100
A fence around a square garden has a perimeter of
48 feet. Find the approximate length of the
diagonal of this square garden.
Board
Answer
26
Special Right Triangles 100
A fence around a square garden has a perimeter of
48 feet. Find the approximate length of the
diagonal of this square garden.
The length of the diagonal is _____ ft
F 12 ft G 17 ft H 21 ft J 24 ft
a2 b2 c2
122 122 c2
144 144 c2
12 ft
12 ft
12 ft
Length of each side ______
288 c2
Board
16.97 c
27
Special Right Triangles 200
A kite string is 220 feet long from the kite to
the ground. The string makes a 45 angle with the
ground. About how high off the ground is the
kite?
Board
Answer
28
Special Right Triangles 200
A kite string is 220 feet long from the kite to
the ground. The string makes a 45 angle with the
ground. About how high off the ground is the
kite?
220 ft
F 110 ft G 127 ft H 156 ft J 311 ft
a2 b2 c2
a2 b2 2202
a2 a2 2202
2a2 48400
2
2
a2 24200
The height of the kite is _____ ft
Board
29
Special Right Triangles 300
?WXY is a right triangle. Find the length of
A 20 mm B 20 mm C 60 mm D 40 mm
Board
Answer
30
Special Right Triangles 300
?WXY is a right triangle. Find the length of
A 20 mm B 20 mm C 60 mm D 40 mm
60
80 mm
80 mm
30
m? Y ____
30
80 mm
Board
31
Special Right Triangles 300
?WXY is a right triangle. Find the length of
A 20 mm B 20 mm C 60 mm D 40 mm
60
80 mm
80 mm
a2 b2 c2
402 b2 802
1600 b2 6400
30
-1600
-1600
m? Y ____
30
b2 4800
b 69.282
80 mm
Board
32
Special Right Triangles 400
The 12-foot-long bed of a dump truck loaded with
debris must rise to an angle of 30 before the
debris will spill out. Approximately how high
must the front of the bed rise for the debris to
spill out?
Board
Answer
33
Special Right Triangles 400
The 12-foot-long bed of a dump truck loaded with
debris must rise to an angle of 30 before the
debris will spill out. Approximately how high
must the front of the bed rise for the debris to
spill out?
F 1.7 ft G 18 ft H 10.4 ft J 6 ft
60
6 ft
12 ft
12 ft
60
Board
34
Special Right Triangles 400
The 12-foot-long bed of a dump truck loaded with
debris must rise to an angle of 30 before the
debris will spill out. Approximately how high
must the front of the bed rise for the debris to
spill out?
F 1.7 ft G 18 ft H 10.4 ft J 6 ft
60
6 ft
12 ft
12 ft
60
Board
35
Special Right Triangles 500
Megan is using an equilateral triangle as part of
a design on a sweatshirt. Each side of the
triangle is 12 inches long. Megan is sewing a
line of sequins from the midpoint of one side of
this triangle to the opposite vertex.
Approximately how long will the line of sequins
be?
Board
Answer
36
Special Right Triangles 500
Megan is using an equilateral triangle as part of
a design on a sweatshirt. Each side of the
triangle is 12 inches long. Megan is sewing a
line of sequins from the midpoint of one side of
this triangle to the opposite vertex.
Approximately how long will the line of sequins
be?
A 13.4 in. B 10.4 in. C 8.5 in. D 5.2 in.
12 ft
12 ft
a2 b2 c2
6 ft
62 b2 122
36 b2 144
12 ft
-36
-36
b2 108
Board
b 10.392
37
Transformations on a Grid 100
Find the coordinates of the vertices of the
rectangle if it is translated 3 units right and 3
units down
Board
Answer
38
Transformations on a Grid 100
Find the coordinates of the vertices of the
rectangle if it is translated 3 units right and 3
units down
(9,2)
(3,2)
(3,0)
(9,0)
Board
39
Transformations on a Grid 200
Look at the triangles graphed on the grid below.
Which of the following correctly describes two
triangles, one a single reflection of the other
across the x-axis? A ?KLM ? ?PNM B ?KRM ? ?PQM C
?KRM ? ?PNM D ?KLM ? ?KRM
Board
Answer
40
Transformations on a Grid 200
Look at the triangles graphed on the grid below.
Which of the following correctly describes two
triangles, one a single reflection of the other
across the x-axis? A ?KLM ? ?PNM B ?KRM ? ?PQM C
?KRM ? ?PNM D ?KLM ? ?KRM
Board
41
Transformations on a Grid 300
Which pair of the following polygons is
congruent? F Polygon A and C G Polygon B and
D H Polygon A and B J Polygon B and C
Board
Answer
42
Transformations on a Grid 300
Which pair of the following polygons is
congruent? F Polygon A and C G Polygon B and
D H Polygon A and B J Polygon B and C
2.5
3
4
3
Board
43
Transformations on a Grid 400
Figure MNPQ is shown on the coordinate
plane. Which transformation creates an image
with a vertex at the origin? A Rotate figure
MNPQ 90 around M B Reflect figure MNPQ
across the line x 1 C Reflect figure MNPQ
across the line y 2.5 D Translate figure MNPQ
to the left 6 and down 5
Board
Answer
44
Transformations on a Grid 400
Figure MNPQ is shown on the coordinate
plane. Which transformation creates an image
with a vertex at the origin? A Rotate figure
MNPQ 90 around M B Reflect figure MNPQ
across the line x 1 C Reflect figure MNPQ
across the line y 2.5 D Translate figure MNPQ
to the left 6 and down 5
(6, 5)
Board
45
Transformations on a Grid 500
Which coordinates are the vertices of a triangle
congruent to ?MNP? F (-11, 13), (-9, 16), (-4,
16) G (-8, 5), (-5, 2), (-1, 4) H (-20, 4),
(-17, 7), (-12, 5) J (-15, 14), (-18, 17), (-17,
22)
Board
Answer
46
Transformations on a Grid 500
Which coordinates are the vertices of a triangle
congruent to ?MNP? F (-11, 13), (-9, 16), (-4,
16) G (-8, 5), (-5, 2), (-1, 4) H (-20, 4),
(-17, 7), (-12, 5) J (-15, 14), (-18, 17), (-17,
22)
Board
47
Final Jeopardy Category
Special Right Triangles
Board
48
Final Jeopardy Question
In the figure below, what is the length of ML in
centimeters?
Record your answer and fill in the bubbles on
your answer document. Be sure to use the correct
place value.
Answer
49
Final Jeopardy Answer
In the figure below, what is the length of ML in
centimeters?
ML 21 96 117 cm
35 cm
28 cm
a2 b2 c2
282 b2 352
a2 b2 c2
784 b2 1225
282 b2 1002
-784
-784
784 b2 10000
b2 441
1 1 7
-784
-784
b 21
21 cm
b2 9216
b 96
96 cm
28 cm
100 cm
Board