Post on 10-Feb-2016
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Let’s Get ReadyTo Play Some . . .
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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
Final Jeopardy
Jeopardy Board
Board Answer
Transformations Tessellations and Fractals 100The 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
Transformations Tessellations and Fractals 100The 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
Transformations Tessellations and Fractals 200The figure below shows Aaron’s 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 Aaron’s hiking course?
A 101°B 79°C 54°D 43°
Board
Transformations Tessellations and Fractals 200The figure below shows Aaron’s 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 Aaron’s hiking course?
A 101°B 79°C 54°D 43°
47°
79°
_____?
Board Answer
Transformations Tessellations and Fractals 300The 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 243G 54H 81J 27
Board
Transformations Tessellations and Fractals 300
F 243G 54H 81J 27 1 3 9 27
5th Stage? _____
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 G
H J
Board Answer
Transformations Tessellations and Fractals 400
49
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 squaresStep 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?
1781
79
6473
Board
Transformations Tessellations and Fractals 400
F G
H J
49
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 squaresStep 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?
1781
79
6473
Board Answer
Transformations Tessellations and Fractals 500The 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 UB S to VC W to VD Z to W
Board
Transformations Tessellations and Fractals 500The 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 UB S to VC W to VD Z to W 90°
clockwise45° ccwTry: A T to U
A 30(n + 1) B
C 30(n − 1)
D
Board Answer
Geometric Properties 100
360(n - 2)n
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?
360n
Board
Geometric Properties 100
A 30(n + 1) B
C 30(n − 1)
D
360(n - 2)n
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?
360n
# Sides Degrees
3 120
4 90
6 60
( )( )
✘✘
Board Answer
Geometric Properties 200On 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? 1st Ave
2nd Ave
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
Geometric Properties 200
1st Ave
2nd Ave
F 90°, 65°, 25°G 90°, 50°, 40°H 90°, 60°, 30°J 130°, 40°, 10° 40°
90°50°
Straight angle = ______180°50°
Board Answer
Geometric Properties 300The figure below shows the first 3 stages of a fractal. How many circles will the nth stage of this fractal contain?F 2nG 2n
H 2n − 1J 2n − 1
Board
Geometric Properties 300The figure below shows the first 3 stages of a fractal. How many circles will the nth stage of this fractal contain?F 2nG 2n
H 2n − 1J 2n − 1
Stage Circles
1 12 33 7
Board Answer
Geometric Properties 400
A n − 3
B
C
D n(n − 3)
n - 32
n(n - 3)2
Use the table to determine the expression that best represents the number of diagonals of any convex polygon having n sides.
Board
Geometric Properties 400Use the table to determine the expression that best represents the number of diagonals of any convex polygon having n sides.
A n − 3
B
C
D n(n − 3)
n - 32
n(n - 3)2
Board Answer
Geometric Properties 500In 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.
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
Geometric Properties 500
130°
There are 3 triangle in the figure
3(180°) = 540°
90°
90°90°
140°
1 4 0
Board Answer
Special Right Triangles 100A fence around a square garden has a perimeter of 48 feet. Find the approximate length of the diagonal of this square garden.
A fence around a square garden has a perimeter of 48 feet. Find the approximate length of the diagonal of this square garden.
Board
Special Right Triangles 100
F 12 ftG 17 ftH 21 ftJ 24 ft
Length of each side = ______12 ft
The length of the diagonal is _____ ft
12 ft12 ft
a2 + b2 = c2
122 + 122 = c2
144 + 144 = c2
288 = c2
16.97 = c
Board Answer
Special Right Triangles 200A 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
Special Right Triangles 200A 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?
F 110 ftG 127 ftH 156 ftJ 311 ft
220 ft
The height of the kite is _____ ft
a2 + b2 = c2
a2 + b2 = 2202
a2 + a2 = 2202
2a2 = 484002 2a2 = 24200
Board Answer
Special Right Triangles 300
A 20 mmB 20 mmC 60 mmD 40 mm
3
3
WY∆WXY is a right triangle. Find the length of
A 20 mmB 20 mmC 60 mmD 40 mm
Board
Special Right Triangles 300WY∆WXY is a right triangle. Find the length of
3
3
m Y = ____30°30°
60°
80 m
m 80 mm
80 mm
Board
Special Right Triangles 300WY∆WXY is a right triangle. Find the length of
A 20 mmB 20 mmC 60 mmD 40 mm
3
3
m Y = ____30°30°
60°
80 m
m 80 mm
80 mm
a2 + b2 = c2
402 + b2 = 802
1600 + b2 = 6400-1600 -1600
b2 = 4800b = 69.282
Board Answer
Special Right Triangles 400The 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 ftG 18 ftH 10.4 ftJ 6 ft
Board
Special Right Triangles 400The 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?
60°
60°
12 ft6 ft
12 ft
F 1.7 ftG 18 ftH 10.4 ftJ 6 ft
Board
Special Right Triangles 400The 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?
60°
60°
12 ft6 ft
12 ft
Board Answer
Special Right Triangles 500Megan 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?
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
Special Right Triangles 500
A 13.4 in.B 10.4 in.C 8.5 in.D 5.2 in.
12 ft
12 ft
12 ft
6 fta2 + b2 = c2
62 + b2 = 122
36 + b2 = 144-36 -36
b2 = 108b = 10.392
Board Answer
Transformations on a Grid 100Find the coordinates of the vertices of the rectangle if it is translated 3 units right and 3 units down
Board
Transformations on a Grid 100Find the coordinates of the vertices of the rectangle if it is translated 3 units right and 3 units down
(3,0) (9,0)
(9,2)(3,2)
Board Answer
Transformations on a Grid 200Look 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 PNMB KRM PQMC KRM PNMD KLM KRM
Board
Transformations on a Grid 200Look 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 PNMB KRM PQMC KRM PNMD KLM KRM
Board Answer
Transformations on a Grid 300Which pair of the following polygons is congruent?F Polygon A and CG Polygon B and DH Polygon A and BJ Polygon B and C
Board
Transformations on a Grid 300Which pair of the following polygons is congruent?F Polygon A and CG Polygon B and DH Polygon A and BJ Polygon B and C
3
2.5
3
4
Board Answer
Transformations on a Grid 400Figure MNPQ is shown on the coordinate plane.Which transformation creates an image with a vertex at the origin?A Rotate figure MNPQ
90° around MB Reflect figure MNPQ
across the line x = 1C Reflect figure MNPQ
across the line y = 2.5D Translate figure MNPQ
to the left 6 and down 5
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 MB Reflect figure MNPQ
across the line x = 1C Reflect figure MNPQ
across the line y = 2.5D Translate figure MNPQ
to the left 6 and down 5
Board
Transformations on a Grid 400
(6, 5)
Board Answer
Transformations on a Grid 500Which 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
Transformations on a Grid 500Which 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)
Final Jeopardy Category
Board
Final Jeopardy Question
Answer
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.
Board
Final Jeopardy AnswerIn the figure below, what is the length of ML in centimeters?35 cm 28 cm
a2 + b2 = c2
282 + b2 = 352
784 + b2 = 1225-784 -784
b2 = 441b = 21
28 cm100 cm
21 cm
a2 + b2 = c2
282 + b2 = 1002
784 + b2 = 10000-784 -784
b2 = 9216b = 9696 cm
ML = 21 + 96 = 117 cm
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