Lets Get Ready To Play Some JEOPARDY Jeopardy

Let’s Get Ready To Play Some. . .

JEOPARDY

Jeopardy Board Final Jeopardy Transformatio ns Tessellations and Fractals Geometric Properties 100 100 200 200 300 300 400 400 500 500 Special Right Transformatio Triangles ns on a Grid

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

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

Transformations Tessellations and Fractals 200 The 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 B C D 101° 79° 54° 43° Board Answer

Transformations Tessellations and Fractals 200 The 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 B C D 101° 79° 54° 43° Board 79° 47° _____?

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 G H J 243 54 81 27 Board Answer

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 G H J 243 54 81 27 Board 1 3 9 27 5 th Stage? _____

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 H G J Board Answer

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 H G J Board

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 B C D T to U S to V W to V Z to W Board Answer

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 B C D T to U S to V W to V Z to W Try: Board A T to U 90° 45 clockwise °c cw

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

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 # Sides Degrees 3 120 4 90 6 60

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? 1 st Ave 2 nd Ave Board Answer

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? F G H J 90°, 65°, 25° 90°, 50°, 40° 90°, 60°, 30° 130°, 40°, 10° Board Straight angle = ______ 180° 50° 1 st Ave 50° 90° 40° 2 nd Ave

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 2 n G 2 n H 2 n − 1 J 2 n − 1 Board Answer

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 2 n G 2 n H 2 n − 1 J 2 n − 1 Stage Circle 1 s 1 Board 2 3 3 7

Geometric Properties 400 Use 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) Board Answer

Geometric Properties 400 Use 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) Board

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

Geometric Properties 500 In the figure shown below, BC is parallel to ED, and AE is perpendicular to ED. The 130° 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 There are 3 triangle in the figure 3(180°) = 540° 1 4 0 90° 140° 90°

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

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 12 ft Length of each side = ______ Board a 2 + b 2 = c 2 122 + 122 = c 2 144 + 144 = c 2 288 = c 2 16. 97 = c

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

Special Right Triangles 200 A kite string is 220 ftfeet 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 G H J 110 ft 127 ft 156 ft 311 ft a 2 + b 2 = c 2 a 2 + b 2 = 2202 a 2 + a 2 = 2202 2 a 2 = 48400 2 2 2 a = 24200 The height of the kite is _____ ft Board

Special Right Triangles 300 ∆WXY is a right triangle. Find the length of A B C D 20 mm 60 mm 40 mm Board Answer

Special Right Triangles 300 ∆WXY is a right triangle. Find the length of 80 mm 60° mm 20 mm 60 mm 40 mm 80 A B C D 30° m Y = ____ 30° 80 mm Board

Special Right Triangles 300 ∆WXY is a right triangle. Find the length of Board mm 80 a 2 + b 2 = c 2 402 + b 2 = 802 1600 + b 2 = 6400 -1600 b 2 = 4800 b = 69. 282 60° mm 20 mm 60 mm 40 mm 80 A B C D 30° m Y = ____ 30° 80 mm

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

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 60° G 18 ft 6 ft 12 ft H 10. 4 ft 12 J 6 ft ft 60° Board

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 60° G 18 ft 6 ft 12 ft H 10. 4 ft 12 J 6 ft ft 60° Board

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

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 B C D 13. 4 in. 10. 4 in. 8. 5 in. 5. 2 in. Board 12 ft a 2 + b 2 = c 2 62 + b 2 = 122 36 + b 2 = 144 -36 b 2 = 108 b = 10. 392 12 ft 6 ft 12 ft

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

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 (3, 2) (3, 0) Board (9, 2) (9, 0)

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

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

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

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 2. 5 J Polygon B and C 3 4 3 Board

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

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 (6, 5)

Transformations on a Grid 500 Which coordinates are the vertices of a triangle congruent to ∆MNP? F G H J (− 11, 13), (− 9, 16), (− 4, 16) (− 8, 5), (− 5, 2), (− 1, 4) (− 20, 4), (− 17, 7), (− 12, 5) (− 15, 14), (− 18, 17), (− 17, 22) Board Answer

Transformations on a Grid 500 Which coordinates are the vertices of a triangle congruent to ∆MNP? F G H J (− 11, 13), (− 9, 16), (− 4, 16) (− 8, 5), (− 5, 2), (− 1, 4) (− 20, 4), (− 17, 7), (− 12, 5) (− 15, 14), (− 18, 17), (− 17, 22) Board

Final Jeopardy Category Board

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

Final Jeopardy Answer In the figure below, what is the length of ML in centimeters? 35 cm 28 cm a 2 + b 2 = c 2 282 + b 2 = 352 784 + b 2 = 1225 -784 b 2 = 441 b = 21 cm 28 cm Board ML = 21 + 96 = 117 cm a 2 + b 2 = c 2 282 + b 2 = 1002 784 + b 2 = 10000 -784 b 2 = 9216 b = 96 cm 100 cm 1 1 7