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Dilations and Measurements Proportions Geometric Problem Solving Final Jeopardy Jeopardy Board

BoardAnswer The scale of two similar quadrilaterals is 1:2. 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 Dilations and Measurements 100

The scale of two similar quadrilaterals is 1:2. 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 Dilations and Measurements 100 Pick a rectangle with a perimeter of 80 cm 30 cm 10 cm Create a rectangle twice as big 60 cm 20 cm Perimeter = 160 cm Area = 300 cm 2 Area = 1200 cm 2 The area is 4 times as big

BoardAnswer Dilations and Measurements 200 The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon? A100 cm B 75 cm C 50 cm D 150 cm

Board Dilations and Measurements 200 The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon? A100 cm B 75 cm C 50 cm D 150 cm Pick a rectangle with a perimeter of 150 cm 60 cm 15 cm Create a rectangle 2/3 as big 40 cm 10 cm Perimeter = 100 cm Area = 900 cm 2 Area = 400 cm 2 The area is as big

BoardAnswer Dilations and Measurements 300 Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden? A 1200 ft 2 B 2400 ft 2 C 3600 ft 2 D 4800 ft 2

Board Dilations and Measurements 300 Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden? A 1200 ft 2 B 2400 ft 2 C 3600 ft 2 D 4800 ft 2 Pick a rectangle with an area of 600 ft 2 30 ft 20 ft Create a rectangle twice as big 60 ft 40 ft Area = 2400 ft 2 (4 times the area) Per. = 100 ft Per. = 200 ft The perimeter is twice as big

BoardAnswer 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? A3 dm 3 B 4 dm 3 C 6 dm 3 D 12 dm 3

Board 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? A3 dm 3 B 4 dm 3 C 6 dm 3 D 12 dm 3 Pick a rectangular solid with a volume of 24 dm 3 6 dm 2 dm Create a rectangle half as big 3 dm 1 dm Vol = 3 dm 3 ( the volume) 2 dm 1 dm

BoardAnswer 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? FThe 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.

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? FThe 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 Dilations and Measurements 500 Each length 8 times as big makes the area _____ times bigger 64 Each length 6 times as big makes the area _____ times bigger 36 Each length 4 times as big makes the area _____ times bigger 16 Each length 2 times as big makes the area _____ times bigger 4

BoardAnswer 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 Proportions 100 Kate has 2 similar triangular pieces of paper, as shown below. F 2.4 centimeters G7.3 centimeters H 16.5 centimeters J 19.6 centimeters Using the dimensions given, find the approximate length of the side labeled p. p 11 18p = x = 7.3

BoardAnswer Proportions 200 If ∆TSR is similar to ∆TNM, what is the length of x?

Board Proportions 200 If ∆TSR is similar to ∆TNM, what is the length of x? A 240 units B140 units C 120 units D 70 units 240 x 18p = x = x = 140

BoardAnswer 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 cm, 132 cm J cm, 220 cm

Board 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 cm, 132 cm J cm, 220 cm (35.2 cm, 44 cm)  2 = __________ 70.4, 88 (35.2 cm, 44 cm)  4 = __________ 140.8, 176 (35.2 cm, 44 cm)  3 = __________ 105.6, 132

BoardAnswer Proportions 400 To estimate the height of her school’s 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 Proportions 400 To estimate the height of her school’s 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? F 1 m G 5.9 m H 7.2 m J12.96 m 3.6 x 0.5x = x = 12.96

BoardAnswer 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 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 D19,800 ft x x = x = 13,200

BoardAnswer 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 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? A20 mi B 30 mi C 35 mi D 60 mi a 2 + b 2 = c b 2 = b 2 = b 2 = 3600 b = mi Distance = _____85 miDistance saved = _____20 mi

BoardAnswer Geometric Problem Solving 200 The total area of trapezoid FGHJ is 52 square inches. What is the approximate length of FJ?

Board 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. B8.5 in. C 11.0 in. D 11.5 in. a 2 + b 2 = c = c = c 2 3 in 8 in 73 = c = c

BoardAnswer Geometric Problem Solving 300 What is the area of the square in the figure below?

Board 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 D45 square units 3 in 6 in a 2 + b 2 = c = c = c = c 45 = c in Area of a square ______s2s2

BoardAnswer 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 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 G1,357 square feet H 4,071 square feet J 12,214 square feet

BoardAnswer 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. J5 in. Board 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?

Final Jeopardy Category Board

Final Jeopardy Question 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?

Board 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? A 80 units B100 units C 320 units D 500 units 6 24 How long is ST? _______ 30 How many times bigger is the larger triangle? _______ 5 The perimeter is how many times larger? _______ 5