Main Idea/Vocabulary scale drawing scale model scale Solve problems involving scale drawings.

Example 1 MAPS Use the map to find the actual distance from Bingston to Alanton. Use an inch ruler to measure the map distance. The map distance is about 1.5 inches. Use a Scale Drawing

Example 1 Method 1 Write and solve a proportion. Use a Scale Drawing map actual map Find the cross products. Simplify. Method 2 Write and solve an equation.

Example 1 Use a Scale Drawing Words The actual distance is 5 miles per inch of map distance. Let a represent the actual distance in miles. Let m represent the map distance in inches. a = 5 ● m Variable Equation a = 5m a = 5(1.5) or 7.5 Write the equation. Replace m with 1.5 and multiply.

Example 1 Use a Scale Drawing Answer: The actual distance from Bingston to Alanton is 7.5 miles.

1.A 2.B 3.C 4.D Example 1 A.7.4 miles B.8.5 miles C.9.2 miles D.9.8 miles MAPS Use the map to find the actual distance from Springfield to Capital City. The map distance is about 1.4 inches.

Example 2 SCALE DRAWINGS A wall in a room is 15 feet long. On a scale drawing it is shown as 6 inches. What is the scale of the drawing? Write a ratio comparing the length of the drawing to the actual length of the room. Using x to represent the actual length of the room, write and solve a proportion to find the scale of the drawing. Find the Scale

Example 2 Find the Scale scale drawing length Length of roomScale Drawing scale drawing length actual length Find the cross products. Multiply. Then divide each side by 6. Simplify. Answer: So, the scale is 1 inch =

1.A 2.B 3.C 4.D Example 2 SCALE DRAWINGS The length of a garage is 24 feet. On a scale drawing the length of the garage is 10 inches. What is the scale of the drawing? A. B. C. D.

Example 3 Find the Scale Factor Answer:

1.A 2.B 3.C 4.D Example 3 A.1 : 22.5 B.1 : 25.6 C.1 : 28.8 D.1 : 30.5

Example 4 STATUE OF LIBERTY Auguste Bartholdi created several smaller models of the Statue of Liberty before creating the 152-foot statue that stands in New York Harbor. One such model was only 21 inches tall. What is the scale of this model to the final version? Use the scale to determine the length of the statue’s index finger on the model, which is 8 feet long on the actual statue. Construct a Scale Model

Example 4 Determine the scale of the model to the final version. The scale of the model to the actual statue is 1 inch  7.2 feet. Construct a Scale Model Find the cross products. Multiply. Then divide each side by 21. model height actual height Simplify.

Example 4 Use this scale to find the length of the statue’s index finger on the model. Answer: The finger in the model is about 1.1 inches long. Construct a Scale Model 1 ● 8 = 7.2 ● x Find the cross products. Multiply. Then divide each side by 7.2. model height actual height Simplify.

1.A 2.B 3.C 4.D Example 4 A.1 inch = 4.5 feet; about 0.67 inch B.1 inch = 4 feet; about 0.75 inch C.1 inch = 3.5 feet; about 0.84 inch D.1 inch = 3.3 feet; about 0.92 inch STATUE Marnie created a model of her town’s statue of Jebediah Springfield. Her model was 6 inches high. The actual statue is 27 feet tall. What is the scale of this model to the actual statue? Use the scale to determine the length of the statue’s mustache on the model, which is 3 feet long on the actual statue.

1.A 2.B 3.C 4.D Five Minute Check 1 A.24.4 feet B.33.3 feet C.50 feet D.66.6 feet At the same time a 4 foot fencepost casts a 6 foot shadow, a cellular tower casts a 50 foot shadow. How tall is the cellular tower to the nearest tenth? (over Lesson 4-9)

1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 4-9) A.12 feet B.24 feet C.36 feet D.48 feet If the man in the picture is 6 feet tall, how tall is the tree?

1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 4-9) A.80 centimeters B.100 centimeters C.110 centimeters D.120 centimeters A mother and daughter are standing next to each other. The mother is 160 centimeters tall and has a shadow that is 100 centimeters long. The daughter’s shadow is 50 centimeters long. How tall is the daughter?

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