Use scales to find missing parts: maps blueprints models

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Presentation transcript:

Use scales to find missing parts: maps blueprints models Scale Drawings Use scales to find missing parts: maps blueprints models

Warm-Up Use the similar parallelograms below. Find their scale factor. Find the ratio of their perimeters. Find the ratio of their areas. Two similar figures have a perimeter of 4 m and 28 m. Find the ratio of their areas. Two similar figures have a scale factor of 2 : 5. If the larger figure has a perimeter of 40 ft, what is the area of the smaller figure? 15 yd 24 yd

Use the SCALE FACTOR !!! Scale Factor is 2 : 3 Start your proportion with :

Example 1a Alan’s map has a scale of 2 inches : 5 miles. The distance on the map from Mt. Hood Meadows to Alan’s home is 16 inches. What is the actual distance? Write a proportion. Use cross products to solve. 2x = 80 x = 40 The actual distance is 40 miles.

Example 1b Alan’s map has a scale of 2 inches : 5 miles. The actual distance from Alan’s home to Portland is 25 miles. Find the distance on the map. Write a proportion. Use cross products to solve. 5x = 50 x = 10 The distance to Portland on the map is 10 inches.

Example 2 A model car is made with a scale factor of 1 inch: 11 inches The actual car is 7 feet 4 inches long. How long is the model car? Convert 7 feet 4 inches to inches to 7 ft 4 in = 7·12 + 4 match the scale factor: = 84 + 4 = 88 in Write a proportion Use cross products to solve. 11x = 88 x = 8 The model car is 8 inches long.

8 in 1 ft 2 in A map has a scale of 2 inches : 5 miles. Use the given distance on a map to find the actual distance. 8 in 1 ft 2 in A model car has a scale of 1 : 24 If the model is 4 inches long, how long is the actual car in inches? How long in feet?

Communication Prompt When have you or a member of your family used a scale drawing? What information did it help you figure out?

Lesson 11 Proportionality Scale Drawings