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Name Date Period Homework Geometry & Probability Unit B Lesson 9 – Scale Drawings A scale drawing represents something that is too large or too small to be drawn or built at actual size. Similarly, a scale model can be used to represent something that is too large or built too small for an actual-size model. The scale gives the relationship between the drawing/model measure and the actual measure. Example On this map, each grid unit represents 50 yards. Find the horizontal distance from Patrick’s Point to Agate Beach. Patrick’s Point Scale to Agate Beach ← map ← actual → actual → map 1 • x = 50 • 8 x = 400 It is 400 yards from Patrick’s Point to Agate Beach. Cross products Simplify. Exercises Find the actual distance between each pair of cities. SHOW YOUR WORK. Round to the nearest tenth if necessary. Map Distance Scale Cities Actual Distance 1. Los Angeles and San Diego, CA 6.35 cm 1 cm = 20 mi 16.27 cm 2 cm = 15 mi 11.73 cm 1/2 cm = 20 mi 2. Des Moines and Cedar Rapids, IA 3. Miami and Jacksonville, FL Find the length of each object on the scale drawing with the given scale. Then find the scale factor. 4. an automobile 16 feet long; 1 inch:6 inches ____________________ __________________ 5. a pond 85 feet across; 1 inch = 4 feet ____________________ __________________ 6. a flag 5 feet wide; 2 inches = 1 foot ____________________ __________________ Homework Unit B Lesson 9 page 2 Additional Practice Use the diagram of a section of the art museum shown. Use a ruler to measure. 1. What is the actual length of the Impressionism Art room? 2. Find the actual dimensions of the Baroque Art room. 3. Find the scale factor for this blueprint. _________ Find the length of each model. Then find the scale factor. 4. 5. 6. 7. SKYSCRAPER A model of a skyscraper is made using a scale of 1 inch:75 feet. What is the height of the actual building if the height of the model is 19 inches? 8. GEOGRAPHY Salem and Eugene, Oregon, are 64 miles apart. If the distance on the map is scale of the map. inches, find the 9. PYRAMIDS The length of a side of the Great Pyramid of Khufu at Giza, Egypt, is 751 feet. If you were to make a model of the pyramid to display on your desk, which would be an appropriate scale: 1 in. = 10 ft or 1 ft = 500 ft? Explain your reasoning.