Geometry/Notes 6.2
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This document discusses similar polygons and scale factors. It defines similar polygons as two polygons where corresponding angles are congruent and corresponding sides are proportional. Examples are provided to demonstrate calculating scale factors by dividing corresponding linear measures of a larger object by those of a smaller model. The homework assignments ask students to identify similar polygons, write similarity statements, and calculate unknown side lengths and scale factors.
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Geometry/Notes 6.2
- 2. SIMILAR POLYGONS • How can I identify a similar figure? • How can I solve problems using the scale factor?
- 3. SIMILAR POLYGONS • Similar Polygons – Two polygons are similar if and only if their corresponding angles are congruent and the measures of their corresponding sides are proportional.
- 4. EXAMPLES
- 5. EXAMPLES
- 6. SCALE FACTOR
- 7. An architect prepared a 12-inch model of a skyscraper to look like a real 1100-foot building. What is the scale factor of the model compared to the real building? Before finding the scale factor you must make sure that both measurements use the same unit of measure. 1100(12) 13,200 inches
- 8. A space shuttle is about 122 feet in length. The Science Club plans to make a model of the space shuttle with a length of 24 inches. What is the scale factor of the model compared to the real space shuttle?
- 9. The two polygons are similar. Write a similarity statement. Then find x, y, UV, and the scale factor.
- 10. HOMEWORK • Page 293 #11 – 20 #34 - 39