2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the...
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Transcript of 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the...
![Page 1: 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the same size The measures of corresponding angles are equal,](https://reader035.fdocuments.net/reader035/viewer/2022071806/56649cf65503460f949c588b/html5/thumbnails/1.jpg)
2-8 Proportions and Similar Figures
![Page 2: 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the same size The measures of corresponding angles are equal,](https://reader035.fdocuments.net/reader035/viewer/2022071806/56649cf65503460f949c588b/html5/thumbnails/2.jpg)
Similar Figures: Have the same shape but not necessarily the same size
The measures of corresponding angles are equal, and corresponding side lengths are proportional
The order of the letters when you name the figures is so important because it tells you which parts of the figure are corresponding parts
![Page 3: 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the same size The measures of corresponding angles are equal,](https://reader035.fdocuments.net/reader035/viewer/2022071806/56649cf65503460f949c588b/html5/thumbnails/3.jpg)
ABC FGH
![Page 4: 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the same size The measures of corresponding angles are equal,](https://reader035.fdocuments.net/reader035/viewer/2022071806/56649cf65503460f949c588b/html5/thumbnails/4.jpg)
Problem 1: Finding the Length of a Side
![Page 5: 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the same size The measures of corresponding angles are equal,](https://reader035.fdocuments.net/reader035/viewer/2022071806/56649cf65503460f949c588b/html5/thumbnails/5.jpg)
![Page 6: 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the same size The measures of corresponding angles are equal,](https://reader035.fdocuments.net/reader035/viewer/2022071806/56649cf65503460f949c588b/html5/thumbnails/6.jpg)
Problem 2: Applying SimilarityThe sun’s rays strike the building and the girl at the same angle, forming two similar triangles shown. How tall is the building
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Scale drawing: a drawing that is similar to an actual object or place
(floor plans, blueprints, maps)
Scale: the ratio of any length on the drawing to the actual length
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Problem 3: Interpreting Scale Drawings
What is the actual distance from Jacksonville to Orlando?
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Scale Model: a three-dimensional model that is similar to a three-dimensional object
![Page 10: 2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the same size The measures of corresponding angles are equal,](https://reader035.fdocuments.net/reader035/viewer/2022071806/56649cf65503460f949c588b/html5/thumbnails/10.jpg)
Problem 4: Using Scale ModelsA giant model heart is shown below. The heart is the ideal size for a man who is 170 ft. tall. About what size would you expect the heart of the man who is 6 ft. tall to be?