2-8 Proportions and Similar Figures. Similar Figures: Have the same shape but not necessarily the...

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2-8 Proportions and Similar Figures

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,

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,

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,

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,

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,
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,

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

Page 7: 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,

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

Page 8: 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,

Problem 3: Interpreting Scale Drawings

What is the actual distance from Jacksonville to Orlando?

Page 9: 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,

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,

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?