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2.8 Proportions and Similar Figures

2.8 Proportions and Similar Figures. I can find missing lengths in similar figures and use similar figures when measuring indirectly. Similar Figures. Same shape, but not necessarily same size You can use proportions to find missing side lengths of similar figures.

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2.8 Proportions and Similar Figures

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  1. 2.8 Proportions and Similar Figures I can find missing lengths in similar figures and use similar figures when measuring indirectly.

  2. Similar Figures • Same shape, but not necessarily same size • You can use proportions to find missing side lengths of similar figures. • The symbol ∼ means “is similar to”

  3. Example • ∆ABC ∼ ∆FGH • This means the triangles are similar. • In similar figures, corresponding angles are equal, and corresponding side lengths are proportional. • The order of the letters when making similar figures is important

  4. Practice • If ∆ABC ∼ ∆DEF, what is the length of side DE? • Set up a proportion • Cross product • 10(12) = 16(DE) • 7.5 = DE

  5. You Try! • Using the same figure, find AC

  6. Indirect Measurement • Use proportions to find measurement that you cannot find by measuring directly. • Create a proportion • x=25 feet

  7. You try! • Notice the map’s scale

  8. Assignment • ODDS ONLY • P.134 #9-17, 23-31

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