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Page 1: 4.5 Similar Figures

4.5 Similar FiguresI can use proportions to find missing

lengths in similar figures.

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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”

Similar Figures

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∆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

Example

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If ∆ABC ∼ ∆DEF, what is the length of side DE?

Set up a proportion

Cross product 10(12) = 16(DE) 7.5 = DE

Practice

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Using the same figure, find AC

You Try!

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Use proportions to find measurement that you cannot find by measuring directly.

Create a proportion

x=25 feet

Indirect Measurement

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ODDS ONLY P.153 #7-19

Assignment