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Chapter 7: Proportions and Similarity
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7.1- Proportions Make a Frayer foldable 7.1 Ratio and Proportion
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Ratio A comparison of two quantities using division
3 ways to write a ratio: a to b a : b Ex: There are 480 sophomores and 520 juniors in a high school. Find the ratio of juniors to sophomores. Then find the ratio of sophomores to students.
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Proportion An equation stating that two ratios are equal
Example: Cross products: means and extremes a and d = extremes b and c = means ad = bc
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Your Turn: solve these examples
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Your Turn: solve this example
The ratios of the measures of three angles of a triangle are 5:7:8. Find the angle measures. A strip of wood molding that is 33 inches long is cut into two pieces whose lengths are in the ratio of 7:4. What are the lengths of the two pieces?
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