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Chapter 7.2 Similar Polygons

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Vocabulary Similar – Two polygons are similar if – 1) Corresponding angles are congruent – 2) Corresponding sides are proportional stands for similar

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Vocabulary Similarity ratio – the ratio of the lengths of corresponding sides of similar figures Example: A BC D EF

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Vocabulary Golden rectangle – rectangle that can be divided into a square and a rectangle that is similar to the original rectangle AB CD F E ABCD is a rectangle ADFE is a square

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Vocabulary Golden ratio – the ratio of the length of a golden rectangle to its width. The value of the golden ratio is or about 1.62

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Determining Similarity Determine whether the triangles are similar. If they are, write a similarity statement and give the similarity ratio Given: Corresponding angles congruent Are the corresponding sides proportional? A B C D E F 18 12 15 24 16 20

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Answer with similarity ratio of or 3:4

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ABCD~EFGH complete each statement A BC D E FG H 53 127

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LMNO~QRST Find the value of x O N LM T S QR 2 5 X 6

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Classwork/Homework Pgs 375-376 1-16, 21-28

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