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7.2 Similar Polygons

7.2 Similar Polygons. Similar figures – have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~ . Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.

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7.2 Similar Polygons

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  1. 7.2 Similar Polygons • Similar figures – have the same shape but not necessarily the same size. • You can abbreviate is similar to with the symbol ~ . • Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.

  2. Scale Factor • When three or more ratios are equal, you can write an extended proportion. • A scale factor is the ratio of corresponding linear measurements of two similar figures.

  3. Understanding Similarity • Triangle MNP ~ Triangle SRT. • What are the pairs of congruent angles? • What is the extended proportion for the ratios of corresponding sides?

  4. Determining Similarity • To determine if figures are similar, you must make sure the corresponding sides are proportional. • You must be able to identify a scale factor and write a similarity statement.

  5. Use Similar Polygons • ABCD ~ EFGD. What is the value of x? • 4.5 • 5 • 7.2 • 11.25

  6. Scale • In a scale drawing, all lengths are proportional to their corresponding actual lengths. • The scale is the ratio that compares each length in the scale drawing to the actual length.

  7. More Practice!!!!! • Homework – Textbook p. 444 – 445 #9 – 20.

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