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Published byAmelia Sparks Modified over 3 years ago

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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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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.

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**Understanding Similarity**

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

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**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.

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

11.25

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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.

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

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