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7.2 – Similar Polygons

7.2 – Similar Polygons. LEQ: What are the properties of Similar Polygons? – Similar Polygons: Two polygons are similar if their vertices can be paired so that: 1. Corresponding angles are congruent. 2. Corresponding sides are proportional. Symbol for Similar: ~. 7.2 – Similar Polygons.

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7.2 – Similar Polygons

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  1. 7.2 – Similar Polygons LEQ: What are the properties of Similar Polygons? – Similar Polygons: Two polygons are similar if their vertices can be paired so that: 1. Corresponding angles are congruent. 2. Corresponding sides are proportional. Symbol for Similar: ~

  2. 7.2 – Similar Polygons S Example 1: Y Z X T R W V Pent. TSRQP ~ Pent. ZYXWV P Q Therefore – 1. ÐP @Ð____; ÐT @Ð____; ÐS @Ð____; ÐR @Ð____; ÐQ @Ð____ 2.

  3. 7.2 – Similar Polygons When two polygons are similar, then the ratio of the lengths of two corresponding sides is called the similarity ratio. Y H 4 7 12 21 R P 6 O G 18

  4. 7.2 – Similar Polygons J A Example 2: 7 6 21 18 K L 4 C B 12 Are these similar? If so, write a similarity statement and give the similarity ratio. ORDER MATTERS!

  5. 7.2 – Similar Polygons G 30 Example 3: H C 20 D y 10 z 8 B A E F x 21 ABCD EFGH Quad. ______ ~ Quad. ______ 1. If mÐD = 92, then mÐH = ____. 2. If mÐC = 60, then mÐG = ____.

  6. Example 4 – Find the missing side lengths and angle measures. A 15 C 23° 5 122° x D B 6 y E DABC ~ DFDE F 9 M<A=m<F=35, m<D=122, m<E=23 x=10, y=3

  7. Closure: Answer the following: a. DIKJ ~ What is the similarity ratio? 9/24=3/8 c. Find x. 32=x d. Find y. Y=10 J DHLJ 9 6 12 K I 15 y x H L 9 24 6 6 + y 12 x

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