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Published bySydney Jefferson Modified over 6 years ago

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Similar Polygons Learning Target: I can use ratios and proportions to determine if two polygons are similar and to find unknown side lengths.

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Properties of Similarity Two polygons are similar if 1. corresponding angles are congruent 2. corresponding sides are proportional The symbol for similarity is ~

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ABCD~EFGH. 1. m<E=____ 2. AB = AD EF __ Are corresponding angles ≅ ? Are corresponding sides proportional? B A C D F E G H 53 127 m<A EH yes

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Similar Ratio - the ratio of the lengths of corresponding sides A B C D E F 15 18 12 20 16 24 Are the corresponding sides proportional? AB/FE=15/20=.75 BC/ED=12/16=.75 AC/FD=18/24=.75 yes

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The polygons are similar. Find the value of the variables. 1. 2. 3. 4. 6 5 x 3.3 5 3 8 x x 10 1.5 4 x 15 6 9 x=2.75 x=4.8 x=3.75 x=10

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10 B A C 14 12 Are the polygons similar? If they are, write a similarity statement, and give the similarity ratio. 6 5 7 X Z Y AB/XY=10/5=2 AC/XZ=12/6=2 BC/YZ=14/7=2 Triangle ABC~XYZ with similarity ratio 2:1

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