Geometry Notes – Lesson 7.2 Name __________________________________ Similar: Same _________________ : Different _______________ Similar Polygons: Polygons having corresponding angles_____________________ and corresponding sides _________________________. Symbol __________. To find the SIMILARITY RATIO take one side and divide it by its corresponding side. Are the polygons similar? If they are, write a similarity statement, and find the similarity ratio. The polygons are similar. Find the values of the variables. Examples: 1. A painting is 24 in. wide by 36 in. long. The length of a postcard reduction of the painting is 6 in. How wide is the postcard? 2. A map has dimensions 9 in. by 15 in. You want to reduce the map so that it will fit on a 4 in. by 6 in. index card. What are the dimensions of the largest possible complete map that you can fit on the index card? Golden Ratio: A Rectangle that can be divided into a _______________ and a _________________ that is similar to the original rectangle. Golden Ratio __________ : ___________ (length) (width) Example An Artist plans to paint a picture. He wants the canvas to be a golden rectangle with its longer horizontal sides 30 cm wide. How high should the canvas be? A golden rectangle has shorter sides of length 20 cm. Find the length of the longer sides.