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7.2 Similar Polygons

Similarity Similar Polygons: Polygons having corresponding angles congruent and corresponding sides proportional (denoted “~”). Similarity Ratio: The ratio of the lengths of corresponding sides in similar polygons. A BC D E FG H ABCD ~ EFGH 72° 3in 6in 5in

Similarity Given LONM ~ QTSR below, find the value of x.

Similarity Determine whether the triangles are similar. If they are, write a similarity statement and give the similarity ratio ° 67° A B C ° 35° D E F

Golden Ratio Golden Rectangle: A rectangle that can be divided into a square and a rectangle that is similar to the original rectangle. The Golden Ratio is ≈ An artist plans to paint a picture. He wants the canvas to be a golden rectangle with its longer horizontal sides 30cm wide. How high should the canvas be?

“Onions have layers.”

7.2 Similar Polygons HW (7.2) Pg. 375, #2-12 even, e, e, e