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“P. Sherman, 42 Wallaby Way, Sydney!”. 7.2 Similar Polygons.

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Presentation on theme: "“P. Sherman, 42 Wallaby Way, Sydney!”. 7.2 Similar Polygons."— Presentation transcript:

1 “P. Sherman, 42 Wallaby Way, Sydney!”

2 7.2 Similar Polygons

3 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

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

5 Similarity Determine whether the triangles are similar. If they are, write a similarity statement and give the similarity ratio. 15 18 12 78° 67° A B C 16 24 20 78° 35° D E F

6 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 ≈ 1.618 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?

7 “Onions have layers.”

8 7.2 Similar Polygons HW (7.2) Pg. 375, #2-12 even, 14-16 e, 22-28 e, 32-34 e


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