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Published byRosalyn Hancock Modified over 3 years ago

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Objectives To identify similar polygons. To apply similar polygons.

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Vocabulary Similar Similarity Ratio Golden Rectangle Golden Ratio

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Similar Figures Similar figures are figures that have the same shape, but not necessarily the same size.

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Similar Polygons Two polygons are similar if: Corresponding angles are congruent. Corresponding sides are proportional.

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Similarity Ratio The ratio of the lengths of corresponding sides is the similarity ratio.

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Understanding Similarity ABCD ~ EFGH

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Determining Similarity Determine whether the triangles are similar. If they are, write a similarity statement and give the similarity ratio.

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Using Similar Figures LMNO ~ QRST Find the value of x.

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Golden Rectangle A golden rectangle is a rectangle that can be divided into a square and a rectangle that is similar to the original rectangle.

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Golden Ratio In any golden rectangle, the length and the width are in the golden ratio, which is about 1.618…..:1

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Golden Ratio in Art The Mona Lisa is one piece of art work that contains the golden ratio.

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Example: Art 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?

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