Objectives To identify similar polygons. To apply similar polygons.

Chapter 7: Similarity

Section 7-2:Similar Polygons

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Objectives

To identify similar polygons.

To apply similar polygons.



















Vocabulary

Similar

Similarity Ratio

Golden Rectangle

Golden Ratio



















Similar Figures

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



















Similar Polygons

Two polygons are similar if:Corresponding angles are congruent.

Corresponding sides are proportional.



















Similarity Ratio

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



















Understanding Similarity

ABCD ~ EFGH

________m E

?

AB AD

EF



















Determining Similarity

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



















Using Similar Figures

LMNO ~ QRST

Find the value of x.



















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.



















Golden Ratio

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



















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?



















Objectives To identify similar polygons. To apply similar polygons.

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Transcript of Objectives To identify similar polygons. To apply similar polygons.