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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
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.
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?
Ratios, Proportions, AND Similar Figures
Section 8.3 Similar Polygons
Congruence and Similarity
6.4 Similar and Congruent Figures Similar Figures - t wo figures that have the same shape but not necessarily the same size We use this symbol to show.
Similar figures have the same shape, but not necessarily the same size. (((add to vocabulary section of your notebook)))
Section 8-2 Similar Polygons SPI 31A: identify corresponding parts of congruent geometric figures SPI 32C: determine congruence or relations between triangles.
Similar Figures 4-3 Problem of the Day A rectangle that is 10 in. wide and 8 in. long is the same shape as one that is 8 in. wide and x in. long. What.
CN #4 Ratios in Similar Polygons
Comparing Ratios of Perimeters and Areas Of Similar Figures.
Chapter ratios in similar polygons. Objectives Identify similar polygons. Apply properties of similar polygons to solve problems.
11-5 Areas of Similar Figures You used scale factors and proportions to solve problems involving the perimeters of similar figures. Find areas of similar.
7-2 Similar Polygons.
Class Opener: If you have a vision problem, a magnification system can help you read. You choose a level of magnification. Then you place an image under.
7.2 Similar Polygons Similar figures – have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~ . Two.
Chapter 7 Vocab Review. 1. Write the generic formula (proportion) for geometric mean (x) of two positive numbers a & b.
7-2 Similar Polygons Objective To identify and apply similar polygons.
6.3 – Use Similar Polygons Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. In.
Chapter 7.2 Similar Polygons. Vocabulary Similar – Two polygons are similar if – 1) Corresponding angles are congruent – 2) Corresponding sides are proportional.
“P. Sherman, 42 Wallaby Way, Sydney!”. 7.2 Similar Polygons.
Geometry 6.3 Big Idea: Use Similar Polygons
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