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Chapter 7: Similarity

Chapter 7: Similarity. 7.2 Similar Polygons. Similarity. Two figures that have the same shape but not necessarily the same size are similar. Two polygons are similar if: (1) corresponding angles are congruent (2) corresponding sides are proportional similarity ratio

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Chapter 7: Similarity

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  1. Chapter 7: Similarity 7.2 Similar Polygons

  2. Similarity • Two figures that have the same shape but not necessarily the same size are similar. • Two polygons are similar if: • (1) corresponding angles are congruent • (2) corresponding sides are proportional • similarity ratio • ratio of the lengths of corresponding sides

  3. Example 1 • ABCD ~ EFGH. Complete the statements:

  4. Example 2 • Determine whether the triangles are similar. If they are, write the similarity statement and give the similarity ratio.

  5. Example 3 • LMNO ~ QRST. Find the value of x.

  6. Golden Ratio • golden rectangle: • a rectangle that can be divided into a square and a rectangle that is similar to the original rectangle • golden ratio: • approximately equal to 1.618:1 • considered pleasing to the human eye • Leonardo DaVinci

  7. Golden Rectangle

  8. Golden Ratio • INSERT PICTURE!!!!

  9. Example 5 • 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?

  10. Homework • p. 369: 35-42 • p. 375: 13-18, 32, 33

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