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Section 8 – 2 Similar Polygons

Section 8 – 2 Similar Polygons. Objectives: To identify similar polygons To apply similar polygons. Similar Polygons :. Two polygons whose corresponding angles are congruent and corresponding sides are proportional. Similarity Ratio :. The ratio of the lengths of the corresponding sides.

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Section 8 – 2 Similar Polygons

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  1. Section 8 – 2Similar Polygons Objectives: To identify similar polygons To apply similar polygons

  2. Similar Polygons: Two polygons whose corresponding angles are congruent and corresponding sides are proportional. Similarity Ratio: The ratio of the lengths of the corresponding sides.

  3. Example 1 Understanding Similarity ABCD ~ EFGH. Complete each statement. E = B =

  4. Example 2 Determining Similarity A) Determine whether the triangles are similar. If they are, write the similarity statement and give the similarity ratio.

  5. Sketch ∆XYZ and ∆MNP with ∠X ≅∠M, ∠Y≅∠N, and ∠Z≅∠P. Also, XY = 12, YZ = 14, ZX = 16, MN = 18, NP =21, and PM = 24. Can you conclude that the two triangles are similar? Explain.

  6. C) Determine whether the parallelograms are similar? Explain.

  7. Example 3 Using Similar Figures A) LMNO ~ QRST. Find the value of x. B) LMNO ~ QRST. Find SR to the nearest tenth.

  8. C) If ∆ABC ~ ∆YXZ, find the value of x.

  9. Homework:8 – 2 Ditto

  10. Section 8 – 2Continued… Objectives: To apply similar polygons

  11. Example 4 Real-World Connection A) A map has the dimensions 12 in. tall by 16 in. wide. You want to reduce the map to fit on a 4 in. by 6 in. notecard. What are the dimensions of the largest possible complete map that you can fit on the index card?

  12. B) You want to enlarge a 3 in. by 5 in. photo. If you have photo paper that is 12 in. by 16 in., what are the dimensions of the largest complete enlargement you can make?

  13. C) A painting is 24 in. wide and 36 in. long. The length of a postcard reduction of the painting is 6 inches. How wide is the postcard?

  14. Homework:Textbook Page 425 – 426; #2 – 18 Even

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