1 / 19

Yes: ABCD ~ FEHG

Yes: ABCD ~ FEHG. No. PQ = 12. m Q = 30. Chapter 6 Similarity. Section 6.3 Similar Polygons. Definition Similar Polygons. B  Q, A  P, C  R, D  S. Trapezoid ABCD ~ Trapezoid PQRS. Corresponding components must line up in the similarity statement. S  C T  D U  E.

baakir
Download Presentation

Yes: ABCD ~ FEHG

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Yes: ABCD ~ FEHG No PQ = 12 mQ = 30

  2. Chapter 6Similarity Section 6.3 Similar Polygons

  3. Definition Similar Polygons B  Q, A  P, C  R, D  S Trapezoid ABCD ~ Trapezoid PQRS

  4. Corresponding components must line up in the similarity statement S  C T  D U  E

  5. Corresponding components must line up in the similarity statement L  G M  H N  I

  6. Corresponding components must line up in the similarity statement Q  A R  B S  C T  D

  7. Definition:Scale Factor The ratio of any two corresponding sides of similar polygons. Scale Factor Scale Factor

  8. Solution 1. Find the Scale Factor Scale Factor: 2. Find the ratio of XY and BE Ratio of CD and XY 3. Set up a proportion and solve for XY Proportion 2(XY) = 9

  9. 3 D  Y m Y + m X = 180 Consecutive Interior Angle Theorem m Y + 117 = 180 m Y = 63 m D = 63

  10. p = 6 + + 9 + 3 p = XW + WZ + YZ + XY Need to find YZ 9 p = 24 2(YZ) = 18 YZ = 9

  11. 3 Ratio of the perimeters = scale factor 9

  12. Assume the angles are congruent

  13. Assume the angles are congruent

  14. x x + x + 42 = 180 2x + 42 = 180 2x = 138 x = 69 8y = 100

  15. 72 x = 72 y = 11

  16. Ratio of the perimeters = scale factor Fill in what you know and solve 8x =480 x = 60 The perimeter of ABC = 60 inches State your answer

  17. B C F G E H D A Ratio of the perimeters = scale factor 18 Find FG 4(FG) = 18 18 4½ 4½

  18. B C F G E H D A EF = GH and FG = EH p = EF + FG + GH + EH p = EF + FG + EF + FG p = 2(EF) + 2(FG) 15 = 2(EF) + 2(4½) 15 = 2(EF) + 9 6 = 2(EF) 3 = EF 18 18 4½ 3 3 4½

  19. HW #Pg

More Related