1 / 15

8.6 Proportions and Similar Triangles

8.6 Proportions and Similar Triangles. Triangle Proportionality Theorem. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. If TU ll QS, then . R. U. T. >. S. >. Q. Given AB ll ED, find EA. C.

ikia
Download Presentation

8.6 Proportions and Similar Triangles

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. 8.6 Proportions and Similar Triangles

  2. Triangle Proportionality Theorem • If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. If TU ll QS, then R U T > S > Q

  3. Given AB ll ED, find EA C 8 12 D E > 4 A > B 8 EA = 4(12) 8 EA = 48 EA = 6

  4. Converse of the Triangle Proportionality Theorem

  5. Determining Parallels • Given the diagram, determine whether MN || GH. G 21 M 56 16 L 48 N H

  6. Proportionality Theorem • If three parallel lines intersect two transversals, then they divide the transversals proportionally. UW=VX WY XZ U W Y Z X V

  7. Using Proportionality Theorems

  8. Theorem 8.7 • If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides. If CD bisects <ACB, Then AD=CA DB CB A D B C

  9. Using Proportionality Theorems

  10. Given CD=14, find DB. A 9 15 15 DB = 9(14) 15 DB = 126 DB = 8.4 B C D

  11. Solve 20 f 10 8

  12. Solve. 10 9 8 s

  13. x 12 20 22

  14. Find the value of JN. J N 18 L 16 M 3 K

  15. Find the value of the variable. 33 q 11 9

More Related