Proportion/side splitter theorem

Proportion/side splitter theorem

1. resources

   • https://www.youtube.com/watch?v=6C2xHEGRTyI
   • http://mathbitsnotebook.com/Geometry/Similarity/SMSplitter.html

2. practice problems

   • 2. 40
   • 3. 45
   • 4. 3
   • 6. 10
   • 7. 10
   • 8. 42
   • 18. 11
   • 17. Don't understand
   • 16. 12
   • 14. 9
   • 13. 42
   • 12. 8
   • 15. 15
   • 5. 5
   • 9. 12
   • 11. 2.4
   • 10. 14
   • 1. 6

3. notes

   • definition
     • if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally
   • how to do
     • first you divide the two parallel lines but it looks like blank over blank equals blank over blank.
       • then you cross multiply and solve
         • example 2/4=x/7, 4x=(2)*(7), 4x=14, x=3.5
   • formula
     • Triangle ABC; line DE Parallel to Line AB
       • CD/DA=CE/EB
     • Triangle ABC; line DE; CD/DA = CE/EB
       • Line DE parallel to Line AB

4. proportion (odd number)

   • 1. no
   • 3.yes
   • 5. no
   • 7. 5
   • 13. 2.66
   • 9. 2.59
   • 11. 4.5
   • 15. 52
   • 19. 4.5
   • 21. 60
   • 17. 2.4