more fun with similar triangles

1. more fun with similar triangles Pamela Leutwyler

2. AB is parallel to CD B A D C

3.  ABC =  BCD AB is parallel to CD B A D C

4.  ABC =  BCD  AEB =  CED AB is parallel to CD B  ABC =  BCD A E D C

5.  ABC =  BCD AB is parallel to CD B  ABC =  BCD A  AEB =  CED E  BAE =  EDC D ABE is SIMILAR to CED C

6. AB is parallel to CD B  ABC =  BCD  ABC =  BCD A  AEB =  CED x E  BAE =  EDC X D ABE is SIMILAR to CED C

7. AB is parallel to CD B  ABC =  BCD  ABC =  BCD y A  AEB =  CED x E  BAE =  EDC X D Y ABE is SIMILAR to CED C

8. AB is parallel to CD B  ABC =  BCD  ABC =  BCD y A z  AEB =  CED x E  BAE =  EDC X Z D Y ABE is SIMILAR to CED C

9. AB is parallel to CD B  ABC =  BCD  ABC =  BCD y A z  AEB =  CED x E  BAE =  EDC X Z D Y = = C

10. example 1

11. these lines are parallel

13. 10 feet 9 feet 7 feet x y 3 feet

14. 10 feet 9 feet 7 feet x y 3 feet

15. 10 feet 9 feet 7 feet x y 3 feet

16. 10 feet 9 feet 7 feet x y 3 feet

17. 10 feet 9 feet 7 feet x y = 2.7 3 feet = y = 2.7 feet

18. 10 feet 9 feet 7 feet x= 2.1 y = 2.7 3 feet = x = 2.1

19. 10 feet 9 feet 7 feet x= 2.1 y = 2.7 3 feet

22. these lines are parallel

23. these lines are parallel these angles have equal measure

24. these lines are parallel these angles have equal measure these angles have equal measure

25. these lines are parallel these angles have equal measure these angles have equal measure these triangles are similar

26. Q P R = = q p these lines are parallel these angles have equal measure these angles have equal measure r these triangles are similar

27. example 2

28. BE is parallel to CD CD = 12 feet BE = 9 feet AD = 20 feet AE = ? C B D A E

29. BE is parallel to CD CD = 12 feet BE = 9 feet AD = 20 feet AE = 15 feet = C B D A E x = 15