Question

Help!! this assignment is due tonight! similar triangles: 11. Sketch the 3 similar triangles in the diagram. Label the vertices. 12. Write similarity statements for the 3 triangles. (picture for this problem includes Q, T, R, S)Using proportions: 13. x/20 = ?/12 Completing proportions: 16. XW/ZW = ?/YW17. QT/SQ = SQ/? 18. ?/EG = EG/EF

Answer 1

11) We have the following triangle

they can be splitted as

they are similar triangles

12) The similarity statements are

`(Qr)/(QS)=(QS)/(QR)=(Sr)/(SR)`

and

`(rS)/(QR)=(SR)/(QR)=(rR)/(SR)`

13) From the figure, we can see that

`(x)/(20)=(20)/(12)`

16) From the above similarity conditions, we can see that

`(XW)/(ZW)=(WZ)/(YZ)`

17)

`(QT)/(SQ)=(SQ)/(QR)`

18)

`(EH)/(EG)=(EG)/(EF)`