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

$\frac{Qr}{QS}=\frac{QS}{QR}=\frac{Sr}{SR}$

and

$\frac{rS}{QR}=\frac{SR}{QR}=\frac{rR}{SR}$

13) From the figure, we can see that

$\frac{x}{20}=\frac{20}{12}$

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

$\frac{XW}{ZW}=\frac{WZ}{YZ}$

17)

$\frac{QT}{SQ}=\frac{SQ}{QR}$

18)

$\frac{EH}{EG}=\frac{EG}{EF}$