Yes, there is enough information to determine that ΔDEF has been dilated to ΔDUV because the ratio of the corresponding sides is equal, and all the dimensions required to determine the scale factor are present.
To calculate the scale factor, find the ratio of any corresponding sides
That is,
![\begin{gathered} If\text{ }\Delta DEF\text{ \textasciitilde}\Delta\text{DUV} \\ \text{Then,} \\ (DE)/(DU)=(EF)/(UV)=(DF)/(DV) \\ ((77+14))/(14)=(117)/(18)=(52)/((52-44)) \\ (91)/(14)=(117)/(18)=(52)/(8) \\ =(13)/(2) \end{gathered}]()
Therefore, the scale factor is 13/2
Answer is Option E.