Question

find the scale factor then list all the pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality

Answer 1

The scale factor k is given by:

`k=(EF)/(AB)=(42)/(35)=(6)/(5)`

Therefore, we can conclude:

`(EF)/(AB)=(DF)/(AC)=(DE)/(CB)`

And the congruent angles are:

`\begin{gathered} m\angle C\cong m\angle D \\ m\angle A\cong m\angle F \\ m\angle B\cong m\angle E \end{gathered}`