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:

$k=\frac{EF}{AB}=\frac{42}{35}=\frac{6}{5}$

Therefore, we can conclude:

$\frac{EF}{AB}=\frac{DF}{AC}=\frac{DE}{CB}$

And the congruent angles are:

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