Question

triangle def is similar to triangle abc.
complete the proportion to express the relationship between the corresponding sides.
$$ \frac { d e } { a b } = $$
show your work here

Explanation:

Step1: Recall the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal. In \(\triangle DEF\) and \(\triangle ABC\), \(DE\) corresponds to \(AB\), \(DF\) corresponds to \(AC\), and \(EF\) corresponds to \(BC\).

Step2: Write the proportion

Since \(\triangle DEF\sim\triangle ABC\), we have \(\frac{DE}{AB}=\frac{DF}{AC}=\frac{EF}{BC}\)

Answer:

\(\frac{DF}{AC}\)