Question

2.) prove triangles abc and def are similar. given: ab/de = bc/ef = ac/df

Explanation:

Step1: Recall the SSS similarity criterion

If the ratios of the corresponding sides of two triangles are equal, then the two triangles are similar.
Given that \(\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}\)

Answer:

By the Side - Side - Side (SSS) similarity criterion, since \(\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}\), triangles \(ABC\) and \(DEF\) are similar.