Question

△abc is similar to △def. which side of △def corresponds to $overline{ac}$?
○ $overline{ef}$
○ $overline{df}$
○ $overline{de}$

Explanation:

Step1: Recall similar - triangle property

In similar triangles, corresponding angles are equal and corresponding sides are in proportion. The order of the vertices in the triangle names indicates the correspondence.

Step2: Identify corresponding sides

Since \(\triangle ABC\sim\triangle DEF\), \(A\) corresponds to \(D\), \(B\) corresponds to \(E\), and \(C\) corresponds to \(F\). So, side \(\overline{AC}\) corresponds to side \(\overline{DF}\).

Answer:

B. \(\overline{DF}\)