Which side of triangle DEF corresponds to side BC of triangle ABC? Not drawn accurately

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Question

Which side of triangle DEF corresponds to side BC of triangle ABC? Not drawn accurately

Answer 1

Side \(EF\) of triangle DEF corresponds to side \(BC\) of triangle ABC.

Answer 2

## Step 1: Identification of corresponding sides in similar triangles<br />In similar triangles, the order of letters when naming the triangle often reflects the correspondence between angles and subsequently, the sides. In other words, in Triangle ABC and Triangle DEF, Angle \(A\) is corresponding to angle \(D\) , Angle \(B\) is corresponding to Angle \(E\) , and similarly Angle \(C\) corresponds to Angle \(F\). Stating this relationship inversely, \(D\) corresponds to \(A\), \(E\) corresponds to \(B\), and \(F\) corresponds to \(C\) respectively. Therefore, when we talk about sides, side \(BC\) in Triangle ABC, which is located between angles \(B\) and \(C\), would correspond to the side for Triangle DEF that is located between the angles that \(B\) and \(C\) correspond in Triangle DEF. <br /><br />## Step 2: Determining the corresponding side <br />According to step 1, Angle \(B\) corresponds to angle "E", and Angle \(C\) corresponds to Angle \(F\). When we locate a side in triangle DEF which forms between angle \(E\) and \(F\), it is the side \(EF\).

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Which side of triangle DEF corresponds to side BC of triangle ABC? Not drawn accurately

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