Chapter 12.5, Problem 38E

To determine

To show: which segment in $△ABC$ is congruent to $\overline{EF}.$

Answer to Problem 38E

  $\overline{BC}$ is congruent to $\overline{EF}.$

Explanation of Solution

Given information:

  

Formula used:

Two geometric figures are congruent if and only is a rigid motion or a composition of rigid motions maps one of the figures onto each other.

A rigid motion maps each part of a figure to a corresponding part of its image.

Calculation:

Consider the triangles given in the question,

  $△ABC$ is an mirror image of $△DEF.$

Therefore,

Corresponding sides are - $\overline{DE}\cong \overline{AB},\overline{EF}\cong \overline{BC},\overline{DF}\cong \overline{AC.}$

Hence, $\overline{BC}$ is congruent to $\overline{EF}.$