Chapter 2.6, Problem 3PSA

To determine

To Prove : $\overline{DE}\cong \overline{GH}$

Explanation of Solution

Given information: $\overline{DF}\cong \overline{GJ}$

  $\because$ E is midpoint of $\overline{DF}$

  $\therefore \overline{DE}=\overline{EF}$

  $\because$ H is the midpoint of $\overline{GJ}$

  $\begin{array}{l}\therefore \overline{GH}=\overline{HJ}\\ \because \overline{DF}=\overline{GJ}\mathrm{....}(given)\\ \cancel{2}\overline{GH}\cong \cancel{2}\overline{HJ}\\ \overline{DE}\cong \overline{GH}\end{array}$