Chapter 4.4, Problem 7PPS

To determine

To prove:

  $\Delta ABC\cong \Delta EDC$ by two-column.

Explanation of Solution

Given Information:

  $\overline{AB}\cong \overline{ED}$ .

  $\angle ABCand\angle EDC$ are right angles.

  $C$ is midpoint of $\overline{BD}$ .

  

Proof:

The two-column proof can be given as:

Proof	Reason
$\overline{AB}\cong \overline{ED}$.   $\angle ABCand\angle EDC$ are right angles.   $C$ is midpoint of $\overline{BD}$.	Given.
$\angle ABC\cong \angle EDC$	All the right angles are congruent.
$\overline{BC}\cong \overline{DC}$	Midpoint theorem.
$\Delta ABC\cong \Delta EDC$	SAS − Side, Angle, Side.