Answer
Proof 1:
$\overline{DC}$$\parallel$$\overline{AB}$ is given in question.
Proof 2:
$\angle$DCA is identical to $\angle$BAC because they are alternate interior angles
Proof 3:
$\overline{AD}$$\parallel$$\overline{BC}$ is given
Proof 4:
$\angle$DAC is identical to $\angle$BCA because if two $\parallel$ lines are cut by a transversal, alternate interior angles are identical.
Proof 5:
$\overline{AC}$ is identical to $\overline{AC}$ is identity
Proof 6:
$\triangle$ABC is identical to $\triangle$CDA because of ASA
Work Step by Step
Given:
$\overline{DC}$$\parallel$$\overline{AB}$ and $\overline{AD}$$\parallel$$\overline{BC}$
To prove:
$\triangle$ABC is identical to $\triangle$CDA
