Question

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Explanation:

Step1: Match opposite parallelogram angles

$\angle BAE \cong \angle DCF$

Step2: Match alternate interior angles

$\angle BEA \cong \angle FDE$

Step3: Match corresponding angles

$\angle DFC \cong \angle EBF$

Step4: Substitute congruent angles

$\angle BEA \cong \angle DFC$

Step5: Identify triangle congruence postulate

Angle Side Angle (ASA)

Answer:

Statement	Reason
$\angle BAE \cong \boldsymbol{\angle DCF}$	Opposite angles of parallelograms are congruent.
$\angle BEA \cong \boldsymbol{\angle FDE}$	Alternate interior angles are congruent.
$\angle DFC \cong \boldsymbol{\angle EBF}$	Corresponding angles are congruent.
$\boldsymbol{\angle BEA \cong \angle DFC}$	Substitution
$\overline{AB} \cong \overline{CD}$	Definition of a parallelogram
$\triangle ABE \cong \triangle CDF$	$\boldsymbol{Angle Side Angle}$ Postulate