Answer:
Step-by-step explanation:
1) [tex]\overline{AC}[/tex] bisects [tex]\overline{BD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex] (given)
2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)
3) [tex]\angle BCE \cong \angle EAD[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)
4) [tex]\angle CBE \cong \angle EDA[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)
5) [tex]\triangle BEC \cong \triangle DEA[/tex] (AAS)
