Question

Given:
Line segment AB is parallel to line segment CD. Point E is the midpoint of Line segment BC and Line segment AD.

Statement

Reason
Line segment AB is parallel to line segment CD.
Point E is the midpoint of Line segment BC.


Given
∠AEB ≅ ∠CED

Vertical angles are congruent
Line segment BE is congruent to line segment EC
Line segment AE is congruent to line segment DE

Definition of midpoint
ΔAEB ≅ ΔDEC

Side-Angle-Side