Statement 1: BA || EC
Reason 1: Given
Statement 2: BA = EC
Reason 2: Given
Statement 3: Angle A = Angle C
Reason 3: Given
Statement 4: angle ABE = angle CED
Reason 4: Corresponding Angles
Statement 5: Triangle BEA = Triangle EDC
Reason 5: ASA Congruence
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Extra notes:
* The line segment BD is the transversal cut to the parallel segments BA and EC.
* The tickmarks on segments BA and EC are visual indicators telling us that the two segments are the same length, aka congruent
* ASA used in line 5 stands for "angle side angle". The congruent sides are between the two pairs of congruent angles.
