Since the DC is the perpendicular bisector of the segment AB, this means that DC divides AB exactly in half. We also know that the segments AE and BE are equal, therefore we can conlclude the following:
• Segment DB is equal to segment DA.
,
• Segment BC is equal to segment CA.
We can also conlude that, since DB=DA and AE=BE the point E is on the segment DC.