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OpenStudy (anonymous):
Converse of Perpendicular bisector theorem? Converse of the Perpendicular Bisector Therom: any point equidistant from the endpoints of the segment lies on the perpendicular bisector of the segment. (we are trying to prove this) Given AD=BD AE=BE Prove DE is the perpendicular bisector of AB. The picture shows segment AB with line DE intersecting it at point C. The table has some statements filled in: 1) AD=BD, AE=BE (given) 2) DE=DE 3) 4) 5) 6) 7) 8) linear pair 9) 10) 11) 12) right angles 13) 14)C is the midpoint of AB 15) DE bisector. Thanks
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