Question 1019280
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You are given :  Segment DE

Now prove that:  Point X (any point on the perpendicular bisector of segment DE) is the same distance 
from D as it is from E (prove segment XD is congruent to segment XE.)
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The standard geometric formulation of this property is this:


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If a point lies on the perpendicular drawn through the midpoint of a line segment, 
then the point is equidistant from the endpoints of the line segment. 
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See the lesson <A HREF=http://www.algebra.com/algebra/homework/Triangles/A-perpendicular-bisector-of-a-segment.lesson>A perpendicular bisector of a segment</A> in this site.