SOLUTION: 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 con

Algebra ->  Geometry-proofs -> SOLUTION: 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 con      Log On


   



Question 1019280: 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.)

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.
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 perpendicular bisector of a segment in this site.