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Perpendicular Bisectors

The theorem, the converse and an example

Bob Koch

on 13 December 2010

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Transcript of Perpendicular Bisectors

Equidistant from two points if it's distance
from each point is the same... Perpendicular Bisector A segment or line that is perpendicular to a segment at its midpoint Pythagoras!! Seems easy enough. The Theorem: Point C is on the perpendicular bisector - it is equidistant from the endpoints of the sement (points A & B) The Converse: Point C is equidistant from points A & B - it is "on" the perpendicular bisector Use it: What unmarked segment lengths are equal? Is point Q "on" line MN?
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