Problem

Write out a complete proof of the following:THEOREM: The perpendicular bisectors of the si...

Write out a complete proof of the following:

THEOREM: The perpendicular bisectors of the sides of a triangle, if two of them meet, are concurrent at a point that is the center of a circle (circumcircle) passing through the vertices. (The point of concurrency is called the circum-center of the triangle.)

NOTE: The conditional is needed here because in absolute geometry it is possible for two such perpendicular bisectors to be nonintersecting lines.

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Solutions For Problems in Chapter 3.3