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State the Perpendicular Bisector Theorem and its converse as a biconditional?
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.
What is a perpendicular bisector of a line segment?
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle true or false?
The perpendicular bisector of ANY chord of the circle goes through the center. Each side of a triangle mentioned would be a chord of the circle therefore it is true that the perpendicular bisectors of each side intersect at the center.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
Equilateral triangles
What of a segment is a line segment or ray that is perpendicular to a segment at its midpoint?
Perpendicular Bisector
