Does a perpendicular bisector prove congruence?

A perpendicular bisector [for a given line segment] is a line that meets it at 90 degrees and divides it into two halves.

A line that is perpendicular to the segment of a plane and passes through the midpoint.

In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the...

thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)

The diagonals of a square are perpendicular (they intersect and form right angles). But they are angles bisectors since they bisect each pair of opposite angles.A perpendicular bisector actually...