Why Are Perpendicular Bisectors Important?

Perpendicular bisectors are important prior knowledge for constructions. Understanding that a perpendicular bisector of a segment (side of a polygon, side of an angle maybe) bisects the segment at the midpoint, create two congruent, smaller segments is important.

What is special about a perpendicular bisector?

Properties of a Perpendicular Bisector

It divides AB into two equal halves or bisects it. It makes right angles with (or is perpendicular to) AB. Every point in the perpendicular bisector is equidistant from point A and B.

What is the importance of bisectors?

Bisectors are very important in identifying corresponding parts of similar triangles and in solving proofs. In a triangle if you draw in one of your angle bisectors, remember there's three, one for each vertex, you're going to divide the opposite side proportionally.