The document discusses midsegments and perpendicular bisectors of triangles. It defines a midsegment as a segment connecting the midpoints of two sides of a triangle. The midsegment theorem states that a midsegment is parallel to the third side and half as long. A perpendicular bisector is a segment perpendicular to a segment at its midpoint. The perpendicular bisector theorem says that if a point is on the bisector, it is equidistant from the endpoints. Their point of concurrency is called the circumcenter.