What is the difference between a bisector and a midpoint?

Answer 1

The midpoint is a point. A bisector is a line. The midpoint defined by its location in space as equally distant from the two other points on a line. A bisector is line defined by at least two points in space one of which is the midpoint as defined earlier. The midpoint is a point on a bisector. http://en.wikipedia.org/wiki/Bisection In addition to line segments, bisectors there are also bisectors for 2 dimentional objects such as angles. http://mathworld.wolfram.com/AngleBisector.html Out side the formalism of Geometry, any measurement has a midpoint: length, mass, tempurature, time, etc. 'Bisect' is used less frequently outside geometry. A person can take a 2 hour journey from one place to another covering 50 miles. The journey consisted of many turns on a map. The transportation was part by bicycle and part by train. You could use the term midpoint of the journey as either the 1 hour point or the 25 mile point depending on personal preference to measure your journey. You probably wouldn't apply the term 'bisection' of a journey unless you wanted to confuse those around you.