splitting Angles
Angles deserve to be divided as with ordinary numbers. An angle deserve to only be separated by a ray on the interior of the angle, though. Such a ray that divides one angle into two equal angles is called an edge bisector. Likewise, two rays that division an angle right into three congruent angle are referred to as angle trisectors.You are watching: A ray that divides an angle into two congruent angles

With edge bisectors and trisectors, it additionally holds true that any type of of the brand-new angles developed by the bisector or trisector is equal to specifically one-half or one-third that the original angle, depending on whether the angle has actually been bisected or trisected.
dividing Segments
A segment is separated into two equal segment only as soon as a heat or segment passes v the midpoint of the initial segment. The midpoint the a segment is the point lying in the segment the is exactly halfway from every endpoint of the segment.

Bisectors
When a line or segment passes v the midpoint of another segment, the line or segment is a bisector that the various other segment. There are an infinite variety of bisectors because that every segment, depending on the angle at which the just arrived segment or heat bisects the other segment.

Perpendicular Bisectors
If a bisector is perpendicular come the segment it bisects, it is referred to as the perpendicular bisector of that segment. Due to the fact that there exists just one line perpendicular come a line at a given point, a segment has only one perpendicular bisector: the perpendicular line the passes v the midpoint that the segment.

See more: What Is The Area Of An Equilateral Triangle That Has Sides Of 2 Yards And A Height Of 4.25 Feet?
Just together there room bisectors because that segments, there room trisectors, too.Segment trisectors divide a segment right into three same segments.