If either a ray or a line serves as a segment bisector, it will be infinite.Ī segment may have many bisectors at the same time. Points, lines, segments, and rays are all types of segment bisectors. Let's review and go over some facts about segment bisectors:Ī segment bisector always passes through the midpoint of the segment and divides a segment in two equal parts.Ī segment bisector may or may not be a perpendicular bisector. No other geometric figure can occupy that exact space, so every line segment has only one perpendicular segment bisector. Notice that line EV bisects the line segment at an angle of exactly 90°. You can also have only one segment bisector that is perpendicular to the segment, like this: Perpendicular segment bisector You can only have one point on the line segment at the halfway mark. Perpendicular segment bisectorįor every line segment, you can have an infinite number of rays, line segments, and lines passing through the midpoint of the line segment. The only infinite segment bisectors, then, are a ray and a line. Now let's see a line handle it: Infinite segment bisectors If either a ray or a line serves as a segment bisector, it will be infinite. Here are two line segments, one passing through the exact middle of line segment AZ, acting as a segment bisector: Line segment bisectorĪnd here is our same beloved line segment AZ with Ray MN serving as the segment bisector: Ray MN as segment bisector Infinite segment bisectors Here is a point, Point M, that is exactly at the center of line segment AZ: Segment bisector Unlike a line, a line segment is finite it ends at its two ends. A line segment is a portion of a line, bounded at both ends by identified points.
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