Instructor: Malcolm M.

You are watching: How many bisectors does the segment have

Malcolm has a Master"s Degree in education and learning and also holds four teaching certificates. He has been a public school teacher for 27 years, including 15 years as a math teacher.

Segment Bisector (Definition, Instances, & Video)

VideoLine SegmentSegment BisectorExamplesInfinitePerpendicular

The human eye is amazingly fast and also accurate at visually separating things dvery own the middle. Whether you are looking at a item of paper, a wall awaiting a photo, or a humble line segment, your binocular (twin) vision helps you uncover that halfmeans suggest quickly. On a line segment, that halfway spot is the segment bisector.

What you"ll learn:

After functioning your way with this lesboy and video, you will be able to:

Respeak to and also state the interpretation of a segment bisectorIdentify the assorted creates of segment bisectors, including line segments, lines, rays and pointsRecall that a solitary segment might be bisected by an unlimited number of bisectors, only among which could be a perpendicular bisector

What is a Line Segment?

Reviewing your basic geometry, a line segment is a portion of a line, bounded at both ends by identified points, favor this:

Point A, on the left, is the farthest to the left the line segment have the right to go. Point Z, on the ideal, is as far to the right as the line segment will certainly extfinish. Unprefer a line, a line segment is finite; it ends at, well, its two ends.

Segment Bisector Definition

Any geometric number that deserve to pass through (or sit on) the line segment can form a segment bisector. A segment bisector is a geometric figure that divides the line segment specifically in fifty percent.

All of these figures can be segment bisectors:

PointsLine segmentsRaysLines

Segment Bisector Examples

Here is a allude, Point M, that is specifically at the facility of line segment AZ:

Here are 2 line segments, each passing with the exact middle of line segment AZ, each acting as segment bisectors:

And right here is our very same beloved line segment AZ through Ray MN serving as the segment bisector:

Infinite Segment Bisectors

Rays are unlimited in one direction. Lines are infinite in two directions. If either a ray or a line serves as a segment bisector, it will certainly be limitless. We have checked out Ray MN obtain the task done. Now let"s see a line take care of it:

The just boundless segment bisectors, then, are a ray and also a line.

Perpendicular Segment Bisector

For every line segment, you deserve to have actually an unlimited number of rays, line segments, and also lines passing through the midpoint of the line segment. You deserve to just have one allude on the line segment at the halfway note.

You deserve to additionally have actually just one segment bisector that is perpendicular to the segment, favor this:

Notice that line EV bisects the line segment at an angle of precisely 90°. No other geometric figure deserve to occupy that precise area, so every line segment has actually just one perpendicular segment bisector.

Facts around Segment Bisectors

Let"s review and go over some facts about segment bisectors:

A segment bisector, always passes with the midpoint of the segment and also divides a segment in two equal parts.A segment bisector may or may not be a perpendicular bisector.Points, lines, segments, and rays are all forms of segment bisectors. If either a ray or a line serves as a segment bisector, it will be boundless.A segment might have many bisectors at the same time.

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Leschild Summary

Now that you have review and studied the lesson, you are able to recontact and also state the meaning of a segment bisector, determine the miscellaneous creates of segment bisectors, consisting of line segments, lines, rays and also points, and also recontact that a single segment might be bisected by an infinite variety of bisectors, just one of which could be a perpendicular bisector.