For every line segment, there is one perpendicular bisector that passes through the midpoint. There are infinitely many bisectors, but only one perpendicular bisector for any segment.
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How many perpendicular bisectors are on a line segment?
For a line segment there can only be one perpendicular bisector because at each point on a line segment only one perpendicular can be drawn and a perpendicular bisector passes through a single fixed point which is the midpoint.
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How many bisectors does a plane have?
If a line is in a plane, it only has one perpendicular bisector. However, if a line is in space, there are an infinite number of perpendicular bisectors, since the perpendicular bisector in the same plan as the line can be rotated around the line and still be a perpendicular bisector.
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How many bisectors does a segment have quizlet?
For a segment in a plane, there is only one perpendicular bisector, but, there is infinitely many bisectors.
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What is the bisector of the segment?
Bisector Definition The bisector is a line that divides a line or an angle into two equivalent parts. The bisector of a segment always contains the midpoint of the segment. There are two types of bisectors based on what geometrical shape it bisects.
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How many bisectors does a segment have?
For every line segment, there is one perpendicular bisector that passes through the midpoint. There are infinitely many bisectors, but only one perpendicular bisector for any segment.
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Can a segment have two or more bisectors?
A segment can have multiple bisectors at the same time, shown in the previous diagram.
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How many bisectors are there?
There are two types of bisectors based on what geometrical shape it bisects.
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What is a bisector of a segment?
To bisect a segment or an angle means to divide it into two congruent parts. A bisector of a line segment will pass through the midpoint of the line segment. A perpendicular bisector of a segment passes through the midpoint of the line segment and is perpendicular to the line segment.
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How many perpendicular bisectors are required to be constructed to divide a line segment in 4 parts?
Thus, only one perpendicular bisector can be drawn for a line segment.
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How many bisectors can a segment have?
For every line segment, there is one perpendicular bisector that passes through the midpoint. There are infinitely many bisectors, but only one perpendicular bisector for any segment.
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How many perpendicular bisectors are there on a line segment?
Only one perpendicular bisector can be drawn to a given line segment.
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What is the maximum amount of perpendicular bisectors?
There are a maximum of four triangles with the three segments of given lengths as perpendicular bisector segments.
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How many bisectors are in a plane?
If a line is in a plane, it only has one perpendicular bisector. However, if a line is in space, there are an infinite number of perpendicular bisectors, since the perpendicular bisector in the same plan as the line can be rotated around the line and still be a perpendicular bisector.
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How many bisectors are possible?
An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle.
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Can there be multiple bisectors?
In a triangle, the angle bisector of an angle is a straight line that divides the angle into two equal or congruent angles. There can be three angle bisectors in every triangle, one for each vertex. The point where these three angle bisectors meet in a triangle is known as its incenter.
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How many perpendicular bisectors does a line have?
For a line segment there can only be one perpendicular bisector because at each point on a line segment only one perpendicular can be drawn and a perpendicular bisector passes through a single fixed point which is the midpoint.
