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A line segment has only one perpendicular bisector because the bisector is defined as a line that divides the segment into two equal parts at a right angle. For any given line segment, there is a unique midpoint where the segment can be divided, and the perpendicular line drawn through this point will always intersect the segment at a 90-degree angle. Since the properties of Euclidean geometry dictate that a line can only intersect another line at one point, this results in a single perpendicular bisector for the segment.
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How many perpindicuar bisectors can a line segment have?
Since there is no such word as "perpindicuar", it is difficult to be sure. A line segment can have only one perpendicular bisector.
Can a segment have more than one perpendicular bisector?
No. All segments have only one perpendicular bisector.
Why does a line segment have one midpoint and can have many bisectors?
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
Is it possible to construct a perpendicular bisector to any given line segment using only a straightedge a compass?
yes
Is it possible to construct perpendicular bisector to any given line segment using only straightedge and a compass?
Yes
State the Perpendicular Bisector Theorem and its converse as a biconditional?
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.
How many perpindicuar bisectors can a line segment have?
Since there is no such word as "perpindicuar", it is difficult to be sure. A line segment can have only one perpendicular bisector.
Can a segment have more than one perpendicular bisector?
No. All segments have only one perpendicular bisector.
Why does a line segment have one midpoint and can have many bisectors?
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
IT is possible to construct a perpendicular bisector to any given line segment using only a straightedge and a compass?
Ture
Is it possible to construct a perpendicular bisector to any given line segment using only a straightedge a compass?
yes
Is it possible to construct perpendicular bisector to any given line segment using only straightedge and a compass?
Yes
Is possible to construct a perpendicular bisector to any given line segment using only a straightedge and a compass?
Yes
Is it possible to construct a perpendicular bisector to any given line segment using only a straightedge and compass?
Yes it is.
The ancient Greeks were not able to construct a perpendicular bisector for a given line segment using only a straightedge and compass.?
Not true.
The ancient Greeks were not able to construct a perpendicular bisector for a given line segment using only a straightedge and compass?
FALSE
If line s divides MN into two line segments. So the line s is a segment bisector of MN?
If line s divides line segment MN into two equal parts, then it is indeed a segment bisector of MN. This means that the lengths of the two segments created by line s are equal, indicating that s intersects MN at its midpoint. In geometric terms, a segment bisector not only divides the segment into two equal lengths but also can be perpendicular to the segment, although it doesn't have to be.
