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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.
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
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
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
