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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.
Is it possible to construct a perpendicular bisector to any given line segment using only a straightedge and compass?
Yes it is.
Is possible to construct a perpendicular bisector to any given line segment using only a straightedge and a compass?
Yes
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
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
Is it possible to construct a perpendicular bisector to any given line segment using only a straightedge and a compas?
Yes Set the compass to wider than half the length of the line segment. Put the point of the compass on one end of the line segment and draw two arcs, one either side of the line (roughly near the middle). Put the point of the compass on the other end of the line segment and draw two further arcs to intersect the first two arcs. With a straight edge, join the two points where the arcs cross. This line is the perpendicular bisector of the original line segment.
