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Is it possible to construct a perpendicular line that bisects a line?

Yes, it is possible to construct a perpendicular line that bisects a given line segment. To do this, you can use a compass and straightedge: first, draw arcs of equal radius from each endpoint of the segment to create two intersection points above and below the segment. Then, draw a line through these intersection points, which will be perpendicular to the original segment and will bisect it at its midpoint.


A perpendicular line or segment that bisects one side of a triangle is called the?

Perpendicular bisector.


What must be true about a perpendicular bisector and the segment it bisects?

It bisects the line segment at midpoint at 90 degrees and its slope is the reciprocal of the line segment's slope plus or minus.


Describe two ways to construct a segment that is perpendicular to a given segment?

There are two ways to construct a segment. One way is drawing the perpendicular bisector, the second is with a ruler.


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


IT is possible to construct a perpendicular bisector to any given line segment using only a straightedge and a compass?

Ture


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.


What is the difference between and angle bisector and a perpendicular bisector?

An angle bisector bisects an angle. A perpendicular bisector bisects a side.


What if you repeat the perpendicular line segment construction twice using paper folding you can construct?

You can construct a parallel to a line through a point not on the line. (perpendicular line segment)


What is a perpendicular line or segment that bisects one side of a triangle called?

A perpendicular line or segment that bisects one side of a triangle is called the median of the triangle. Specifically, it is the line segment that connects a vertex of the triangle to the midpoint of the opposite side, creating two equal segments. This segment is not only perpendicular but also plays a crucial role in various triangle properties and constructions.