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equilateral triangles

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Q: In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertex of two?
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In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?

Equilateral triangles


What is a perpendicular bisector of a line segment?

The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.


What is the different between a perpendicular bisector and a midpoint?

A midpoint is a point. It's the point exactly halfway between the endsof a line segment.A perpendicular bisector is a line. It's the line that passes through themidpoint of the segment, and is perpendicular to the segment.


What are the distances from a point on the perpendicular bisector to the endpoints of a segment?

The distance will be length of the line divided by 2 because the perpendicular bisector cuts through the line at its centre and at right angles


What of a triangle is a segment drawn through the midpoint of a side forming a right angle?

It is the 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.


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)


Is a perpendicular bisector a type of concurrent line?

A perpendicular bisector is a line that cuts through another line at 90 degrees


What is the line that goes through the midpoint of a segment?

segment bisector


What are the difference between perpendicular lines and a perpendicular bisector?

A perpendicular bisector goes through the median of the line while a perpendicular line can be anywhere on the line as long as it is at a 90 degree angle.


What is a line ray or segment that passes through the midpoint of another segment?

A segment bisector


What of a side of a triangle is a line perpendicular to a side through the midpont of the side?

Perpendicular bisector.