A,e,f,g,h,i,k,l,m,n,t,v,w,x,y,z .... but capitalized.
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No, a segment is not necessarily perpendicular. A segment is simply a straight line connecting two points. A perpendicular segment would be a segment that forms a right angle with another segment or line.
perpendicular bisector
I believe this is called the perpendicular bisector.
Sure. There's even a special name for that line. It's called the "perpendicular bisector" of the segment.
. . . is the segment perpendicular to the line.