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Perpendicular lines intersect.
"lines" are infinitely long, if you want to say that anypoint on an infinitely long line bisects that line (which IS the case in several geometrical theories but not all!) then:
YES, perpendicular lines bisect each other.
otherwise:
NO, you cannot bisect something that is infinitly long.
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What is special about the diagonal lines of a Rhombus?
They bisect each other at 90 degrees. They are the perpendicular bisectors of each other.
Do the diagonals of a rhombus bisect each other?
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
How do you construct a perpendicular bisector of each side of a parallelogram?
With a compass and a straight edge and the lines must bisect each other at 90 degrees
What shape has congruent diagonals that bisect each other but are not perpendicular?
Rectangle
Must a bisector of a segment always be a perpendicular line?
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
