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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.
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
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.
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.
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.
The diagonals of a rhombus are .?
perpendicular and 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
Are diagonals congruent if they bisect each other?
Not necessarily - the diagonals of a rhombus bisect each other (they are perpendicular bisectors of each other), but are not equal.
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.
What quadrilateral has diagonals a are congruent perpendicular and bisect each other?
square
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.
Do the diagonals of a parallelogram bisect each other at a right angle?
Only for a square or rhombus (diamond shape). The diagonals of a rectangle bisect each other, but are not perpendicular and do not bisect the opposite angles they join.
What are the diagnols of a rhombus?
They are perpendicular and therefore bisect each other at right angles
Does a rhombus have diagonals that are perpendicular?
Yes they bisect each other at 90 degrees
What is the name of the quadrilateral that are perpendicular and bisect each other?
If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.
