With a compass and a straight edge and the lines must bisect each other at 90 degrees
With a straight edge and making sure that its length is greater than its perpendicular height and that opposite sides are parallel to each other.
The bisector and the line segment are perpendicular to each other.
A perpendicular bisector splits a line segment into two congruent parts.
With a straight-edge and a compass:Swing arcs from each end of the segment with the compass (without changing the settings)Connect the intersections of these arcs.The resultant is a perpendicular bisector of the segment.
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
With a straight edge and making sure that its length is greater than its perpendicular height and that opposite sides are parallel to each other.
The bisector and the line segment are perpendicular to each other.
-- Draw any two random chords of the circle. -- Construct the perpendicular bisector of each chord. -- The perpendicular bisectors intersect at the center of the circle. All of this can be done with a compass, an unmarked straight-edge, and a pencil.
A perpendicular bisector splits a line segment into two congruent parts.
The diagonals of a parallelogram do not intersect each other at right angles and so therefore they aren't perpendicular to each other.
always
yes
With a straight-edge and a compass:Swing arcs from each end of the segment with the compass (without changing the settings)Connect the intersections of these arcs.The resultant is a perpendicular bisector of the segment.
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. If the diagonals are not congruent but are perpendicular bisectors of each other then the figure would be a rhombus.
It is a rhombus