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Q: How do you construct a perpendicular bisector of each side of a parallelogram?

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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 diagonals of a parallelogram do not intersect each other at right angles and so therefore they aren't perpendicular to each other.

The bisector and the line segment are perpendicular to each other.

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.

yes

always

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.

In general, they are not. In an isosceles triangle, the perpendicular bisector of the base is the same as the bisector of the angle opposite the base. But the other two perp bisectors are not the same as the angle bisectors. Only in an equilateral triangle is each perp bisector the same as the angle bisector of the angle opposite.

Right angles are created when perpendicular lines intersect 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.

It is a rhombus

It is a rhombus whose diagonals are perpendicular and meeting each other at right angles.

Only if the parallelogram is in the form of a rhombus will its diagonals bisect each other at right angles

The opposite sides are parallel to each other

False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.

the diagonal in a paralleogram is not equal but the diagonals in the rectangle are congruent this is because the opposite sides of a parallelogram and rectangle are same parallel to each other but the adjacent sides of a parallelogram is not perpendicular where as the adjacent sides of rectangle is perpendicular to each other.

The diagonals of a kite are perpendicular and therefore bisect each other at 90 degrees

A rhombus is a type of a parallelogram and its diagonals are perpendicular which means that they intersect each other at right angles.

False

A parallelogram has 2 pairs of parallel lines and in the form of a rectangle it has 2 pairs of parallel lines and 4 perpendicular lines that meet at each of its corners at right angles.

A parallelogram.

square

Parallelogram and a rectangle

Parallelogram and a rectangle