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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.

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โˆ™ 2011-11-18 22:54:04
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A polynomial of degree zero is a constant term

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Q: What kind of parellogram is it If the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other?
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Related questions

What is a Parallelogram with all congruent sides and perpendicular bisectors?

a square.


What type of parallelogram always has diagonals that are congruent and are perpendicular bisectors of each other?

square


What is the ways to prove that a quadrilateral is a parallelogram?

If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.


If the diagonals of a parallelogram are perpendicular but not congruent then it is?

A rhombus would fit the given description.


What are four attributes of a rhombus?

1. Opposite angles congruent 2. All sides are congruent 3. The diagonals are perpendicular bisectors of each other 4. Diagonals bisect the angles NOTE: Four congruent right triangles are formed with the right angles It has all of the properties of a parallelogram and a kite


Name the best classification for a parallelogram with perpendicular diagonals?

The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.


What is a quadrilateral with two pairs of parallel lines?

It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular


Is a parallelogram congruent?

yes a parallelogram is congruent


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.


Is parallelogram can have no congruent angles?

No. In a parallelogram, opposite angles are congruent.


Are the diagonals of a parallelogram are congruent?

Not necessarily. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.


Are the diagonals of a parallelogram congruent?

No, the diagonals of a parallelogram are not normally congruent unless the parallelogram is a rectangle.


The perpendicular bisectors of a triangle are lines or segments that intersect the sides at right angles and divide each of them into two parts of length?

Congruent (APEX) :P


Does a parallelogram have angles that are congruent?

Yes, opposite angles of a parallelogram are congruent.


Should the diagonals of a parallelogram always be congruent?

No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.


Are diagonals of equal length in a parallelogram and rectangle?

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.


Opposite angles in a parallelogram are?

Congruent


Are diagonals of a parallelogram not congruent?

yes. they are not congruent


Are the opposite sides of a parallelogram congruent?

Yes, the opposite sides of a parallelogram are congruent.


In any parallelogram are the diagonals congruent?

The diagonals are not congruent unless the parallelogram happens to be a rectangle.


In which parallelogram are the diagonals congruent?

If a parallelogram is in the form of a rectangle then both diagonals are congruent in lengths.


Is a parallelogram with congruent sides a square?

No. If you made a parallelogram with congruent sides it wouldn't necessarily have congruent angles. A square has to have congruent angles as well as congruent sides.


Can a parallelogram have all congruent sides?

Yes.A parallelogram with all congruent sides is called a rhombus. A square is technically a parallelogram with all congruent sides as well.


What shape has diagonals that are perpendicular?

The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.


How many pairs of congruent sides does each parallelogram have?

A parallelogram has two pairs of congruent sides.