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It is a square because its diagonals are equal in length and they bisect each other at right angles which is 90 degrees

The diagonals of a rhombus are not equal in length but they meet at right angles.

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Q: What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?
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Related questions

What kind of parellogram is it If the diagonals of a parallelogram are congruent and are perpendicular bisectors of 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.


What quadrilateral has the diagonals of a perpendicular bisectors of equal length?

A square.


Which quadrilateral must have diagonals that are congruent and perpendicular?

The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.


Are the diagonals of a quadrilateral both perpendicular and congruent?

In general, no, they are not.


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

square


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


What quadrilateral has diagonals a are congruent perpendicular and bisect each other?

square


Is a quadrilateral with congruent and perpendicular diagonals a square or a rhombus?

It could be a square, but consider the following congruent & perpendicular 'diagonals of a quadrilateral (you will have to connect the endpoints of the diagonals, yourself, as it cannot be drawn in text): . _|___ . | . | . | If the two diagonals, also bisect each other, then it's a square, otherwise it is not.


What are all the names of all the quadrilateral with pictures?

Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides 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.


The diagonals of a rhombus are perpendicular bisectors of one another?

True, the diagonals of a rhombus are perpendicular bisectors of one another.


Are diagonals on a parallelogram perpendicular bisectors?

No, they are just bisectors. The angle between them is not (usually) the 90o required to be perpendicular.