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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.

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โˆ™ 2014-08-28 17:38:22
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โˆ™ 2020-04-17 14:57:19

Rhombus

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Q: Which quadrilateral must have diagonals that are congruent and perpendicular?
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Related questions

Can a quadrilateral be a parallelogram is the diagonals are congruent but the quadrilateral has no right angles?

No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).


If the diagonals of a quadrilateral bisect each other then what quadrilateral must be a parallelogram?

diagonals.


Is it true that The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?

no


The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?

False


The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram.?

false


Is a quadrilateral with perpendicular diagonal a rhombus?

Not necessarily. But a parallelogram with perpendicular diagonals must always be one.


If a quadrilateral is a parallelogram and the diagonals are perpendicular then it must be a square?

False. It could be a rhombus.


True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?

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


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

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.


If a quadrilateral is a parallelogram and the diagonals are perpendicular then it must be a rectangle?

False. ^^^ Wronnngg! Its True (Apex). ^ No you are wrong, It is false.


Is it true that the diagonals of a quadrilateral must bisect each other and be perpendicular to guaantee that the quadrilateral is a parallelogram?

No. It is false. If both of those conditions are met, then the quadrilateral is a square.


What type of quadrilateral has four congruent sides?

A rhombus is a quadrilateral whose four sides are congruent. Squares are a type of rhombus with congruent angles. Since there are 4 contruent angles, they must all be right angles.So any quadrilateral that is equilateral is a rhombus and any rhombus with 4 right angles is a square. Every rhombus is a parallelogram because the opposite angles of a rhombus are congruent. Also, the diagonals of a rhombus are perpendicular.

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