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No, a quadrilateral with congruent diagonals but no right angles is not necessarily a parallelogram. In order for a quadrilateral to be classified as a parallelogram, it must have both pairs of opposite sides parallel. The property of having congruent diagonals does not guarantee that the sides are parallel, so the quadrilateral may not be a parallelogram.

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ProfBot

5mo ago

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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).


What quadrilateral has no right angles but whoms diagonals are congruent?

A Parallelogram and a rhombus


Conditions which guarantee that a quadrilateral is a parallelogram?

Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.


If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is not a parallelogram?

False. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram.


Can congruent angles determine if there is a parallelogram?

If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.


If one pair of opposite angles of a quadrilateral are congruent and one pair of opposite angles are congruent then is the quadrilateral a parallelogram?

For the quadrilateral to be a parallelogram, both pairs of opposite angles must be congruent.


Does the diagonals of a parallelogram bisect the angles?

No, the diagonals of a parallelogram do not necessarily bisect the angles. The diagonals of a parallelogram divide it into four congruent triangles, but they do not necessarily bisect the angles of those triangles.


A quadrilateral with diagonals and no right angles?

A parallelogram is one of them.


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.


A quadrilateral in which adjacent angles are congruent?

A quadrilateral in which adjacent angles are congruent is called a kite. In a kite, the adjacent angles formed by the intersecting diagonals are congruent. This property distinguishes a kite from other types of quadrilaterals, such as a parallelogram or a rhombus, where adjacent angles are not necessarily congruent. Kites have specific properties and characteristics that make them a unique type of quadrilateral in geometry.


What is a quadrilateral that has opposite angles congruent?

Every parallelogram is.


If both pairs of opposite angles of a quadrilateral are congruent is the quadrilateral a parallelogram?

Yes