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Q: Are both diagonals of any parallelogram longer than the sides?
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The diagonals are congruent but the quadrilateral has no right angles is it a parallelogram?

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.


If one side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?

No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.


How Can a quadrilateral be both a rhombus and a parallelogram?

A quadrilateral is a shape with 4 sides, so a rhombus and parallelogram both have 4 sides.


Condition which garanty that a quadrilateral is parallelogram?

The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.


A parallelogram is a quadrilateral in which both pairs of opposite sides are paraellel?

Yes. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.