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Q: What quadrilateral is diagonal of a square?

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Square

square

A regular quadrilateral is a square. As to the measure, the answer depends on the measure of WHAT? An angle, a side, the diagonal, area, perimeter, etc.

A quadrilateral in which diagonal are not congruent and only larger diagonal is perpendicular bisector of smaller diagonal then it is known as kite -- Mohan S. Vighe

Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.

No. It could be a kite.

Two of them

In this case, the quadrilateral is sometimes a parallelogram.

If those are four sides of a quadrilateral, you would also need some additional information, for example some angle, or a diagonal. If you have a diagonal, you can separate your quadrilateral into two triangles, and use Heron's formula.

a quadrilateral in which diagonal are not congruent and larger diagonal is perpendicular bisector of smaller diagonal then it is known as kite

isn't it a rhombus ? the ones that are like a slanted square ? because there are no right angles but each diagonal bisects the corners.

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