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Q: If the diagonals of a quadrilateral bisect each other then the quadrilateral is a?

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A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus

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true

The missing word is "bisect".

Square, Rhombus

may or may not be

A quadrilateral is a parallelogram if and only if its diagonals bisect each other (this should be in any geometry book)

Square

If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.

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