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Q: If the diagonals of a quadrilateral are perpendicular then the quadrilateral is a rhombus?
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Related questions

In which quadrilateral are the diagonals perpendicular?

rhombus


Which quadrilateral has perpendicular diagonals?

Rhombus


Is it possible for a quadrilateral to have perpendicular diagonals without being a rhombus?

yes. A kite is not a rhombus, but has perpendicular diagonals.


Which quadrilateral must have diagonals that are congruent and perpendicular?

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.


Is this statement true or falseIf the diagonals of a quadrilateral are perpendicular, then the quadrilateral is a rhombus?

false


If a quadrilateral is a parallelogram and the diagonals are perpendicular what form of polygon is it?

It is a rhombus.


If a quadrilateral has perpendicular diagonals then it is a rhombus what is the counter example?

yes it is


Which quadrilateral diagonals are perpendicular?

Square, Rhombus. * * * * * Or a kite or arrowhead.


What is the name of the quadrilateral that are perpendicular and bisect each other?

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.


Is a quadrilateral with perpendicular diagonal a rhombus?

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


Why does it make sense knowing the diagonals of a quadrilateral are perpendicular is not sufficient to show the quadrilateral is a rhombus?

It makes sense because it is true. There are other quadrilaterals whose diagonals are perpendicular.


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

False. It could be a rhombus.