Question

the quadrilateral whose diagonal are perpendicular to each other is​

Answer 1

daigonal is the shape the all quadrilaterals are perpendicluar to each other

Answer 2

Answer : Rhombus

Rhombus is a parallelogram.

Explanation :

A quadrilateral whose diagonals bisect each other at right angles is a rhombus.

A quadrilateral whose diagonals bisect each other is a parallelogram, so this test is often stated as :

‘If the diagonals of a parallelogram are perpendicular, then it is a rhombus.’

Proof :

Theorem

TheoremIf two adjacent sides of a parallelogram are equal, then it is a rhombus.

Let ABCD be a quadrilateral whose diagonals bisect each other at right angles at M.

We prove that DA = AB. It follows similarly that

AB = BC and BC = CD

triangleAMB equiv triangleAMD (SAS)

So AB = AD and by the theorum above ABCD is a rhombus.

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