If the diagonals of a quadrilateral- with no angle equal to 90- bisect each other at right angles- then the quadrilateral is

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Standard VIII

Mathematics

Rhombus

If the diagon...

Question

If the diagonals of a quadrilateral, with no angle equal to $90^{\circ}$ , bisect each other at right angles, then the quadrilateral is

Not possible

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Rhombus

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Parallelogram

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Square

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Solution

The correct option is C Rhombus
The diagonals bisect at right angles only in rhombus and square, but we are given that no angle of the quadrilateral is $90^{\circ},$ so the quadrilateral should be a rhombus.

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If the diagonals of a quadrilateral, with no angle equal to 90∘, bisect each other at right angles, then the quadrilateral is

The correct option is C RhombusThe diagonals bisect at right angles only in rhombus and square, but we are given that no angle of the quadrilateral is 90∘, so the quadrilateral should be a rhombus.

If the diagonals of a quadrilateral, with no angle equal to $90^{\circ}$ , bisect each other at right angles, then the quadrilateral is

The correct option is C Rhombus
The diagonals bisect at right angles only in rhombus and square, but we are given that no angle of the quadrilateral is $90^{\circ},$ so the quadrilateral should be a rhombus.