Question

The diognals of the quadrilateral are perpendicular
to each other, is such a quadrilateral always
a rhombus​

Answer 1

${\purple{\underline{\underline{\mathtt{Answer}}}}}$

$\bf\red{No}$

$\bf{It\:can\:either\:be\:a\:{\pink{rhombus\:}}or\:a{\pink{square}}}$

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${\underline{\underline{\mathtt{\red{Rhombus}}}}}$

$\bf{Properties\:of\:a\:rhombus}$

$\mathtt{1.\:All\:sides\:are\:equal.}$

$\mathtt{2.\:Opposite\:sides\:are\:parallel.}$

$\mathtt{3.\:Diagonals\:intersect\:at\:90\degree}$

$\mathtt{4.Diagonals\:bisect\:each\:other.}$

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___________________________

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${\underline{\underline{\mathtt{\red{Square}}}}}$

$\bf{Properties\:of\:a\:square}$

$\mathtt{1.\:All\:sides\:are\:equal.}$

$\mathtt{2.\:Opposite\:sides\:are\:parallel.}$

$\mathtt{3.\:Diagonals\:intersect\:at\:90\degree}$

$\mathtt{4.Diagonals\:bisect\:each\:other.}$

$\mathtt{5.\:All\:angles\:equal\:90\degree}$

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$\bf{Hence,}$

$\bf\blue{To\:distinguish \:between\:rhombus\:and\:square,\:angles\:are}$

$\bf\blue{necessary.}$