No but its diagonals are perpendicular
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A kite and an arrow head are 2 of them
A kite would fit the given description.
In a kite geometric shape, the diagonals are always perpendicular.
A quadrilateral in which diagonal are not congruent and only larger diagonal is perpendicular bisector of smaller diagonal then it is known as kite -- Mohan S. Vighe
Perpendicular and the one for which each endpoint touches only sides of equal length bisects the other.