Not all rhombus can be inscribed in a circle until the rhombus has four 90º angles which is a square.
A rhombus can only be can be inscribed in a circle. basically the opposite angles there in the rhombus are congruent. if the opposite angles are not supplementary, that rhombus cannot be encircled, while that rhombus had four 90º angles, which means if it is a square, as in general a rhombus has two diagonals that are not equal except square so the endpoints of the shorter diagonal would not be points on the circle.
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