One of the diagonals of a rhombus is equal to its sides. Find the angles of the
rhombus. The diagonal divided the rhombus into two equilateral triangles with the top being 60 degree so the other two sides should also be 60 degree each.
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Since the sides of a rhombus are congruent, all a single diagonal will do is divide the rhombus into two congruent isosceles triangles. In other words, triangle WXY will be congruent to WZY for any rhombus WXYZ. ... If you can show that the diagonals are congruent, then you can prove that you have a square.
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