A square cannot be a corner and a corner cannot be a square.
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Perhaps you are thinking of the flag of Panama, which has a white square in the upper left-hand corner with a blue star in the middle, a red square in the upper right-hand corner, a blue square in the lower left-hand corner, and a white square with a red star in the middle in the lower right-hand corner.
The diagonal of a square is not perpendicular to its side. The diagonal of a square will separate the square into two triangles. The diagonal goes from one corner to the opposite corner. Because it is a square, the diagonal and a side of the square will always form a 45-degree angle.
As you can see, this square is made up of two triangles. The line drawn down the middle, from corner to corner, is the line you are asking about, that creates the "two things" or the two triangles on either side of it.
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a square, rectangle, diamond..........