Final answer:
A parallelogram inscribed in a circle is not necessarily a square.
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. If a parallelogram is inscribed in a circle, it must have some special properties. One of these properties is that the opposite angles of the parallelogram are equal. However, this does not mean that the parallelogram is necessarily a square.
A square is a special type of parallelogram that has all four sides equal in length and all four angles equal to 90 degrees. Therefore, if a parallelogram is inscribed in a circle, it can be a square, but it can also be a rectangle, a rhombus, or any other type of parallelogram.
For example, if we consider a rectangle, which is a type of parallelogram, it can be inscribed in a circle by taking the diagonals of the rectangle as the diameters of the circle. In this case, the rectangle will touch the circle at its four corners, but it will not be a square.
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