Content Analysis:
- The text states that if a parallelogram has a circumscribed circle, then all its angles are 90°, meaning it is a rectangle.
- It also mentions that the center of the circle coincides with the intersection point of the diagonals of this rectangle.
- The image displays a quadrilateral labeled A, B, C, D, resembling a parallelogram, with angles denoted by Greek letters alpha (α) and beta (β).
Geometric Principle: A parallelogram can be inscribed in a circle if and only if it is a rectangle. In a rectangle, the diagonals are equal in length and bisect each other, making their intersection point equidistant from all vertices, which is the definition of the circumcenter.