The cyclic quadrilateral whose diagonals intersect at the center of a circle is: a rectangle.
What is a Cyclic Quadrilateral?
A cyclic quadrilateral is one that can be inscribed in a circle and its opposite angles are supplementary.
All interior angles of a rectangle that are opposite each other are supplementary. When a rectangle is inscribed in a circle as shown in the image attached below, its diagonals meet at the center of a circle.
The answer is: rectangle.
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