Question

Parallelogram circumscribing a circle is a ______.

Answer 1

Parallelogram circumscribing a circle is a rhombus.

Explanation:

If a parallelogram circumscribes a circle, it is a tangential quadrilateral so the sums of opposite sides are equal. In a parallelogram opposite sides are already equal, so this forces adjacent sides to be equal as well — hence all four sides are equal, i.e., the parallelogram is a rhombus.