Can cyclic quadrilateral be a parallelogram $?$

Question

Question: a) Can cyclic quadrilateral be a parallelogram $?$

b) Can a parallelogram be cyclic $?$

Solution: a) Cyclic quadrilateral can be a rectangle or square.

They are also parallelogram.

So cyclic quadrilateral can be parallelogram

b) parallelogram is cyclic when it is rectangle.

So parallelogram can be cyclic.

Am I right $?$

Answer 1

One picture is worth a thousand words

Square $\subset$ Rectangle $\subset($Parallelogram $\cap$ Cyclic quadrilateral$)$