In context of the given figure:

(i) Is it a simple closed curve?

(ii) Is it a quadrilateral?

(iii) Draw its diagonals and name them.

(iv) State which diagonal lies in the interior and which diagonal lies in the exterior of the quadrilateral.

(i) The given figure has the same starting and end point and does not cross itself at any point.

∴ Yes, it is a simple closed curve.

(ii) The given figure is a simple closed curve made up entirely of four line segments.

∴ Yes, it is a quadrilateral.

(iii) The diagonals are obtained by joining the non-adjacent vertices of the quadrilateral.

∴ The diagonals are $\overline{AC} \text{ and } \overline{BD}$.

(iv) On observing the figure carefully, we find that one diagonal lies completely inside the quadrilateral while the other lies completely outside it (since the quadrilateral is concave).

∴ Diagonal $\overline{AC}$ lies in the interior and diagonal $\overline{BD}$ lies in the exterior of the quadrilateral ABCD.