**Solution:** Coordinates of P can be calculated as follows:

Coordinates of Q can be calculated as follows:

Coordinates of R can be calculated as follows:

Coordinates of S can be calculated as follows:

Length of PQ can be calculated as follows:

Similarly, QR can be calculated as follows:

The above values show that RS = PS, i.e. all sides are equal.

Now let us calculate the diagonals

**Hence, it is clear that while all sides are equal, diagonals are not equal. So, the given figure is a rhombus.**