Based on the known properties of quadrilateral GHIJ, which is identified as a square, we know the following: it has four equal sides, four right angles, and its diagonals bisect each other at right angles as well.
Given these properties, we would usually be able to use this information to solve for unknown variables. However, in this particular question, there is an unknown 'v' without any prior context or details.
We don't know where v is located, nor its relationship to the square GHIJ. For instance, 'v' could potentially refer to a variable, a vertex, or even a vector. Without this crucial information, we don't have enough context to find a solution.
Therefore, quadrilateral GHIJ being a square doesn't provide us with any information about the unknown 'v'. Thus, we can't conclusively determine the value of 'v' based off of the information given in the problem.
To summarize, the problem cannot be solved due to insufficient data. The fact that quadrilateral GHIJ is a square provides no context or supplementary data that would allow us to identify or calculate the unknown value 'v'.