Parallelogram Property Test: Analyzing Segments of 2 and 5 Units in ABCD

To determine if quadrilateral $ABCD$ is a parallelogram, we need to verify if its diagonals $AC$ and $BD$ bisect each other. This can be confirmed if their respective segments around intersection point $F$ are equal.

Given the information, we have:

• $AF = 2$ and $FD = 2$, indicating diagonal $AD$ is bisected by $F$.
• $BF = 5$ and $FC = 5$, indicating diagonal $BC$ is bisected by $F$.

Since both conditions are satisfied, the diagonals indeed bisect each other, fulfilling the criteria for quadrilateral $ABCD$ to be a parallelogram.

Therefore, the answer to the question is Yes, quadrilateral $ABCD$ is a parallelogram.