## Geometry: Common Core (15th Edition)

Yes, the quadrilateral shown is a parallelogram. We can see from the diagram that diagonal $\overline{AC}$ bisects diagonal $\overline{BD}$, and diagonal $\overline{BD}$ bisects diagonal $\overline{AC}$. In a parallelogram, diagonals bisect one another; therefore, we can conclude that $ABCD$ is a parallelogram.