Final answer:
The molecular geometry of the central atom in SF₂, according to the VSEPR model, is bent. This is due to the presence of lone pairs of electrons in addition to the bonded fluorine atoms, forming a trigonal planar arrangement with a vertex missing.
Step-by-step explanation:
Using the Valence Shell Electron Pair Repulsion (VSEPR) model, the molecular geometry of the central atom in SF₂ is bent. This shape is due to the electron pairs surrounding the central sulfur atom. Similar to H₂S and SO₂, which both have bent geometries, SF₂ has two bonded atoms (the fluorine atoms) and one or more lone pairs of electrons on the sulfur atom. The geometry can be envisioned as a trigonal planar arrangement with a vertex missing, which is where the lone pair resides, giving it a bent or V-shaped structure.