Step 1: Understand the structure of BF\(_3\).
BF\(_3\) has three bonding pairs of electrons and no lone pairs on the central boron atom.
Since there are three bonding pairs and no lone pairs, the molecule adopts a trigonal planar geometry.
Step 2: Identify the hybridization.
In trigonal planar geometry, the central atom undergoes sp\(^2\) hybridization to form three sigma bonds with the fluorine atoms.
Step 3: Conclusion.
The shape of BF\(_3\) is planar, and the hybridization of the central atom is sp\(^2\).