Let's evaluate each of the compounds:
1. XeOF₄ – square pyramidal: Xenon oxyfluoride (XeOF₄) has a square pyramidal geometry. It has five bonding pairs of electrons (one oxygen and four fluorine atoms) and one lone pair of electrons on xenon, resulting in a square pyramidal shape.
2. XeO₃ – pyramidal: Xenon trioxide (XeO₃) has a trigonal pyramidal geometry, not a pyramidal shape as indicated. It has three bonding pairs of electrons and one lone pair on xenon, giving it a trigonal pyramidal geometry.
3. XeF₄ – tetrahedral: Xenon tetrafluoride (XeF₄) has a square planar geometry, not tetrahedral. It has four bonding pairs of electrons and two lone pairs on xenon, leading to a square planar structure.
4. XeF₆ – distorted octahedral: Xenon hexafluoride (XeF₆) indeed has a distorted octahedral geometry, due to the presence of lone pairs on xenon.
Thus, the incorrect pair is (B), where the geometry of XeO₃ is trigonal pyramidal, not pyramidal.
XeOF\(_4\): Xenon oxyfluoride has a square pyramidal structure, which is correct.
XeO\(_3\): Xenon trioxide has a pyramidal shape, which is correct.
XeF\(_4\): Xenon tetrafluoride has a square planar geometry, not tetrahedral. Thus, this is the incorrect pair.
XeF\(_6\): Xenon hexafluoride has a distorted octahedral shape, which is correct.
Hence, the incorrectly matched pair is XeF\(_4\) - tetrahedral.
The Valence Shell Electron Pair Repulsion Theory abbreviated as VSEPR theory is based on the premise that there is a repulsion between the pairs of valence electrons in all atoms, and the atoms will always tend to arrange themselves in a manner in which this electron pair repulsion is minimalized.