Final answer:
PF₃ has a tetrahedral electron geometry and a trigonal pyramidal molecular geometry, determined by the electron pairs' arrangement and the atoms' arrangement with a lone pair causing a shape distortion.
Step-by-step explanation:
The student has asked which of the following has a tetrahedral electron geometry and a trigonal pyramidal molecular geometry: a) Br₂O b) PF₃ c) SO₂ d) GeH₄ e) None of the above.
According to the given reference points, the molecule with a tetrahedral electron-pair geometry and a trigonal pyramidal molecular structure is PF₃. The electron geometry is determined by the arrangement of electron pairs around the central atom, which is tetrahedral in this case, while the molecular geometry considers the actual arrangement of atoms, which for PF₃ is trigonal pyramidal due to the presence of one lone electron pair causing a repulsion that slightly distorts the shape.