Step 1: Analyze Compound Geometries
- A. \( NH_3 \) (Ammonia):
- Structure: Trigonal pyramidal.
- Central atom: Nitrogen, bonded to three hydrogen atoms and possessing one lone pair.
- B. \( BrF_5 \) (Bromine Pentafluoride):
- Geometry: Square pyramidal.
- Central atom: Bromine, bonded to five fluorine atoms and possessing one lone pair.
- C. \( XeF_4 \) (Xenon Tetrafluoride):
- Geometry: Square planar.
- Central atom: Xenon, bonded to four fluorine atoms and possessing two lone pairs.
- D. \( SF_6 \) (Sulfur Hexafluoride):
- Geometry: Octahedral.
- Central atom: Sulfur, surrounded by six fluorine atoms.
Step 2: Match Compounds to Geometries
- A-I: \( NH_3 \) corresponds to trigonal pyramidal geometry.
- B-IV: \( BrF_5 \) corresponds to square pyramidal geometry.
- C-II: \( XeF_4 \) corresponds to square planar geometry.
- D-III: \( SF_6 \) corresponds to octahedral geometry.
Step 3: Conclusion
The established matches are:
A-I, B-IV, C-II, D-III