To find the compounds iso-structural with \( \text{SF}_4 \), we need to look for compounds that have the same number of electron pairs and the same geometry.
- \( \text{SF}_4 \) has a trigonal bipyramidal structure with one lone pair in the equatorial plane. This gives it a "see-saw" shape.
- For \( \text{IF}_4^+ \), the structure is also trigonal bipyramidal with a lone pair in the equatorial plane, so it is iso-structural with \( \text{SF}_4 \).
- Similarly, \( \text{BrF}_4^+ \) has a similar structure to \( \text{SF}_4 \) and is also iso-structural.
- \( \text{XeO}_2\text{F}_2 \) does not have the same geometry and electron pair arrangement as \( \text{SF}_4 \), so it is not iso-structural.
- \( \text{CH}_4 \) has a tetrahedral structure, which is different from the trigonal bipyramidal structure of \( \text{SF}_4 \), so it is not iso-structural.
- \( \text{XeF}_4 \) has a square planar structure, which is different from \( \text{SF}_4 \).
Step 1: Conclusion.
The compounds that are iso-structural with \( \text{SF}_4 \) are \( \text{IF}_4^+ \) (A), and \( \text{BrF}_4^+ \) (B). Therefore, the correct option is (C) A & C only.
Final Answer: (C) A & C only