Let's define each type of halide and then match it with the given examples. Definitions: Vinyl Halide: A compound in which the halogen atom (X) is directly attached to an sp2 hybridized carbon atom of an alkene. The general structure is R−CH=CX−R ' or R2C=CX−R′. Allyl Halide: A compound in which the halogen atom (X) is attached to an sp3 hybridized carbon atom that is adjacent to a carbon-carbon double bond (an allyl group). The general structure is R−CH=CH−CH2−X. Benzyl Halide: A compound in which the halogen atom (X) is attached to an sp3 hybridized carbon atom that is directly attached to an aromatic ring (a benzyl group). The general structure is Ar−CH2−X. The carbon bearing the halogen can be primary, secondary, or tertiary. Aryl Halide: A compound in which the halogen atom (X) is directly attached to an sp2 hybridized carbon atom of an aromatic ring. The general structure is Ar−X. Matching the Examples: (A) Vinyl Halide: (III) 1-bromo-3-methylcyclohexene: In this molecule, the double bond can be assumed to be between C 1 and C 2 . If the bromine is at C 1 , then C 1 is part of the double bond ( sp2 hybridized). Thus, it's a vinyl halide. Match: A - (III) (B) Allyl Halide: (IV) 3-bromo-4-methylcyclohexene: If the double bond is between C 1 and C 2 , then C 3 is an sp3 hybridized carbon adjacent to the double bond. If bromine is at C 3 , it is attached to an allylic carbon. Match: B - (IV) (C) Benzyl Halide: (I) 1-bromo-1-phenylethane: The structure is C6H5−CH(Br)−CH3. The carbon bearing the bromine is an sp3 hybridized carbon atom and is directly attached to the phenyl group (an aromatic ring). This is a secondary benzyl halide. Match: C - (I) (D) Aryl Halide: (II) 3-bromotoluene: The structure is CH3−C6H4−Br (meta-bromotoluene). The bromine atom is directly attached to one of the sp2 hybridized carbon atoms of the benzene ring. Match: D - (II) Summary of Matches: A - III B - IV C-I D - II Comparing this with the given options, Option B is the correct answer.