These structures represent which particular kind of halides:

The correct option is Allylic halides.

Step-by-Step Explanation:

By analyzing the provided image, we can identify two chemical structures:
• On the left: An acyclic structure where a halogen atom (represented as X) is bonded to a carbon atom adjacent to a carbon-carbon double bond. This structure is:

${\mathrm{CH}}_2=\mathrm{CH}-{\mathrm{CH}}_2-X$

• On the right: A cyclic cyclohexene ring where the halogen atom (X) is attached to the carbon atom immediately adjacent to the double bond (a 3-halocyclohexene ring).

In organic chemistry, the carbon atom that is directly bonded to an sp²-hybridized carbon of a carbon-carbon double bond is called the allylic carbon. This allylic carbon is sp³-hybridized. Halides in which the halogen atom is bonded to an allylic carbon are classified as allylic halides.

Let us compare this with the other options to understand why they are incorrect:
• Alkyl halides: The halogen atom is bonded to a simple sp³-hybridized carbon atom of an alkyl chain that is not adjacent to a double bond or an aromatic ring.
• Benzylic halides: The halogen atom is bonded to an sp³-hybridized carbon atom that is directly attached to an aromatic benzene ring.
• Vinyl halides: The halogen atom is bonded directly to one of the sp²-hybridized carbon atoms of a double bond (i.e., C=C-X).

Since both structures in the image show the halogen atom attached to the carbon next to the double-bonded carbon, they represent allylic halides.