Step 1: Identify compound (A).
\[
H_2C=CHCH_2Cl
\]
contains an allyl group attached to chlorine.
Therefore,
\[
(A)\rightarrow(I)
\]
\[
{\text{Allyl chloride}}
\]
Step 2: Identify compound (B).
\[
CH_3CHCl_2
\]
contains two chlorine atoms attached to the same carbon atom.
This is called ethylidene chloride.
\[
(B)\rightarrow(IV)
\]
Step 3: Identify compound (C).
\[
ClCH_2CH_2Cl
\]
is 1,2-dichloroethane.
Its common name is ethylene dichloride.
\[
(C)\rightarrow(II)
\]
Step 4: Identify compound (D).
\[
H_2C=CHCl
\]
is chloroethene.
Its common name is vinyl chloride.
\[
(D)\rightarrow(III)
\]
Step 5: Write final matching.
\[
(A)-(I),\ (B)-(IV),\ (C)-(II),\ (D)-(III)
\]
Hence,
\[
{\text{Option (A)}}
\]