Match each of the following four compounds with one of the compounds $A-D$ on the basis of the following experimental facts. Compounds $A, B,$ and $C$ are optically active, but compound $D$ is not. Compound $C$ gives the same products as compound $D$ on treatment with periodic acid, but compound $B$ gives a different product. Compound $A$ does not react with periodic acid.
(1) $(2 S, 3 S)-2,4$ -dimethoxy-1,3-butanediol
(2) meso-1,4-dimethoxy-2,3-butanediol
(3) $(+)-1,4$ -dimethoxy-2,3-butanediol
(4) $(2 R, 3 R)-3,4$ -dimethoxy-1,2-butanediol