The Collaborative International Dictionary of English v.0.48:

Correspond \Cor`re*spond"\ (k?r`r?-sp?nd"), v. i. [imp. & p. p.
   Corresponded; p. pr. & vb. n. Corresponding.] [Pref. cor-
   + respond: cf. f. correspondre.]
   1. To be like something else in the dimensions and
      arrangement of its parts; -- followed by with or to; as,
      concurring figures correspond with each other throughout.
      [1913 Webster]

            None of them [the forms of Sidney's sonnets]
            correspond to the Shakespearean type. --J. A.
                                                  Symonds.
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   2. To be adapted; to be congruous; to suit; to agree; to fit;
      to answer; -- followed by to.
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            Words being but empty sounds, any farther than they
            are signs of our ideas, we can not but assent to
            them as they correspond to those ideas we have, but
            no farther.                           --Locke.
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   3. To have intercourse or communion; especially, to hold
      intercourse or to communicate by sending and receiving
      letters; -- followed by with.
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            After having been long in indirect communication
            with the exiled family, he [Atterbury] began to
            correspond directly with the Pretender. --Macaulay.

   Syn: To agree; fit; answer; suit; write; address.
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The Collaborative International Dictionary of English v.0.48:

Corresponding \Cor`re*spond"ing\, a.
   1. Answering; conformable; agreeing; suiting; as,
      corresponding numbers.
      [1913 Webster]

   2. Carrying on intercourse by letters.
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   Corresponding member of a society, one residing at a
      distance, who has been invited to correspond with the
      society, and aid in carrying out its designs without
      taking part in its management.
      [1913 Webster]

WordNet (r) 3.0 (2006):

corresponding
    adj 1: accompanying; "all rights carry with them corresponding
           responsibilities"
    2: similar especially in position or purpose; "a number of
       corresponding diagonal points"
    3: conforming in every respect; "boxes with corresponding
       dimensions"; "the like period of the preceding year" [syn:
       comparable, corresponding, like]

Moby Thesaurus II by Grady Ward, 1.0:

118 Moby Thesaurus words for "corresponding":
   accordant, affirmative, agnate, agreeable, agreeing, akin, alike,
   all one, all the same, amicable, anal, analogous, answerable,
   answering, at one, attuned, bourgeois, coequal, coexistent,
   coexisting, coextensive, coherent, coincident, coincidental,
   coinciding, commensurate, comparable, compatible, complemental,
   complementary, compulsive, concordant, concurring, conformable,
   conformist, congenial, congruent, congruous, consentaneous,
   consentient, consistent, consonant, conventional, convertible,
   cooperating, cooperative, coordinate, correspondent, coterminous,
   duplicate, empathetic, empathic, en rapport, equal, equiparant,
   equipollent, equivalent, formalistic, frictionless, harmonious,
   homologous, identical, in accord, in agreement, in concert,
   in keeping, in line, in rapport, in step, in sync,
   in synchronization, in tune, inaccordance, inharmony, kosher,
   like-minded, matching, much the same, of a kind, of a piece,
   of a size, of like mind, of one mind, on all fours, orthodox,
   parallel, paralleling, peaceful, pedantic, plastic, positive,
   precisianistic, proportionate, reciprocal, reciprocative,
   reconcilable, self-consistent, similar, square, straight, stuffy,
   symbiotic, sympathetic, synchronized, synchronous, synonymous,
   tantamount, together, traditionalist, twin, unanimous,
   understanding, undifferentiated, uniform, unisonant, unisonous,
   united, uptight