All 3 Uses of

correspond
in
Unbroken, by Hillenbrand

Louie had a rare biomechanical advantage, hips that rolled as he ran; when one leg reached forward, the corresponding hip swung forward with it, giving Louie an exceptionally efficient, seven-foot stride.
p. 17.1 *

corresponding = matching

By the spring of 1944, the mothers of the Green Hornet crewmen, as well as other family members, had begun to correspond.
p. 218.5 *

correspond = exchange letters through the mail

Bob Simon, CBS's on-air correspondent for the story, thought that this would probably be his only chance to question Watanabe, so there in the lobby, he began grilling him about his treatment of Louie.
p. 395.6 *

correspondent = reporter

Definitions:

(1) (correspond as in: corresponding time period)
connect or fit together by being equivalent, proportionate, or matched

(Two things are equivalent if they have the same or very similar value, purpose, or result.)
(2) (correspond as in: corresponding by email)
communicate -- typically by writing letters or email

A corresponding secretary is an officer of an organization who is responsible for managing the organization's correspondence and keeping a record of it.
(3) (correspondence as in: a correspondence course)
done from afar

For example, a corresponding member or a correspondence course.

This sense of corresponding arose because people who lived in distant cities and could not be present for meetings, could communicate by sending written communications.
(4) (correspondent as in: foreign correspondent of the paper)
a reporter or other representative -- typically from a foreign country or with a particular expertise