All 4 Uses

correspond
in
Rebecca, by Daphne du Maurier
(Edited)

We went along a broad, carpeted passage, and then turned left, through an oak door, and down a narrow flight of stairs and up a corresponding flight, and so to another door.
Chpt 7 *

corresponding = matching (similar)
Mrs de Winter always did all her correspondence and telephoning in the morning-room, after breakfast.
Chpt 8 *

correspondence = communication by writing letters
I put it back in the box again, and shut the drawer, feeling guilty suddenly, and deceitful, as though I were staying in somebody else's house and my hostess had said to me, 'Yes, of course, write letters at my desk,' and I had unforgivably, in a stealthy manner, peeped at her correspondence.
Chpt 8

correspondence = written letters
Beatrice and I don't correspond unless there's a major event in the family.
Chpt 12

correspond = exchange letters through the mail

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
(5) (meaning too rare to warrant focus)