Both Uses

correspond
in
A Room of One's Own
(Auto-generated)

But the sight of the two people getting into the taxi and the satisfaction it gave me made me also ask whether there are two sexes in the mind corresponding to the two sexes in the body, and whether they also require to be united in order to get complete satisfaction and happiness?†
Chpt 6 *

corresponding = connected or fitting together by being equivalent, proportionate, or matched
And since a novel has this correspondence to real life, its values are to some extent those of real life.†
Chpt 4

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)