You searched for: “coincide
coincide (verb), coincides; coincided; coinciding
1. To happen or to take place simultaneously, or at the same time, as something else: Elaine's birthday coincides with the celebration of Thanksgiving in Canada, the second Monday of the month of October.

Neighbors Patricia and Karen get along very well with each other because their interests coincide.

2. Etymology: from French coincider (14th century); from Middle Latin coincidere; from Latin co-, "together" + incidere, "to fall upon" (in-, "upon" + cadere, "to fall").
This entry is located in the following unit: cad-, cas-, cid- (page 3)
Word Entries at Get Words: “coincide
coincide
1. To be exactly the same; to occur at the same time.
2. Etymology: from French coincider (14th century), from Middle Latin coincidere (in astrological use); from Latin co-, "together" + incidere, "to fall upon" (in-, "upon + cadere, "to fall").

"They get along very well because their interests coincide."