General synonyms:
* Identical
* Equal
* Matching
* Similar (in some contexts, but not always)
* Coincident
* Superimposable
More specific synonyms (depending on the field):
* Isomorphic (in mathematics)
* Equivalent (in logic or mathematics)
* Harmonious (in a metaphorical sense)
* Compatible (in a general sense)
The best synonym to use will depend on the specific meaning of "congruent" in the context.