Geometries rhymes with:
asymmetries, asymmetries, toiletries, asymmetries, chartres, countries, countries', country's, descarpentries, entries, industries, industries', industry's, ministries, ministry's, pastries, petrie's, pleasantries, registries, sentries, tapestries, toiletries
Geometries sounds like:
ganders, genders, gendrisek, gendrisek's, geocentric, geometric, geometrics