Geometrics rhymes with:
econometrics, econometrics, metrics, econometrics, metrics, obstetrics, alphametrics, beatrix, datametrics, eccentrics, econometrics, electric's, electrics, geriatrics, matrix, metrics, novametrix, obstetrics, patrick's, patricks, pediatrics, theatrics
Geometrics sounds like:
ganders, genders, gendrisek, gendrisek's, geocentric, geometric, geometries