Ideologies rhymes with:
etiologies, anthologies, apologies, biology's, biotechnologies, biotechnology's, chronologies, doxologies, electrobiology's, etiologies, methodologies, otologies, pathologies, polytechnologies, technologies, technologies', technology's
Ideologies sounds like:
ideal's, idealize, idealizes, ideals, ideologue, ideologues, ideology, idles, idolize, idolizes, idols, idyllic, italic, italics, italish, italy's