Reasserting rhymes with:
asserting, asserting, disconcerting, inserting, alerting, asserting, averting, converting, disconcerting, diverting, exerting, flirting, herting, hurting, inserting, perverting, reverting, shirting, skirting, spurting, squirting, subverting
Reasserting sounds like:
recording, recordings, recreating, recruiting, regarding, regretting, resorting