Engagements rhymes with:
acknowledgements, arrangements, enlargements, infringements, judgements, judgments, management's, managements, managements', misjudgments
Engagements sounds like:
enhancements, enigmatic, enjoyments, enzymatic
acknowledgements, arrangements, enlargements, infringements, judgements, judgments, management's, managements, managements', misjudgments
enhancements, enigmatic, enjoyments, enzymatic