Impeaches rhymes with:
peaches, speeches, beach's, beaches, peaches, reaches, speeches, teaches, agache's, agaches, aldrich's, approaches, arches, backstitches, batches, beach's, beaches, blotches, blowtorches, branches, britches, bunches, catches, church's, churches, clenches, clinches, clutches, ditches, drenches, gerchas, inches, inches', itches, latches, launches, matches, matsch's, mevarach's, mevarachs, nevarach's, notches, patches, peaches, porches, pouches, quenches, ranches, reaches, riches, scratches, sketches, speeches, stretches, swatches, switches, teaches, touches, watches, witches
Impeaches sounds like:
ianovski, impasse, impeach, impious, impish, impose, imposes, infuse, infuses, inhofe's, innopac, invesco, invesco's, invoice, invoices, invoke, invokes