Undertakes rhymes with:
overtakes, homestake's, outtakes, overtakes, sweepstakes, backaches, cupcakes, earthquake's, earthquakes, freshbake's, fruitcakes, handshakes, headaches, heartbreaks, homestake's, hotcakes, interlake's, keepsakes, namesakes, outbreaks, outtakes, overtakes, pancakes, rattlesnakes, snowflakes, sweepstakes
Undertakes sounds like:
underdog, underdogs, undertake, undertook, undertows, underwoods, underwrites, unitrode's, untruths