Here's what rhymes with conapt.
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matched snatched hatched thatched patched attached detached grabbed scratched stabbed despatched dispatched mast mat mashed massed that fact last passed past fast sat cast fat vast cat hat laughed packed rat shaft backed caste dashed hast lacked bat chat pact shalt tact camped cant chant enact gasped lashed masked pat raft smashed amassed damped hacked lapsed racked sacked smacked tacked tat vat impact plant attacked flat grant craft draft tract blast collapsed graft grasped intact react classed cracked danced draught elapsed flashed ranked stamped taxed thanked chanced clamped clasped cramped crashed encamped harassed scant slant spat stacked staffed tracked waxed aghast banked canst clashed slashed stat yanked exact attract enhanced glanced interact counteract financed surpassed branched flanked implant caveat recast relapsed repast splashed unsurpassed advanced extract relaxed habitat artifact detract overcast retract supplant thermostat transact abstract diplomat distract subtract democrat enthusiast handicraft transplant photographed mimeographed telegraphed aristocrat