Intersected rhymes with:
defected, deflected, dejected, disaffected, disconnected, disrespected, ejected, inspected, interconnected, interjected, misdirected, recollected, reconnected, redirected, rejected, respected, resurrected, subjected, unaffected, uncollected, unconnected, uncorrected, undetected, unelected, unexpected, uninfected, unprotected, unsuspected
Intersected sounds like:
indirect, interact, interacted, intercede, interceded, intercity, interest, interested, interject, interjected, interrogate, interrogated, intersect, interstate, intourist, intrastate, intrawest, intricate, intrigued