Intersecting rhymes with:
dissecting, affecting, collecting, connecting, correcting, defecting, deflecting, detecting, directing, disconnecting, disrespecting, dissecting, effecting, ejecting, electing, erecting, expecting, infecting, injecting, inspecting, neglecting, objecting, perfecting, projecting, prospecting, protecting, recollecting, reconnecting, redirecting, reelecting, reflecting, rejecting, respecting, resurrecting, selecting, subjecting, suspecting, unsuspecting
Intersecting sounds like:
interacting, interactions, interceding, interesting, interjections, interrogating, interrogations, intersections