Cycle = one lap between the the cycle markers. If in loop record mode, it will flip back to the left locator starting a new “Lap”.
Take = One completed lap
Active Take = the last completed Take. Previous takes will be muted.
Cycle and Lap can be interchanged a bit, but cycle is more about the mode “cycle mode”, where a lap describes the process of hitting the end of the cycle and starting over. The result of a lap is a take.