The correct option that describes the particles of water as liquid water actively boils is:
the particles will have the same average kinetic energy and the same temperature during boiling.
During boiling, all the particles of water that are at the boiling point have a constant temperature, and although individual particles may have varying kinetic energies, the average kinetic energy remains the same across the liquid. This is because the heat energy that is added at boiling point goes into transforming the liquid into vapor, rather than increasing the temperature of the liquid.