The correct response to describe the particles of water as the liquid water actively boils is:
The particles will have the same average kinetic energy and the same temperature during boiling.
During the boiling process, the temperature of the water remains constant at the boiling point (100°C) while the water is converting to steam. The energy supplied is used to overcome intermolecular forces rather than increasing the temperature, which results in particles having the same average kinetic energy throughout the boiling process.