During phase changes, such as melting and freezing, the temperature of the substance remains constant while the heat energy is either being absorbed (during melting) or released (during freezing). This is because the energy being added or removed is used to break or form the bonds between molecules rather than to change their kinetic energy (which is what temperature measures).
Therefore, at points B and D on the phase change diagram for water, the correct statement is:
The temperature remains constant and the heat energy is increasing during a phase change.