As a White Dwarf Evolves, the Direction of Its Motion

As a white dwarf evolves, the direction of its motion on the Hertzsprung-Russell diagram below the main sequence is upper right to lower left, which means that:

A) its size must be increasing; therefore, its luminosity is also increasing.
B) the release of gravitational energy heats the star as it shrinks, and it will die as a hot but very small star.
C) its size or radius remains constant as it cools and becomes less luminous.
D) it shrinks as it cools, becoming a cold neutron star.

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