If the hemisphere that is 'lit' is facing away from the earth then it is a new moon
crescent moon
During the entire two weeks from First Quarter to Third Quarter, more of the moon's lighted surface faces toward Earth than faces away from it.
The lighted half of the moon is always facing the sun. The entire dark half of the moon is facing earth at the time of "New Moon".
in the new moon, the lighted half of the moon is facing the sun and tha dark side faces the earth.
Not exactly. The lighted side of the moon as seen from Earth is that part that is not shadowed by the Earth.
The moon is in its waning phase when less and less of the side facing the earth is lighted. This phase occurs after the full moon and leads up to the new moon when the side facing the earth is completely dark.
That's the 'Full Moon'.
New moon.
One half of the moon, the side that faces the Sun, is always lighted. But we usually see only part of the lighted side (phases) as the Moon orbits the Earth. When the Moon is directly between the Earth and the Sun (a new moon) none of the lighted side, facing the Sun, is visible from Earth.
This phase is known as the waxing crescent phase of the Moon. During this phase, the Moon appears to grow thicker each night as more of its lighted side becomes visible from Earth.
The moon phase when none of the lighted side can be seen is called a new moon. During this phase, the moon is positioned between the Earth and the Sun, so the side of the moon facing Earth is not illuminated.
That would be Third Quarter.