Why is it that we can sometimes see half a moon or quarter a moon

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Why can we sometimes see the moon in the daytime?

Astronomy Without a Telescope

half moon

Why does the moon appear half, one quarter, and full sometimes? - Quora

Why can I see the whole moon during various non-full-moon phases? - Astronomy Stack Exchange

The Earth Moon System

When Will the Moon Rise Tonight?, Calculate Moonrise Times

What is the difference between a wolf moon and a blood moon? - Quora

Why Can You See the Moon During the Day?