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

Part 1: Lunar Phases Imaging the Universe - The University of Iowa

Lecture 8: The Phases of the Moon

How to Tell Whether the Moon Is Waxing or Waning: 9 Steps

Aside of the moon is a round object, how come/what makes us see it as a half moon or as a banana shape? - Quora

Why do we see two moons in the sky sometimes? - Quora

When is the second quarter of the moon phase? - Quora

Why do we see two moons in the sky sometimes? - Quora

i.stack.imgur.com/EkzCL.jpg

The Crescent Moon: What Causes It to Change Tilt and Direction?

Why is the half moon called the first or last quarter? - Quora

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

Why can we see the Moon during the day?

Why is the moon sometimes full and other times halved? - Quora

Why can the moon sometimes be seen with its shadow horizontal rather than vertical? - Quora