What are two lines of evidence you could use to indicate that the phases of the Moon are not caused by the shadow of Earth falling on the Moon?

Many people are under the impression the phases originate from the shadow cast on the Moon by Earth. Some think the Moon is changing shape because of clouds. Alternatively, the movement of the Moon based only on its position in relation to Earth and the Sun. The Moon doesn't really create its own light, it actually reflects the light of the Sun, as all the planets do.