Given the diagrams attached in the question, we can conclude that Ciara is correct in her prediction of the lunar cycle.
Ciara is correct in her prediction given that if the moon should be in this position, on the far side of the earth in relation to the sun, it would appear, when viewed from earth, to be completely dark. The reason behind this is that the moon does not have an internal light source. What this means is that the moon, much like the earth and unlike the sun, cannot generate light on its own.
Therefore, the light that we see when looking at the moon from the Earth is actually just reflected sunlight bouncing off the surface of the moon. The diagram shows that the moon is on the far side of the Earth in relation to the sun, meaning that in this case, the Earth would block most if not all of the light from reaching the moon, giving it a dark appearance.
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