Accoring to the book that River Song gives the Doctor, "The image of an Angel, is itself an Angel" ie, the video image taken by River on the Byzantium and the image in Amy's mind. However, we do not know if reflections in mirrors count as images, otherwise, there would probably be numerous Angels from reflections in windows. If the mirror simply counts as a reflection and does not create another Angel, then it would not turn them to stone, as they would just be looking at themselves.

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