If it's growing, then it's alive and if it's parents are human, then the offspring is human, then same logic should apply to animals too. Chicken's egg would be considered chicken. Vegetarianism is opposition to animal cruelty and exploitation. However, they can eat eggs, but some may not prefer. Eggs and milk are considered vegetarian foods because they do not involve the direct slaughter of animals. The yolk and white are nutrients for a potential embryo.