When a dragon, in polymorphed form mates with another creature, the union sometimes produces halfdragon offspring. A creature might also transform into a half-dragon as a result of a mad wizard's spell or a ritual bath in dragon's blood. In all these cases, the result is a creature that combines the essence of a dragon with the form of its original race. Regardless of their origins, all half-dragons have similar features and appearance, gaining special senses, resistance to destructive energy, and a breath weapon.
D&D Monster Manual 5e, p.180
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