Final answer:
The commonalities between the Gorgon's Head and Medusa's tale include her monstrous transformation, the power to petrify, and Perseus's quest to defeat her, which is depicted in various artworks and cultural references.
Step-by-step explanation:
The similarity between the story of the Gorgon's Head and the real story of Medusa lies in the transformation of Medusa into a monster by Athena as punishment. In both stories, Medusa is depicted with snakes for hair and the power to turn anyone who looks at her to stone. Similarly, Perseus's quest to slay Medusa, aided by divine gifts like sandals, a cap for invisibility, and a special sword, is a common thread. Statuary and artwork like Cellini's Perseus Holding the Head of Medusa frequently depict this narrative showing Perseus with the head of Medusa, illustrating his triumph over the Gorgon and his anthropomorphic heroic features contrasted against Medusa's monstrous form. Commentaries on works involving Medusa commonly reflect on the symbolic meanings of her story and the cultural significance which persists to this day, with even celestial objects like the star Algol drawing connections to her ill-fated legend.