To pass the gods name test on Poptropica on Mythology Island, you must first know all the names of the gods.
The names of the gods you need to know to pass the god name test are:
Here is a short video clip of somebody completing the gods name test:
A bit more about the god test
You'll need to head over to the Temple of Poseidon, and you'll need to use a starfish to open it. Once inside, you'll find yourself on a beach. Keeping on moving and go to Aphrodite for help.
At this point, she'll decide to test your knowledge of the gods names to help her decide if you're worthy of her help! Input all the names listed above and you will successfully pass her test, and gain that much needed mirror.
Above is a full video walkthrough of the island, to help guide you through any more tricky spots!