Final answer:
The birth dates of Jesus and Mithras are both traditionally associated with December 25th due to historical and cultural syncretism, not because of documented historical evidence of their actual birth dates.
Step-by-step explanation:
When comparing the birth dates of Jesus and Mithras, it is important to understand that the traditional date of December 25th for the celebration of Jesus's birth, known as Christmas, was chosen by the Christian church to align with existing pagan festivals, particularly the festival of the sun god Sol Invictus. This date does not have a scriptural basis for Jesus's actual birth date, which remains unknown. In the case of Mithras, a deity with Persian origins that became popular in the Roman Empire, the association with December 25th is also tied to the wider context of solstice celebrations; however, there is no specific historical evidence confirming December 25th as Mithras's birthday. In academic discussions, it has been noted that elements from different traditions, including Mithraism, have intermingled with Christian practices, especially as the Roman Empire transitioned towards Christianity.
Considering this information, the correct answer to the similarities between the birth dates of Jesus and Mithras would be Option 2: Neither born on December 25th. The December 25th celebration date for both figures is more about historical and cultural syncretism than about the documented birthdays for either Jesus or Mithras.