Final answer:
The Gospels of Matthew and Luke describe several events including the Birth of Jesus, Genealogy, Sermon on the Mount/Plain, and Resurrection, providing a foundation for Christian teachings.
Step-by-step explanation:
The Gospels of Matthew and Luke provide various accounts of the life and teachings of Jesus of Nazareth. These narratives, while similar in many respects, contain some unique events exclusive to each. Four such events described in both Matthew and Luke include the Birth of Jesus, the Genealogy of Jesus, the Sermon on the Mount (or the Sermon on the Plain in Luke), and the account of Jesus' Resurrection. Though the Gospels were composed after Jesus' death, their teachings became a cornerstone of Christian traditions and were widely circulated by the early Christian community.
Particularly, the Birth narratives in Matthew and Luke give different perspectives; for example, Matthew includes the visit of the Magi, while Luke includes the annunciation to the shepherds. The Genealogies provided by Matthew and by Luke trace Jesus' lineage, showing his descent from Abraham and King David. The teachings of Jesus, as represented in the Sermon on the Mount by Matthew and the Sermon on the Plain by Luke, emphasize moral principles central to Christian ethics. Lastly, the accounts of Jesus' Resurrection, while harmonious in proclaiming his triumph over death, describe various appearances of Jesus to his disciples.