Are the placenta and umbilical cord the same thing?

No, they are not. The umbilical cord is an actual cord that connects the baby to the placenta. The placenta is the lining of the uterus that is developed over the course of the pregnancy. The placenta is a "filter" through which the baby's food and oxygen is delivered via the umbilical cord. Once the baby is born, the umbilical cord is clipped and severed. The final, 3rd stage of labor, is the passing of the placenta. That happens 15-30 minutes after the baby is born. The placenta is then checked thoroughly, to ensure that is in intact, and that no pieces are left behind in the uterus. This is VERY important, because if any of the placenta is left in the uterus, it will cause an infection, high fever, can lead to infertility. If not removed, the outcome can be lethal.