Final answer:
The case that allowed a woman to obtain an abortion after the first trimester for reasons including physical or psychological health, on the same day as Roe vs. Wade, is Doe vs. Bolton.
Step-by-step explanation:
On the same day as Roe vs. Wade, the case that stated that a woman could secure an abortion after the first trimester if it endangered her health physically or psychologically is a. Doe vs. Bolton. This 1973 Supreme Court decision was handed down alongside Roe v. Wade, deepening the legal framework for abortion in the United States. Under the decision in Doe vs. Bolton, states were required to consider the broad range of factors that could affect the health of the woman, including physical, emotional, psychological, and familial factors, as well as the woman's age, when deciding whether an abortion could be denied after the first trimester, thus expanding the circumstances under which a woman could legally have an abortion.