Final answer:
Roe v. Wade, a landmark Supreme Court case, legalized a woman's right to have an abortion in the United States using the right to privacy as its basis.
Step-by-step explanation:
The Supreme Court case that legalized a woman's right to have an abortion in the United States is Roe v. Wade. In this case, the Court ruled that a woman's right to privacy, protected by the 14th Amendment, includes the right to have an abortion. The decision established a framework for regulating abortions based on the fetus's viability and the stage of pregnancy.