Final answer:
The 13th, 14th, and 15th Amendments banned slavery, established citizenship and rights including due process and equal protection, and granted suffrage to black Americans, respectively.
Step-by-step explanation:
The amendments that banned slavery, declared all persons born or naturalized in the U.S. to be citizens, established due process and equal protection under the law, and established suffrage for black Americans are the 13th, 14th, and 15th Amendments.
The Thirteenth Amendment abolished slavery in the United States. Following this, the Fourteenth Amendment granted citizenship to all persons born or naturalized in the United States and included clauses for due process and equal protection under the law, significantly impacting civil liberties and rights.
Finally, the Fifteenth Amendment was ratified to guarantee the right to vote for black males, however, various discriminatory practices continued to prevent full exercise of this right well into the 20th century.