Final answer:
The right that only white men who owned property enjoyed was the right to vote. This privilege, known as suffrage, was restricted to white men who met certain qualifications.
Step-by-step explanation:
The right that only white men who owned property enjoyed was the right to vote. This right was known as suffrage, and it was a privilege restricted to white men who met certain qualifications, such as owning property. Women, people of color, and individuals who did not own property were denied this right. It was not until later in history that suffrage was expanded to include all citizens regardless of race, gender, or property ownership.