Which of the following states shares a border with Mexico?

New Mexico shares a border with Mexico, making it the correct response to the question. Located in the southwestern region of the United States, New Mexico has a significant boundary with Mexico that measures approximately 180 miles. This border is characterized by various landscapes, including deserts and mountains, and plays an important role in trade and cultural exchange between the two nations.

In contrast, the other states listed do not share a border with Mexico. Ohio and Kentucky are located in the Midwest and southeastern regions of the United States, respectively, and are situated far from the southern border. Oregon, located in the Pacific Northwest, is also geographically distant from Mexico. Understanding the geographical locations of these states is crucial for identifying those that directly interact with neighboring countries like Mexico.