According to the question, there is a geological site that has some earthquake activity with a mountain range but there's no trenches when a person looks offshore.
This is a type of continental-continental convergent boundary because when two continental plays converge, they collide and become mountains.
The dogg_oflish_arias point file has an undefined coordinate system, although it looks like any other Austin data in NAD 1983 State Plains Texas Central. Dog_offleash_bnd The polygon file is in an unlisted GCS file.
Another answer is the map. Method: Load the arteries in the new map document. Add the DogPoint file, which appears with a warning. Check the coordinate system to make sure it is unleaded and use Define Projection to determine if it matches other Austin data on the state plane. Add an invisible dog polygon file.
Check it to make sure the coordinate system is not labeled and has degrees. Use project define to label it as GCS_NAD_1983, and then it will appear with the rest of the data. It can be projected onto a state plane if desired, but does not require mapping.