Bokan Mountain, Alaska.
What is the difference between "mountain", "hill", and "peak"; "lake" and "pond"; or "river" and "creek?"
There are no official definitions for generic terms as applied to geographic features. The Geographic Names Information System (GNIS) utilizes 43 broad categories of feature classes defined solely to facilitate retrieval of entries with similar characteristics. Go to GNIS Domestic Names Feature Classes to see the full list.
These categories generally match dictionary definitions, but not always. The differences are thematic and highly subjective. For example, a lake is classified in the GNIS as a "natural body of inland water”, which is a feature description that can also apply to a reservoir, a pond, or a pool. All "linear flowing bodies of water" are classified as stream in GNIS. At least 121 other generic terms fit this broad category, including creek, river, run, fork, etc. Some might contend that a creek must flow into a river, but such hierarchies do not exist in the nation's lexicon. Similarly, the BGN does not have an official definition of hill, mountain, peak. In summary, there are no official feature classification standards.
Learn More: Geographic Names FAQs
Related
Is there a list of mountain peak elevations in the United States?
What is the Geographic Names Information System (GNIS)?
How can I acquire or download Geographic Names Information System (GNIS) data?
How can I name an unnamed natural feature?
How can I propose a name change for a natural feature?
Does the Geographic Names Information System database contain entries for obsolete names and geographic features that no longer exist?

Lassen Peak viewed from the south at the summit of Brokeoff Volcano, Lassen Volcanic National Park.
Lassen Peak viewed from the south at the summit of Brokeoff Volcano, Lassen Volcanic National Park.

Glacier Peak volcano, Washington reflected in pond below the Whitechuck Glacier, view from the south in late summer.
Glacier Peak volcano, Washington reflected in pond below the Whitechuck Glacier, view from the south in late summer.
The National Map - geographic names
Elevations and Distances
Related
Is there a list of mountain peak elevations in the United States?
What is the Geographic Names Information System (GNIS)?
How can I acquire or download Geographic Names Information System (GNIS) data?
How can I name an unnamed natural feature?
How can I propose a name change for a natural feature?
Does the Geographic Names Information System database contain entries for obsolete names and geographic features that no longer exist?
Bokan Mountain, Alaska.

Lassen Peak viewed from the south at the summit of Brokeoff Volcano, Lassen Volcanic National Park.
Lassen Peak viewed from the south at the summit of Brokeoff Volcano, Lassen Volcanic National Park.

Glacier Peak volcano, Washington reflected in pond below the Whitechuck Glacier, view from the south in late summer.
Glacier Peak volcano, Washington reflected in pond below the Whitechuck Glacier, view from the south in late summer.