rio grande
Colorado
Yes, it shows in a Colorado Plateau map.
the Colorado river flows through the Rocky Mountains
The Colorado River.
Yes, it created the Canyon.
The flow of the Colorado River.
Hoover Dam
The Colorado River (Texas) runs through Austin. It would not however be confused with a different river network which originates in Colorado, carved out the Grand Canyon and flows into the Sea of Cortez. These rivers are not connected or related in any manner.
The Colorado River passes through the Grand Canyon in the northwest part of Arizona.
The Nile, the Colorado River and the Rio Grande all flow through deserts along much of their routes.
The Colorado River flows through the grand canyon.