Step 1: Read the description.
We need a feature that is a deep valley cutting across the continental shelf and continental slope.
Step 2: Look at seamounts and guyots.
These are underwater mountains and flat-topped hills, not valleys, so they do not match.
Step 3: Look at atolls and reefs.
These are coral structures near the surface, again not deep cut valleys.
Step 4: Look at mid-oceanic ridges.
These are long raised mountain chains on the ocean floor, not cut-in valleys.
Step 5: Identify the valley feature.
Submarine canyons are steep V-shaped valleys carved into the shelf and slope, usually seaward of big rivers.
Step 6: State the answer.
Hence the deep valleys cutting across the shelf and slope are submarine canyons.
\[ \boxed{\text{Submarine Canyons}} \]