Step 1: Understanding Plate Boundaries.
A trench is typically formed at a convergent plate boundary, where two tectonic plates move toward each other, resulting in subduction.
Step 2: Analyzing the options.
(A) divergent plate boundary: Trenches do not form at divergent boundaries; these boundaries are characterized by the moving apart of tectonic plates.
(B) convergent plate boundary: Correct — Trenches are formed where one plate is subducted beneath another at a convergent boundary.
(C) transform boundary: Transform boundaries involve horizontal movement of plates and do not create trenches.
(D) passive margin: Passive margins are typically stable regions where no major tectonic activity, like trench formation, occurs.
Step 3: Conclusion.
The correct answer is (B) convergent plate boundary, where trenches are commonly found due to subduction zones.