Concept:
This question focuses on converting a sentence from active to passive voice in the Simple Past tense. The core conversion formula for structural mapping is:
\[
\text{Active: } \text{Subject} + V_2 + \text{Object}
\]
\[
\text{Passive: } \text{Object} + (\text{was / were}) + V_3 + \text{by} + \text{Subject}
\]
Step 1: Deconstruct the active sentence components.
Let us analyze the components of the phrase: "The peon opened the gate."
• Subject: The peon
• Verb: opened ($V_2$, indicating Simple Past Tense)
• Object: the gate
Step 2: Reconstruct the sentence into passive voice.
Let us build the passive sentence step by step:
• Move 'The gate' to the beginning as our new singular subject.
• Because 'The gate' is singular and the sentence is in the past tense, we use the singular past auxiliary verb 'was'.
• The past participle ($V_3$) form of the verb is 'opened'.
• Add the original agent at the end: 'by the peon'.
Combining these parts gives: "The gate was opened by the peon."
Step 3: Cross-verify against the given options.
Let us double-check why the alternative options are incorrect:
• (A) *is opened* incorrectly switches the tense to the present.
• (B) *were opened* incorrectly uses a plural auxiliary verb for a singular subject ('the gate').
• (C) *has opened* changes the tense to the present perfect.
Thus, option (D) is the only grammatically correct selection.