Concept:
In passive voice, the object of the active sentence becomes the subject of the passive sentence.
Active sentence:
\[
\text{Why did you break the stick?}
\]
Here, the object is
\[
\text{the stick}
\]
Step 1: Identify tense.
The active sentence uses simple past tense:
\[
did + V_1
\]
So the passive voice structure is:
\[
was/were + V_3
\]
Step 2: Convert object into subject.
\[
\text{the stick}
\]
becomes the subject.
Since stick is singular, use
\[
was
\]
Step 3: Use past participle of break.
\[
break \rightarrow broken
\]
So the passive form is:
\[
\text{Why was the stick broken by you?}
\]
Step 4: Final answer.
\[
\boxed{\text{Why was the stick broken by you?}}
\]
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