\( \triangle B^{\prime} C^{\prime} D^{\prime} \) is a translation of \( \triangle B C D \). Write the translation rule.
\[
(x, y) \mapsto(x+\square, y+\square)
\]
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Translations: find the coordinates
Lesson: Translations
Answer
The translation rule is \((x, y) \mapsto (x + a, y + b)\), where \(a\) and \(b\) are the horizontal and vertical translation distances, respectively.
Step 1 ：Write the given translation rule as \((x, y) \mapsto (x + a, y + b)\).
Step 2 ：Clearly state that \(\triangle B^{\prime} C^{\prime} D^{\prime}\) is a translation of \(\triangle B C D\).
Step 3 ：The translation rule is \((x, y) \mapsto (x + a, y + b)\), where \(a\) and \(b\) are the horizontal and vertical translation distances, respectively.
