Question

△hij is a translation of △hij. write the translation rule.
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Explanation:

Step1: Find the horizontal translation

Take a point, say \(H(0,-9)\) and \(H'(-9,4)\).
The horizontal change: \(-9 - 0=-9\). Since the rule is \((x,y)\to(x - a,y + b)\), and \(x-9=x - a\), so \(a = 9\).

Step2: Find the vertical translation

The vertical change: \(4-(-9)=13\). Since the rule is \((x,y)\to(x - a,y + b)\), and \(y + 13=y + b\), so \(b = 13\).

Answer:

\((x,y)\to(x - 9,y + 13)\)