Question

△hij is a translation of △hij. write the translation rule.
(x, y) ↦ (x + \square, y - \square)

Explanation:

Step1: Identify coordinates of points

Original points: $H(-5, 3)$, $I(-6, 8)$, $J(-1, 4)$
Translated points: $H'(3, -6)$, $I'(2, -1)$, $J'(8, -5)$

Step2: Calculate horizontal translation

For point $H$: $3 - (-5) = 8$; same for $I$: $2 - (-6) = 8$, $J$: $8 - (-1) = 8$. So $x$ shifts by $+8$.

Step3: Calculate vertical translation

For point $H$: $3 - (-6) = 9$; same for $I$: $8 - (-1) = 9$, $J$: $4 - (-5) = 9$. So $y$ shifts by $-9$.

Answer:

$(x, y) \mapsto (x + 8, y - 9)$