Question

quadrilateral defg is a translation of quadrilateral defg. write the translation rule.
(x,y)→(x+□,y+□)

Explanation:

Step1: Determine horizontal shift

Pick a point, say $D$. Original $D$ has $x -$coordinate around $- 4$ and new $D'$ has $x -$coordinate around $4$. The change in $x$ is $4-(-4)=8$. So the horizontal shift is $x+8$.

Step2: Determine vertical shift

Original $D$ has $y -$coordinate around $-6$ and new $D'$ has $y -$coordinate around $1$. The change in $y$ is $1 - (-6)=7$. So the vertical shift is $y + 7$.

Answer:

$(x,y)\to(x + 8,y+7)$