Question

write a rule for the translation of △lmn to △lmn. (x,y)→(□,□)

Explanation:

Step1: Analyze horizontal movement

Count the number of units the points move horizontally. Point $M(4, 2)$ moves to $M'(- 2,4)$. The $x$ - coordinate of $M$ changes from $4$ to $-2$. The change in the $x$ - coordinate is $-2 - 4=-6$.

Step2: Analyze vertical movement

The $y$ - coordinate of $M$ changes from $2$ to $4$. The change in the $y$ - coordinate is $4 - 2 = 2$.

Answer:

$(x,y)\to(x - 6,y + 2)$