Question

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

Explanation:

Step1: Analyze horizontal movement

Count the number of units $\triangle LMN$ moves horizontally. Point $M$ at $x = - 5$ moves to $M'$ at $x=-2$. The change in $x$ - coordinate is $-2-(-5)=3$. So, the horizontal movement is 3 units to the right.

Step2: Analyze vertical movement

Count the number of units $\triangle LMN$ moves vertically. Point $N$ at $y=-5$ moves to $N'$ at $y = - 2$. The change in $y$ - coordinate is $-2-(-5)=3$. So, the vertical movement is 3 units up.

Answer:

$(x,y)\to(x + 3,y + 3)$