Question

1. △abc is a translation of △abc. write the translation rule using coordinate - notation. (x,y)→□

Explanation:

Step1: Observe horizontal shift

Count the number of units a point moves horizontally. For example, if we take a point on $\triangle ABC$ and its corresponding point on $\triangle A'B'C'$, we see that the points move 3 units to the left. In coordinate - notation, a left - shift of $h$ units means subtracting $h$ from the $x$ - coordinate. Here $h = 3$, so the change in $x$ is $x-3$.

Step2: Observe vertical shift

Count the number of units a point moves vertically. The points move 4 units up. In coordinate - notation, an up - shift of $k$ units means adding $k$ to the $y$ - coordinate. Here $k = 4$, so the change in $y$ is $y + 4$.

Answer:

$(x,y)\to(x - 3,y + 4)$