Question

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

Explanation:

Step1: Find the change in x - coordinate

The x - coordinate of a point in the original figure and its image in a translation changes by the horizontal displacement. For any point on $\overline{CD}$ and its corresponding point on $\overline{C'D'}$, the x - coordinate of the image is 9 units more than the x - coordinate of the pre - image. For example, if we assume a general point $(x,y)$ on $\overline{CD}$, the x - coordinate of the corresponding point on $\overline{C'D'}$ is $x + 9$.

Step2: Find the change in y - coordinate

The y - coordinate of a point in the original figure and its image in a translation changes by the vertical displacement. For any point on $\overline{CD}$ and its corresponding point on $\overline{C'D'}$, the y - coordinate of the image is 15 units more than the y - coordinate of the pre - image. For example, if we assume a general point $(x,y)$ on $\overline{CD}$, the y - coordinate of the corresponding point on $\overline{C'D'}$ is $y+15$.

Answer:

$(x,y)\to(x + 9,y + 15)$