Question

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

Explanation:

Step1: Find the change in x - coordinates

Let's assume a general point \((x,y)\) on \(\overline{CD}\). To find the change in the x - coordinate, we look at the horizontal movement from a point on \(\overline{CD}\) to its corresponding point on \(\overline{C'D'}\). If we consider the x - coordinates of corresponding points, for example, if we assume a point on \(\overline{CD}\) and its translated point on \(\overline{C'D'}\), we see that the x - coordinate of a point on \(\overline{C'D'}\) is 8 units more than the x - coordinate of the corresponding point on \(\overline{CD}\). So the change in the x - coordinate \(\Delta x=8\).

Step2: Find the change in y - coordinates

To find the change in the y - coordinate, we look at the vertical movement from a point on \(\overline{CD}\) to its corresponding point on \(\overline{C'D'}\). The y - coordinate of a point on \(\overline{C'D'}\) is 10 units more than the y - coordinate of the corresponding point on \(\overline{CD}\). So the change in the y - coordinate \(\Delta y = 10\).

Answer:

\((x,y)\to(x + 8,y + 10)\)