Question

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

Explanation:

Step1: Find the change in x - coordinate

Let's assume a general point \((x,y)\) on \(\overline{GH}\) and its corresponding point \((x',y')\) on \(\overline{G'H'}\). To find the change in the x - coordinate, we can look at the horizontal movement. For example, if we consider the x - coordinates of corresponding points of \(G\) and \(G'\) or \(H\) and \(H'\). By observing the graph, we see that the horizontal movement from any point on \(\overline{GH}\) to the corresponding point on \(\overline{G'H'}\) is \(+ 8\). So the change in the x - coordinate \(\Delta x=x' - x=8\).

Step2: Find the change in y - coordinate

To find the change in the y - coordinate, we look at the vertical movement. By observing the graph, the vertical movement from any point on \(\overline{GH}\) to the corresponding point on \(\overline{G'H'}\) is \(+ 10\). So the change in the y - coordinate \(\Delta y=y' - y = 10\).

Answer:

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