Question

pq is a translation of pq. write the translation rule.

Explanation:

Step1: Determine horizontal change

Count the number of units moved left - right. Assume the original point \(P(x_1,y_1)\) and new point \(P'(x_2,y_2)\). By observing the grid, if we consider a general point, we find the horizontal shift. Let's assume we can find the coordinates. Suppose \(P\) has \(x\) - coordinate \(x_1\) and \(P'\) has \(x\) - coordinate \(x_2\). The horizontal change \(\Delta x=x_2 - x_1\). From the graph, we can see that the figure moves 8 units to the right. So \(\Delta x = 8\).

Step2: Determine vertical change

Count the number of units moved up - down. Let the vertical coordinate of \(P\) be \(y_1\) and of \(P'\) be \(y_2\). The vertical change \(\Delta y=y_2 - y_1\). By observing the graph, the figure moves 12 units up. So \(\Delta y=12\).

Step3: Write the translation rule

The translation rule for a point \((x,y)\) is \((x,y)\to(x + 8,y + 12)\)

Answer:

\((x,y)\to(x + 8,y + 12)\)