Question

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

Explanation:

Step1: Find the coordinates of points

First, find the coordinates of \(U\), \(V\), \(U'\), and \(V'\).
Assume \(U(-3,-3)\), \(V(-7,-9)\), \(U'(4,5)\), \(V'(0,-1)\).

Step2: Calculate the change in \(x\) - coordinate

For point \(U\) to \(U'\): \(x\) - coordinate changes from \(-3\) to \(4\). The change \(\Delta x=4 - (-3)=7\).
For point \(V\) to \(V'\): \(x\) - coordinate changes from \(-7\) to \(0\). The change \(\Delta x = 0-(-7)=7\).

Step3: Calculate the change in \(y\) - coordinate

For point \(U\) to \(U'\): \(y\) - coordinate changes from \(-3\) to \(5\). The change \(\Delta y=5-(-3)=8\).
For point \(V\) to \(V'\): \(y\) - coordinate changes from \(-9\) to \(-1\). The change \(\Delta y=-1 - (-9)=8\).

Answer:

\((x,y)\to(x + 7,y + 8)\)