Question

quadrilateral uvwx is a translation of quadrilateral uvwx. write the translation rule.
(x, y) ↦ (x + \square, y + \square)

Explanation:

Step1: Find the change in the x - coordinate

Take a point, say \(U\). Let the coordinates of \(U\) be \((x_1,y_1)\) and of \(U'\) be \((x_2,y_2)\). Suppose \(U(- 4,-5)\) and \(U'(4,3)\).
The change in the x - coordinate \(\Delta x=x_2 - x_1=4-(-4)=8\).

Step2: Find the change in the y - coordinate

The change in the y - coordinate \(\Delta y=y_2 - y_1=3-(-5)=8\).

Answer:

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