Question

square rstu is a translation of square rstu. write the translation rule. (x, y) → (x - □, y - □)

Explanation:

Step1: Determine horizontal translation

Count the number of units the square moves horizontally. Starting from a point on the original square (e.g., point S(2,5)) and its corresponding point S'(- 6,-5), the x - coordinate changes from 2 to - 6. The change in the x - coordinate is \(2-(-6)=8\) units to the left. So the horizontal translation is \(x\to x - 8\).

Step2: Determine vertical translation

Count the number of units the square moves vertically. Using the same points S(2,5) and S'(-6,-5), the y - coordinate changes from 5 to - 5. The change in the y - coordinate is \(5-(-5)=10\) units down. So the vertical translation is \(y\to y - 10\).

Answer:

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