Question

question: the image of the point (8, 1) under a translation is (9, 2). find the coordinates of the image of the point (5, 5) under the same translation.

Explanation:

Step1: Find the translation rule

The original point is $(8,1)$ and its image is $(9,2)$. The change in $x$-coordinate is $\Delta x=9 - 8=1$, and the change in $y$-coordinate is $\Delta y=2 - 1 = 1$.

Step2: Apply the translation rule to the new - point

For the point $(5,5)$, add the change in $x$ and $y$ coordinates. The new $x$-coordinate is $x=5+\Delta x=5 + 1=6$, and the new $y$-coordinate is $y=5+\Delta y=5 + 1=6$.

Answer:

$(6,6)$