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 translation from \((8,1)\) to \((9,2)\) means for the \(x -\)coordinate: \(9-8 = 1\) (add \(1\) to the \(x -\)coordinate), for the \(y -\)coordinate: \(2 - 1=1\) (add \(1\) to the \(y -\)coordinate). The translation rule is \((x,y)\to(x + 1,y + 1)\).

Step2: Apply the translation rule to the point \((5,5)\)

For the \(x -\)coordinate of the point \((5,5)\): \(5+1=6\)
For the \(y -\)coordinate of the point \((5,5)\): \(5 + 1=6\)

Answer:

\((6,6)\)