Answer:
Since the translation has shifted the point (8,1) to (9,2), we can determine the displacement vector between these two points as:
(9,2) - (8,1) = (1,1)
This vector represents the amount and direction of the translation. To find the image of the point (5,5) under the same translation, we need to add this vector to the coordinates of the point:
(5,5) + (1,1) = (6,6)
Therefore, the image of the point (5,5) under the same translation is (6,6).