Answer:
The coordinates of the image of the point (6,6) under the same translation is: (9, 2)
Hence, option C is correct.
Explanation:
The image of the point (2, 1) under a translation is (5, -3).
It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).
Thus,
The rule of translation can be formulated such as:
(x, y) → (x + 3, y - 4)
(2, 1) → (2 + 3, 1 - 4) → (5, -3)
Thus,
Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):
(x, y) → (x + 3, y - 4)
(6, 6) → (6 + 3, 6 - 4) → (9, 2)
Therefore, the coordinates of the image of the point (6,6) under the same translation is: (9, 2)
Hence, option C is correct.