What are the coordinates of the image of r for a dilation with center (0,0) and a scale factor of 1/3
a) (1, -2/3)
b) (9, -6)
c) (2, -1/3) (1, 4/3)

 The correct option is (A)

Step-by-step explanation:  We are given to find the co-ordinates of the image of the point R for a dilation with center (0, 0) and a scale factor of

We can see from the given figure that

the co-ordinates of the point R are (3, -2).

Since the figure PQR is dilated  with center of dilation as origin (0, 0), so the co-ordinates of the image of point R will be one-third of the co-ordinates of the point R.

Therefore, the co-ordinates of the image of R are

Thus, the co-ordinates of the image of point R are .

Option (A) is CORRECT.