Step-by-step explanation:
A = (3, 6)
B = (6, 9)
C = (9, 3)
first scaled down (dilated) by the factor of 1/3 in the direction of the origin = point (0, 0).
then moved left by 2 units and down by 3 units.
the dilation about the origin simply multiplies each coordinate by the scale factor.
Ad = (3×1/3, 6×1/3) = (1, 2)
Bd = (6×1/3, 9×1/3) = (2, 3)
Cd = (9×1/3, 3×1/3) = (3, 1)
to move 2 units to the left means to subtract 2 from the x coordinates.
to move 3 units down means to subtract 3 from the y coordinates.
A' = (1-2, 2-3) = (-1, -1)
B' = (2-2, 3-3) = (0, 0)
C' = (3-2, 1-3) = (1, -2)
therefore, B is the right answer option.
