Final answer:
To dilate a point by a scale factor of 2/3, multiply its original coordinates by 2/3. None of the provided answer choices reflect a correct dilation due to the lack of original point coordinates and the presence of only integer coordinate choices.
Step-by-step explanation:
The question asks about the dilation of a point HEXAGO with a specific scale factor of 2/3 about the origin. To find the coordinates of X' after dilation, we have to multiply the original coordinates of X by the scale factor 2/3.
Assuming X has coordinates (a, b), the coordinates of X' would be (a * 2/3, b * 2/3). Without the actual coordinates of X, we cannot determine the exact coordinates of X'. However, none of the answer choices provided correspond to a correct dilation by a factor of 2/3, since the options haven't provided the original coordinates for X and they are all integers which suggests no scaling has occurred. Thus, additional information is needed to solve the problem correctly.