Explanation:
When we dilate a point by a scale factor "a" and the center of the dilation is the origin, the original point (x,y) changes as follows:

Each coordinate value is multiplied by the scale factor.
In this case, the scale factor is 1/2:

Therefore, the transformation rule is:

This rule is shown in option C.
Answer:
C.
![(x,y)\operatorname{\rightarrow}((1)/(2)x,(1)/(2)y)]()