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:
[tex](x,y)\rightarrow(ax,by)[/tex]
Each coordinate value is multiplied by the scale factor.
In this case, the scale factor is 1/2:
[tex]a=\frac{1}{2}[/tex]
Therefore, the transformation rule is:
[tex](x,y)\rightarrow(\frac{1}{2}x,\frac{1}{2}y)[/tex]
This rule is shown in option C.
Answer:
C.
[tex](x,y)\operatorname{\rightarrow}(\frac{1}{2}x,\frac{1}{2}y)[/tex]
