Answer:
Correct choice is C
Step-by-step explanation:
A dilation by a factor [tex]\dfrac{1}{2}[/tex] with the center of dilation at origin has the rule:
[tex](x,y)\mapsto \left(\dfrac{x}{2},\dfrac{y}{2}\right).[/tex]
If pre-image point A has coordinates (0,-5) (from the diagram), then the image point A' will have coordinates
[tex]\left(\dfrac{0}{2},\dfrac{-5}{2}\right)=\left(0,-2.5\right).[/tex]
