Recall that a dilation by a factor of k, transforms the point (x,y) as follows:
[tex](x,y)\rightarrow(kx,ky).[/tex]
Now, the coordinates of point C are:
[tex]C=(2,4).[/tex]
Therefore, after the dilation, the coordinates of C' are:
[tex]C^{\prime}=(\frac{1}{2}(2),\frac{1}{2}(4)).[/tex]
Simplifying the above result, you get:
[tex]C^{\prime}=(1,2).[/tex]
Answer:
[tex]C^{\prime}=(1,2).[/tex]
