Answer:
The scale factor of given coordinate [tex]\dfrac{1}{2}[/tex]
A is correct.
Step-by-step explanation:
We are given two coordinate O and K. The dilation with respect to origin.
[tex]D_{O,K}(6,12)\rightarrow (3,6)[/tex]
For scale factor,
[tex](x,y)\rightarrow (ax,ay)[/tex]
a is scale factor of coordinate.
If we divide new coordinate with old coordinate to get scale factor.
[tex]\text{ scale factor}=\dfrac{\text{x-value of new coordinate }}{\text{x-value of old coordinate}}[/tex]
[tex]\text{ scale factor}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
Hence, The scale factor of given coordinate [tex]\dfrac{1}{2}[/tex]
