Respuesta :

ANSWER:

[tex]\frac{1}{2}[/tex]

Given a dilation with origin O(0, 0).

Given the coordinates:

K(x1, y1) ==> (x2, y2) = (6 , 12) ==> (3, 6)

To find the dilation of the scale factor that occured here, divide the new coordinates by the old coordinates.

We have:

[tex]\begin{gathered} \frac{y1}{x1}=\text{ }\frac{3}{6}\text{ = }\frac{1}{2} \\ \\ \frac{x2}{y2}=\frac{6}{12}=\frac{1}{2} \end{gathered}[/tex]

From the calculations above, we can see a dilation with a scale factor of 1/2 occured.

ANSWER:

1/2