Question

Given a dilation with the origin O (0,0), by observation determine the scale factor "K." Do, K = (6, 12) (3,6) O 1/2 O 2 O -3

Answer 1

`(1)/(2)`

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:

`\begin{gathered} (y1)/(x1)=\text{ }(3)/(6)\text{ = }(1)/(2) \\ \\ (x2)/(y2)=(6)/(12)=(1)/(2) \end{gathered}`

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

ANSWER:

1/2