Question

For the dilation, DO, K = (10, 0) → (5, 0), the scale factor is equal to...?

Answer 1

the scale factor would be 1/2

Answer 2

The scale factor is
`(1)/(2)`.

Explanation:

The given rule of dilation is

`D_(O,K)=(10,0)\rightarrow (5, 0)`

It means the figure is dilated by scale factor K with center at origin.

If a figure dilated by scale factor K center at origin, then the scale factor is

`K=\frac{\text{x-coordinate of image}}{\text{x-coordinate of preimage}}`

The x-coordinate of image is 5 and the x-coordinate of preimage is 10. So, the scale factor is

`K=(5)/(10)`

`K=(1)/(2)`

Therefore the scale factor is
`(1)/(2)`.