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

Answer:

The scale factor is $\frac{1}{2}$.

Step-by-step 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

$K=\frac{5}{10}$

$K=\frac{1}{2}$

Therefore the scale factor is $\frac{1}{2}$.