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

Question

asked Sep 16, 2017 204k views

2 Answers

Dippynark · Answer 1 · 2017-09-22T03:50:59+0000

Answer:

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) .