Question

DO,H = (7, 9) (14, 18) The scale factor is _____. 1/2 2 4 7/9

Answer 1

The scale factor is 2.

Step-by-step explanation

The point H(7,9) is dilated about the origin and the image is (14,18).

Let the scale factor be k.

Then,

`(7,9)\to (7k,9k)`

Comparing to the given image, we have:

`(7k,9k) = (14,18)`

This implies that,

`7k = 14`

Divide by 2

`k = 2`

Or

`9k = 18`

`k = 2`