Question

Given a dilation around the origin, what is the scale factor K?

Dok = (12,8) (9,6)
3/4
4/3
2/3
-3/4

Answer 1

The answer is "
`(4)/(3)`"

Explanation:

Given:

`\bold{DoK = (12, 8) (9,6)}`

In the scale factor when we take x coordinate then the value of k is:

`\Rightarrow x= (x_1)/(x_2)\\\\\Rightarrow x= (12)/(9)\\\\\Rightarrow x= (4)/(3)\\`

If we take y coordinate then the value of k is:

`\Rightarrow y= (y_1)/(y_2)\\\\\Rightarrow y= (8)/(6)\\\\\Rightarrow y= (4)/(3)\\`

So, the final value of k is "
`(4)/(3)`" .