Question

D O,K = (6, 12) → (3, 6) The scale factor is _____. 1/2 2 4

Answer 1

The scale factor of given coordinate
`(1)/(2)`

A is correct.

Explanation:

We are given two coordinate O and K. The dilation with respect to origin.

`D_(O,K)(6,12)\rightarrow (3,6)`

For scale factor,

`(x,y)\rightarrow (ax,ay)`

a is scale factor of coordinate.

If we divide new coordinate with old coordinate to get scale factor.

`\text{ scale factor}=\frac{\text{x-value of new coordinate }}{\text{x-value of old coordinate}}`

`\text{ scale factor}=(3)/(6)=(1)/(2)`

Hence, The scale factor of given coordinate
`(1)/(2)`