Question

Determine the scale factor of the following dilation.

D O,K (9, 6) → (3, 2)

Answer 1

The scale factor is 1/3 because 9 x 1/3 = 3 and 6 x 1/3 = 2. 

Answer 2

The scale factor of the following dilation is,
`(1)/(3)`

Explanation:

The rule of dilation with scale factor k is given by:

`(x, y) \rightarrow (kx, ky)`

As per the statement:

Given the following dilation:

(9, 6) → (3, 2) .....[1]

We have to find the scale factor.

Using the above rule we have;

`(9, 6) \rightarrow (9k, 6k)`

Now compare this with equation [1] we have;

(9k, 6k) = (3, 2)

⇒9k = 3 or 6k = 2

After solving both we get;

`k = (1)/(3)`

Therefore, the scale factor of the following dilation is,
`(1)/(3)`