Answer:
The scale factor of the following dilation is, [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The rule of dilation with scale factor k is given by:
[tex](x, y) \rightarrow (kx, ky)[/tex]
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;
[tex](9, 6) \rightarrow (9k, 6k)[/tex]
Now compare this with equation [1] we have;
(9k, 6k) = (3, 2)
⇒9k = 3 or 6k = 2
After solving both we get;
[tex]k = \frac{1}{3}[/tex]
Therefore, the scale factor of the following dilation is, [tex]\frac{1}{3}[/tex]
