Verified Answer :

BLW515

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

Answer:

The scale factor of the following dilation is, \(\frac{1}{3}\)

Step-by-step 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;

\(k = \frac{1}{3}\)

Therefore,  the scale factor of the following dilation is, \(\frac{1}{3}\)

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