Determine the scale factor of the following dilation. D O,K (9, 6) → (3, 2)

Question

asked Dec 22, 2018 113k views

2 Answers

Ralpharoo · Answer 1 · 2018-12-28T07:08:37+0000

Answer:

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,