Question

If a coordinate was dilated from (-3, 2) to (-6, 4), what was the scale factor used?

Answer 1

Given:

A coordinate pair was dilated from (-3, 2) to (-6, 4).

To find:

The scale factor.

Solution:

We need to divide the coordinate of dilated point by the corresponding coordinate of original point to find the scale factor.

The value of scale factor is:

$k=\dfrac{x\text{-coordinate of image}}{x\text{-coordinate of original point}}$

$k=\dfrac{-6}{-3}$

$k=2$

Therefore, the scale factor is 2.