Question

1. point m(2, 4) was dilated to m(9, 18). what was the scale factor, and was the dilation an enlargement or reduction?

Explanation:

Step1: Calculate scale factor (x-coord)

$\text{Scale factor } k = \frac{9}{2} = 4.5$

Step2: Verify scale factor (y-coord)

$\text{Scale factor } k = \frac{18}{4} = 4.5$

Step3: Classify dilation

Since $k>1$, it is an enlargement.

Answer:

The scale factor is $4.5$ (or $\frac{9}{2}$), and the dilation is an enlargement.