Question

1. what is the scale factor for the dilation?

Explanation:

Step1: Measure length of original side

Count grid units for $\overline{AE}$: it spans 6 units.

Step2: Measure length of dilated side

Count grid units for $\overline{A'E'}$: it spans 3 units.

Step3: Calculate scale factor

Divide dilated length by original length: $\text{Scale Factor} = \frac{\text{Length of } \overline{A'E'}}{\text{Length of } \overline{AE}}$
$\text{Scale Factor} = \frac{3}{6} = \frac{1}{2}$

Answer:

$\frac{1}{2}$