Question

quadrilateral abcd is the image of quadrilateral abcd under a dilation. what is the scale factor of the dilation?

Explanation:

Step1: Identify corresponding side lengths

First, pick a pair of corresponding sides, like $AB$ and $A'B'$. Count grid units: $AB$ is 4 units, $A'B'$ is 2 units.

Step2: Calculate scale factor

Scale factor = $\frac{\text{Length of image side}}{\text{Length of original side}}$
$\text{Scale factor} = \frac{2}{4} = \frac{1}{2}$

Answer:

$\frac{1}{2}$