Question

quadrilateral ndpm was dilated to quadrilateral ndpm. what was the scale factor for this dilation?

Explanation:

Step1: Find corresponding side lengths

Let's assume a side length of the original quadrilateral \(NDPM\). For example, if we consider a horizontal side. Suppose a side of \(NDPM\) has a length of \(3\) units (by counting grid - squares). The corresponding side of \(N'D'P'M'\) has a length of \(6\) units.

Step2: Calculate the scale factor

The scale factor \(k\) of a dilation is given by the formula \(k=\frac{\text{length of side in image}}{\text{length of side in pre - image}}\). So \(k = \frac{6}{3}=2\)

Answer:

\(2\)