Question

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

Explanation:

Step1: Determine the length of a side in the original and dilated figure

Assume a side length in the original quadrilateral \( NDPM\) is \( 3\) units (by counting grid - squares). The corresponding side length in the dilated quadrilateral \( N'D'P'M'\) is \( 1\) unit.

Step2: Calculate the scale factor

The formula for the scale factor \(k\) of a dilation is \(k=\frac{\text{length of side in dilated figure}}{\text{length of side in original figure}}\). So, \(k = \frac{1}{3}\)

Answer:

\(\frac{1}{3}\)