Question

identify the scale factor given the graph 15.

Explanation:

Step1: Find the length of corresponding sides

Assume the length of \(DE\) is \(6\) units (from \(y -\) coordinate of \(D(0,6)\) to \(E(6,0)\) vertical - horizontal distance). The length of \(D'E'\) is \(2\) units (from \(D'(0,2)\) to \(E'(2,0)\) vertical - horizontal distance).

Step2: Calculate the scale factor

The scale factor \(k=\frac{\text{length of side in image}}{\text{length of side in pre - image}}\). So \(k = \frac{2}{6}=\frac{1}{3}\)

Answer:

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