Question

parallelogram fghj was dilated and translated to form similar parallelogram fghj. what is the scale factor of the dilation? 1/8 1/4 4 8

Explanation:

Step1: Find the length of corresponding sides

Let's assume the length of side \(GH\) in parallelogram \(FGHJ\) is \(2\) units (by counting the grid - squares). The length of the corresponding side \(G'H'\) in parallelogram \(F'G'H'J'\) is \(8\) units.

Step2: Calculate the scale factor

The formula for the scale factor \(k\) of a dilation is \(k=\frac{\text{length of side in original figure}}{\text{length of side in dilated figure}}\). So \(k = \frac{2}{8}=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\)