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 a side of the original parallelogram

Count the units for side \(GH\) in parallelogram \(FGHJ\). \(GH = 2\) units.

Step2: Find the length of the corresponding side of the dilated parallelogram

Count the units for side \(G'H'\) in parallelogram \(F'G'H'J'\). \(G'H'=8\) units.

Step3: Calculate the scale factor

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

Answer:

\(\frac{1}{4}\) (the second option)