Question

determining a scale factor
consider the original parallelogram and its reduction.
what is the scale factor?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) for a reduction is given by \(k=\frac{\text{length of reduced figure}}{\text{length of original figure}}\)

Step2: Identify the lengths

The length of the original parallelogram is \(18\) mm and the length of the reduced parallelogram is \(3\) mm.

Step3: Calculate the scale factor

Substitute the values into the formula: \(k = \frac{3}{18}\)

Simplify the fraction \(\frac{3}{18}=\frac{3\div3}{18\div3}=\frac{1}{6}\)

Answer:

\(\frac{1}{6}\)