Question

consider the original parallelogram and its reduction. 18 mm 3 mm figures not drawn to scale. what is the scale factor? hint: what kind of number should the scale factor be for a reduction? 1/6 1/3 3 6

Explanation:

Step1: Recall scale factor formula

The scale factor for a reduction is the ratio of the length of the reduced figure to the length of the original figure. So, scale factor \(=\frac{\text{Length of reduced figure}}{\text{Length of original figure}}\).

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: scale factor \(=\frac{3}{18}\). Simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is \(3\). So, \(\frac{3\div3}{18\div3}=\frac{1}{6}\).

Answer:

\(\boldsymbol{\frac{1}{6}}\) (corresponding to the option \(\frac{1}{6}\))