Question

consider the original rectangle and its reduction. figures not drawn to scale. what is the scale factor? 1/2 3/4 2 4

Explanation:

Step1: Recall the formula for scale factor

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

Step2: Substitute the values

We can use the height of the rectangles. The height of the reduced rectangle is \(2\) and the height of the original rectangle is \(4\). So, \(k = \frac{2}{4}\).

Step3: Simplify the fraction

\(\frac{2}{4}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)