Question

match each scale factor with the appropriate figure. press the arrows to expand the images. a. 4 b. $\frac{1}{5}$ c. 1

Explanation:

Step1: Understand scale - factor rules

If the scale factor \(k> 1\), the figure is enlarged. If \(0 < k<1\), the figure is reduced. If \(k = 1\), the figure is congruent to the original.

Step2: Analyze the first pair of figures

The first pair of figures shows a reduction. Since the copy is smaller than the original, the scale - factor should be between 0 and 1. So the scale - factor for the first pair is \(\frac{1}{5}\).

Step3: Analyze the second pair of figures

The second pair of figures shows that the original and the copy are congruent. So the scale - factor is 1.

Step4: Analyze the third pair of figures

The third pair of figures shows an enlargement. Since the copy is larger than the original, the scale - factor should be greater than 1. So the scale - factor is 4.

Answer:

First figure: b. \(\frac{1}{5}\)
Second figure: c. 1
Third figure: a. 4