Question

1. a scale factor was applied to the left triangle to produce the right triangle. what scale factor was applied?

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{length of corresponding side in new figure}}{\text{length of corresponding side in original figure}}\)

Step2: Identify corresponding sides

Let's take the side of length \(6\) inches in the left - hand triangle (original) and the side of length \(21\) inches in the right - hand triangle (new).

Step3: Calculate the scale factor

Using the formula, scale factor \(=\frac{21}{6}=\frac{7}{2} = 3.5\)

Answer:

The scale factor is \(3.5\)