Question

the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a scaled - copy is given by \(k=\frac{\text{length of a side in the scaled - copy}}{\text{length of the corresponding side in the original}}\)

Step2: Identify the corresponding sides

The original side length is \(18\) and the corresponding side length in the scaled - copy is \(72\)

Step3: Calculate the scale factor

Substitute the values into the formula: \(k = \frac{72}{18}\)
Simplify the fraction: \(\frac{72\div18}{18\div18}=4\)

Answer:

\(4\)