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

Scale factor \(=\frac{\text{Length of corresponding side in scaled - copy}}{\text{Length of corresponding side in original figure}}\)

Step2: Identify the corresponding sides

The length of the side in the original triangle is \(12\), and the length of the corresponding side in the scaled - copy is \(6\)

Step3: Calculate the scale factor

Scale factor \(=\frac{6}{12}\)
Simplify the fraction: \(\frac{6\div6}{12\div6}=\frac{1}{2}\)

Answer:

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