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

Step2: Substitute the values

Here, length of side in scaled - copy \( = 7\) and length of corresponding side in original \(=14\)
Scale factor \(=\frac{7}{14}\)

Step3: Simplify the fraction

\(\frac{7\div7}{14\div7}=\frac{1}{2}\)

Answer:

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