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 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 \( = 20\), length of corresponding side in original \(=70\)
Scale factor \(=\frac{20}{70}\)

Step3: Simplify the fraction

Divide numerator and denominator by their greatest common divisor (GCD). GCD of \(20\) and \(70\) is \(10\)
\(\frac{20\div10}{70\div10}=\frac{2}{7}\)

Answer:

\(\frac{2}{7}\)