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 scale - factor formula

The scale factor from the original figure to the scaled - copy is the ratio of the corresponding side lengths of the scaled - copy to the original figure. Let the side length of the original triangle be $a$ and the side length of the scaled - copy be $b$. The scale factor $k=\frac{b}{a}$.

Step2: Identify corresponding side lengths

The side length of the original triangle is $a = 3$ and the side length of the scaled - copy is $b = 1$.

Step3: Calculate the scale factor

$k=\frac{1}{3}$

Answer:

$\frac{1}{3}$