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 $k$ from the original figure to the scaled - copy is given by $k=\frac{\text{corresponding side length in scaled copy}}{\text{corresponding side length in original}}$.

Step2: Identify corresponding side lengths

Let the side length of the original triangle be $a = 10$ and the side length of the scaled - copy be $b = 18$.

Step3: Calculate the scale factor

$k=\frac{18}{10}=\frac{9}{5}$

Answer:

$\frac{9}{5}$