Question

find the scale factor (level 2) question the right - triangle on the right is a scaled copy of the right - triangle on the left. identify the scale factor. express your answer as a fraction in simplest form.

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from a smaller figure to a larger figure is given by the ratio of the corresponding side lengths of the larger figure to the smaller figure.

Step2: Identify corresponding side lengths

Let the side - length of the smaller triangle be $a = 3$ and the side - length of the larger triangle be $b = 9$.

Step3: Calculate the scale factor

$k=\frac{b}{a}=\frac{9}{3}=3$

Answer:

3