Question

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 pre - image to an image is given by the ratio of corresponding side lengths. Let the side length of the pre - image be $a$ and the side length of the image be $b$. Then $k=\frac{b}{a}$.

Step2: Identify corresponding side lengths

Let the side length of the smaller triangle be $a = 4$ and the side length of the larger triangle be $b = 17$.

Step3: Calculate the scale factor

The scale factor $k=\frac{17}{4}$.

Answer:

$\frac{17}{4}$