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 scale - factor formula

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

Step2: Identify corresponding side lengths

The side length of the original triangle is 4 and the side length of the scaled - copy triangle is 19.

Step3: Calculate the scale factor

$k = \frac{19}{4}$

Answer:

$\frac{19}{4}$