Question

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. answer. attempt 1 out of 2

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original figure to the scaled - copy is found by dividing the corresponding side length of the scaled - copy by the corresponding side length of the original figure.

Step2: Identify corresponding side lengths

The side length of the original triangle is 5, and the side length of the scaled - copy triangle is $\frac{5}{2}$.

Step3: Calculate the scale factor

Let the scale factor be $k$. Then $k=\frac{\text{side length of scaled - copy}}{\text{side length of original}}=\frac{\frac{5}{2}}{5}=\frac{5}{2}\times\frac{1}{5}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$