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.

Explanation:

Step1: Recall scale factor formula

The scale factor is the ratio of a side length of the scaled copy (right triangle) to the corresponding side length of the original triangle (left triangle). Let's take the side length of the left triangle as \( 5 \) and the corresponding side length of the right triangle as \( \frac{5}{2} \).

Step2: Calculate the scale factor

Using the formula for scale factor \( k=\frac{\text{length of scaled copy}}{\text{length of original}} \), we substitute the values: \( k = \frac{\frac{5}{2}}{5} \). Simplifying this, we can rewrite it as \( \frac{5}{2}\times\frac{1}{5}=\frac{1}{2} \).

Answer:

\(\frac{1}{2}\)