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 Definition

The scale factor from the original (left) triangle to the scaled (right) triangle is the ratio of a side length of the scaled triangle to the corresponding side length of the original triangle.

Step2: Identify Corresponding Sides

The left triangle has a side length of \( 5 \), and the corresponding side in the right triangle is \( \frac{5}{2} \).

Step3: Calculate Scale Factor

Divide the length of the scaled side by the original side: \( \frac{\frac{5}{2}}{5} = \frac{5}{2} \times \frac{1}{5} = \frac{1}{2} \).

Answer:

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