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 from the original (left) to the copy (right) is the ratio of a side length of the copy to the corresponding side length of the original.

Step2: Identify corresponding sides

The left triangle has a side length of 10, and the corresponding side in the right triangle is 5.

Step3: Calculate scale factor

Scale factor = $\frac{\text{Length of copy side}}{\text{Length of original side}}$ = $\frac{5}{10}$ = $\frac{1}{2}$ (simplified by dividing numerator and denominator by 5).

Answer:

$\frac{1}{2}$