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 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 91, and the corresponding side in the right triangle is 54.

Step3: Calculate scale factor

Scale factor = $\frac{\text{Length of copy side}}{\text{Length of original side}}$ = $\frac{54}{91}$ (since 54 and 91 have no common factors other than 1, it's in simplest form).

Answer:

$\frac{54}{91}$