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. 78 43 78 43

Explanation:

Step1: Recall Scale Factor Definition

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

Step2: Identify Corresponding Sides

The left triangle has a side length of 78, and the corresponding side in the right triangle is 43.

Step3: Calculate Scale Factor

Scale factor = $\frac{\text{Scaled Copy Side}}{\text{Original Side}} = \frac{43}{78}$ (43 and 78 have no common factors other than 1, so it's in simplest form).

Answer:

$\frac{43}{78}$