Question

A board game uses a triangular piece measuring 3 inches on each side. The travel version of the game uses a triangle in a proportional relationship to the original. It measures 0.5 inches on each side. Identify the scale factor used to create the travel version of the piece.(1 point)
Responses

3.5
3.5

16
1
6
Start Fraction 1 over 6 End Fraction

6
6

−16

Answer 1

To find the scale factor used to create the travel version of the triangular piece, we can set up the ratio of the side lengths of the travel version to the original version.

The original triangle has a side length of 3 inches, and the travel version has a side length of 0.5 inches.

Scale Factor = (Side Length of Travel Version) / (Side Length of Original Version)

Scale Factor = 0.5 inches / 3 inches = 0.5 / 3 = 1 / 6.

Therefore, the scale factor used to create the travel version of the piece is \( \frac{1}{6} \).