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.

Answer 1

To find the scale factor, you can divide the length of the side of the travel version (0.5 inches) by the length of the side of the original version (3 inches).

Scale factor = travel version length / original length
Scale factor = 0.5 inches / 3 inches

Simplifying the fraction, we get:

Scale factor = 1/6

Therefore, the scale factor used to create the travel version of the piece is 1/6.