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?

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?
A. -1/6
B. 3.5
C. 6
D. 1/6

GPT 3.5 · Answer

To find the scale factor, we need to compare the lengths of the sides of the original piece and the travel version.

The length of a side of the original piece is 3 inches.
The length of a side of the travel version is 0.5 inches.

To find the scale factor, we divide the length of the travel version by the length of the original piece:
0.5 inches / 3 inches = 1/6

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

The correct answer is D. 1/6.