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

−1/6
negative 1 sixth

3.5
3 point 5

6
6

1/6

1 answer

To find the scale factor used to create the travel version of the triangular piece, you can compare the sides of the original triangle to the sides of the travel version.

The original piece measures 3 inches on each side, and the travel version measures 0.5 inches on each side.

The scale factor can be calculated by dividing the side length of the travel version by the side length of the original version:

Scale factor = (Side length of travel version) / (Side length of original version)
Scale factor = 0.5 inches / 3 inches
Scale factor = 0.5 / 3
Scale factor = 1/6

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