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.
6
3.5
-1/6
1/6
The scale factor used to create the travel version of the triangular piece is 1/6.
To identify the scale factor used to create the travel version of the triangular piece, we can compare the measurements of the original piece and the travel version.
Original piece:
Side length = 3 inches
Travel version:
Side length = 0.5 inches
To determine the scale factor, we divide the side length of the travel version by the side length of the original piece:
Scale factor = Travel version side length / Original side length
Scale factor = 0.5 inches / 3 inches
Simplifying the division, we get:
Scale factor = 1/6
Therefore, the scale factor used to create the travel version of the triangular piece is 1/6.
To identify the scale factor used to create the travel version of the triangular piece, we can divide the corresponding sides of the two triangles.
Given that the original triangular piece measures 3 inches on each side and the travel version measures 0.5 inches on each side, we can calculate the scale factor by dividing the corresponding sides:
Scale factor = (Size of travel version) / (Size of original)
Scale factor = (0.5 inches) / (3 inches)
Scale factor = 1/6
Therefore, the scale factor used to create the travel version of the triangular piece is 1/6.