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. -1/6
C. 6
D. 3.5
The scale factor is the ratio of the lengths of corresponding sides in the two triangles.
In this case, the original triangle has side length of 3 inches and the travel version triangle has a side length of 0.5 inches.
The scale factor is therefore 0.5/3 = 1/6.
Therefore, the correct answer is A. 1/6.
To find the scale factor, we can divide the length of the travel version of the triangular piece by the length of the original triangular piece.
The travel version measures 0.5 inches on each side, while the original triangle measures 3 inches on each side.
So, the scale factor is 0.5 / 3 = 1/6.
Therefore, the correct answer is A. 1/6.
To identify the scale factor used to create the travel version of the triangular piece, we need to compare the dimensions of the original piece to the dimensions of the travel version.
The original triangular piece measures 3 inches on each side.
The travel version of the triangular piece measures 0.5 inches on each side.
To find the scale factor, we divide the dimensions of the travel version by the corresponding dimensions of the original:
Scale factor = (Travel version dimension) / (Original dimension)
Scale factor = (0.5 inches) / (3 inches)
Scale factor = 0.5 / 3
Simplifying the division gives us:
Scale factor = 1/6
Therefore, the correct answer is A. 1/6.