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 determined by dividing the length of the corresponding sides of the travel version triangle by the original triangle.
For the travel version of the piece, the length of each side is 0.5 inches.
For the original triangle, the length of each side is 3 inches.
Therefore, the scale factor is:
0.5 inches / 3 inches = 1/6
So, 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 measurements of the original and the travel version.
According to the given information, the original triangular piece measures 3 inches on each side, while the travel version measures 0.5 inches on each side.
To find the scale factor, we divide the length of the travel version by the length of the original.
Scale factor = (Length of travel version) / (Length of original)
Scale factor = 0.5 inches / 3 inches
Simplifying this expression, we get:
Scale factor = 1/6
Therefore, the correct answer is A. 1/6.
To find the scale factor, we need to compare the lengths of corresponding sides of the original piece and the travel version.
The length of the corresponding side in the original piece is 3 inches, and the length of the corresponding side in the travel version is 0.5 inches.
To find the scale factor, we divide the length of the side in the travel version by the length of the side in the original version:
Scale factor = Length in travel version / Length in original version
Scale factor = 0.5 inches / 3 inches
Scale factor = 1/6
Therefore, the scale factor used to create the travel version of the piece is 1/6.
The correct answer is A. 1/6.