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
6
6
3.5
3.5
16
Start Fraction 1 over 6 End Fraction
−16
The correct answer is 6.
To identify the scale factor used to create the travel version of the triangular piece, we can use the formula:
Scale Factor = Travel Version Side Length / Original Version Side Length
In this case, the travel version of the piece measures 0.5 inches on each side, while the original version measures 3 inches on each side.
So, the scale factor would be:
Scale Factor = 0.5 inches / 3 inches
Simplifying this fraction, we get:
Scale Factor = 1/6
Therefore, the scale factor used to create the travel version of the triangular piece is 1/6 or 1 over 6.
To find the scale factor used to create the travel version of the triangular piece, we can divide the length of the travel version by the length of the original version.
Original version length: 3 inches
Travel version length: 0.5 inches
Scale factor = Travel version length / Original version length
Scale factor = 0.5 / 3 = 1/6
Therefore, the scale factor used to create the travel version of the triangular piece is 1/6.