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

−16
negative Start Fraction 1 over 6 End Fraction

6
6

16
Start Fraction 1 over 6 End Fraction

3.5 .

1 answer

To determine the scale factor used to create the travel version of the triangular piece, we can compare the side lengths of the original triangle to the side lengths of the travel version.

The original triangle has a side length of 3 inches, and the travel version has a side length of 0.5 inches.

To find the scale factor, we can use the formula:

\[ \text{Scale Factor} = \frac{\text{Side of Travel Version}}{\text{Side of Original Version}} = \frac{0.5}{3} \]

Calculating this:

\[ \text{Scale Factor} = \frac{0.5}{3} = \frac{1}{6} \]

So the scale factor used to create the travel version of the piece is \(\frac{1}{6}\). Thus, the correct response is:

Start Fraction 1 over 6 End Fraction.