Question

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

−16
negative Start Fraction 1 over 6 End Fraction

16
Start Fraction 1 over 6 End Fraction

3.5

Answer 1

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

The original triangle measures 3 inches on each side, and the travel version measures 0.5 inches on each side.

To calculate the scale factor, you can use the formula:

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

Now, simplifying this fraction:

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

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

The correct response is \( \frac{1}{6} \).