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.
To identify the scale factor used to create the travel version of the triangular piece, we need to compare the original size to the new size.
Let's call the original size of the triangular piece "O" and the new size "N." The original triangular piece measures 3 inches on each side, and the travel version measures 0.5 inches on each side.
To find the scale factor, we divide the new size by the original size:
Scale factor = N / O
Substituting the given measurements:
Scale factor = 0.5 inches / 3 inches
Simplifying the fraction:
Scale factor = 1/6
So, the scale factor used to create the travel version of the triangular piece is 1/6.
The scale factor used to create the travel version of the piece is 1:6.
To identify the scale factor used to create the travel version of the triangular piece, we can compare the corresponding side lengths of the two triangles.
The original triangular piece measures 3 inches on each side.
The travel version of the piece measures 0.5 inches on each side.
To find the scale factor, we can divide the length of the corresponding side of the travel version (0.5 inches) by the length of the corresponding side of the original version (3 inches).
Scale factor = 0.5 inches รท 3 inches
Simplifying the division, we get:
Scale factor = 1/6
Therefore, the scale factor used to create the travel version of the triangular piece is 1/6.