Proportions & Scale Factors Quick Check
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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 find the scale factor, we can divide the length of one side of the original triangular piece by the corresponding side of the travel version.
Original triangular piece: 3 inches on each side
Travel version of the piece: 0.5 inches on each side
Scale factor = Original length ÷ Travel length
= 3 inches ÷ 0.5 inches
Dividing 3 by 0.5 gives us a scale factor of 6.
Therefore, the scale factor used to create the travel version of the piece is 6.